What is the mass of a cylinder of lead that is 1.80 in in diameter, and 4.12 in long. the density of lead is 11.4 g/ml?

Answers

Answer 1

The mass of the lead cylinder is 1963.53 grams.

Given that;

The mass of a cylinder of lead that is 1.80 in diameter, and 4.12 in long.

Now for the mass of a lead cylinder, use the formula:

Mass = volume × density

First, calculate the volume of the cylinder.

The volume of a cylinder is given by:

[tex]\text {Volume} = \pi r^2 h[/tex]

where r is the radius and h is the height.

Given that the diameter of the cylinder is 1.80 in,

Hence, find the radius by dividing it by 2:

Radius = 1.80 in / 2

Radius = 0.90 in

Next, convert the radius and height to the same unit as the density, which is grams per millilitre (g/ml).

Let's convert the dimensions to centimetres.

Since; 1 inch = 2.54 cm:

Hence, We get;

Radius = 0.90 in × 2.54 cm/in

           = 2.29 cm

Height = 4.12 in × 2.54 cm/in

           = 10.46 cm

Now, calculate the volume:

[tex]\text { Volume} = \pi \times (2.29 cm)^2 \times 10.46 cm[/tex]

             [tex]= 172.24 cm^3[/tex]

Since the density of lead is given as 11.4 g/ml, we need to convert the volume from cm³ to ml:

[tex]Volume = 172.24 cm^3 \times (1 ml / 1 cm^3)[/tex]

             [tex]= 172.24 ml[/tex]

Finally, calculate the mass using the formula:

Mass = Volume × Density

Mass = 172.24 ml × 11.4 g/ml

Mass = 1963.53 g

Therefore, the mass of the lead cylinder is 1963.53 grams.

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Answer 2

Final answer:

To find the mass of a lead cylinder with given dimensions and density, calculate the cylinder's volume in cubic centimeters (which equals milliliters), then multiply by the density of lead to find the mass in grams. The mass of the cylinder is approximately 1892.63 grams or 1.893 kg.

Explanation:

The student is asking for the mass of a cylinder of lead with a diameter of 1.80 inches and a length of 4.12 inches, given that the density of lead is 11.4 g/ml. To solve this, we first need to calculate the volume of the cylinder using the formula V = πr^2h, where V is volume, r is radius (half the diameter), and h is height (or length in this case). Then, we convert the volume into milliliters (since the density is given in g/ml) and use the density formula (mass = density × volume) to find the mass.

First, convert the dimensions to centimeters because the density is given in g/cm³ (1 inch = 2.54 cm).

Diameter in cm: 1.80 inches × 2.54 = 4.572 cmLength in cm: 4.12 inches × 2.54 = 10.46 cmRadius in cm: 4.572 cm / 2 = 2.286 cmVolume of cylinder = π × (2.286 cm)^2 × 10.46 cm = approximately 166.02 cm³Convert cm³ to ml (1 cm³ = 1 ml), so volume = 166.02 ml.Mass of the lead cylinder = 11.4 g/ml × 166.02 ml = approximately 1892.63 grams or 1.893 kg.

Related Questions

What are the SI base units for length and mass?
kilometer and gram
meter and gram
meter and kilogram
kilometer and kilogram

Answers

The answer is:
Meter and Kilogram

I hope that i could be of assistance! ;)

Answer:

meter and kilogram

Explanation:

As we know that there are seven fundamental SI units which are used to fine derived units

these are as following

1). Mass - Kilogram

2). Length - meter

3). Time - Seconds

4). Electric Current - Ampere

5). Amount of substance - Moles

6). Intensity of light - Candela

7). Temperature - Kelvin

A probe orbiting Venus exerts a gravitational force of 2.58 × 10^3 N on Venus. Venus has a mass of 4.87 × 10^24 kg. The mass of the probe is 655 kilograms.To three significant digits, the probe is 9.08 × 10^6 m from the center of Venus.

Answers

So this is the info that's given to us:
m1 = 4.87 x 10^24 kg
m2 = 4.87 x 10^24kg
F = 2.58 x 10^3 N

Now we can use this equation to solve: [tex]f_g= \frac{Gm_1m_2}{r^2} [/tex]

You may be asking what g is. Well, it is equal to 6.67x10^-11 m3 /kg s2. G is gravitational constant. So :

[tex]2.58 x 10^3 = \frac{6.67x10^{-11} * 4.87 x 10^{24} * 655}{r^{2}} [/tex] 

As you can see we only have one variable, so we solve for r! 

[tex]r = 9.08 x 10^6 km[/tex]

I hope this helps you out. I remember when I was first learning Newton's law of universal gravitation and I had some trouble. But with some practice, I got better. =) 

Answer:

9.08

Explanation:

What is the major role of the Nuclear Regulatory Commission? Monitoring and regulating nuclear waste generated and issues associated to it in the US. Stopping nuclear research in other countries. Preventing a nuclear attack on the US. Investigating new uses for nuclear materials in the US.

Answers

The correct answer is A) Monitoring and regulating nuclear waste generated and issues associated to it in the US. Hope this helps.

Suppose a 4.0 kg mass of water gained heat and increased in temperature from 10°C to 15°C. The specific heat capacity of water is 4.186 kJ/kg°C. How much heat was gained by the water?

9.6 kJ
20 kJ
56 kJ
84 kJ

Answers

84 becuse if you do the equation right the results will conglude in 84 kj

M = 4 kg

s = 4.186 kJ/Kg °C

10°C to 15°C.

ᐃ t = 15°C. - 10°C

           = 5°C

Q= msᐃt

  = 4*4.186*5°C

  = 83.72 kJ

What is heat ?

"Heat is the transfer of kinetic energy from one medium or object to another, or from an energy source to a medium or object. Such energy transfer can occur in three ways: radiation, conduction, and convection."

What is specific heat ?

"The quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree. The units of specific heat are usually calories or joules per gram per Celsius degree."

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Two scientists are discussing their beliefs about something they cannot observe

Answers

Could it be hypothesis?
they're
talking about  what some one told them 

The speed of sound in air is 331 m/s. what is the plane's speed in terms of the speed of sound?

Answers

Final answer:

The plane's speed in relation to the speed of sound, called Mach number, can be determined by dividing the plane's speed by the speed of sound.

Explanation:

The speed of a plane in relation to the speed of sound, often referred to as Mach number, is determined by dividing the plane's speed by the speed of sound. An airplane flying at the speed of sound would thus be flying at Mach 1. If the plane is flying faster than the speed of sound, it is considered to be supersonic. For instance, if the speed of the plane is 662 m/s, that would be Mach 2 as it is twice the speed of sound which is 331 m/s.

Therefore, to find the plane's speed in terms of the speed of sound, you would divide the plane's speed by 331 m/s.

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To express the plane's speed in terms of the speed of sound, we use the Mach number. If the speed of sound in air is 340 m/s, a plane traveling at Mach 2.00 is moving at 680 m/s (2 x 340 m/s).

The speed of sound in air is variable, depending on temperature and atmospheric pressure but is approximately 340 m/s at sea level at 21°C. When we talk about aircraft speeds, we often refer to their speed in terms of their Mach number, which is the ratio of the object's speed to the speed of sound. For instance, an aircraft flying at Mach 1 is traveling exactly at the speed of sound for those conditions, while Mach 2 indicates it is traveling twice the speed of sound. Therefore, if the speed of sound is 340 m/s and a plane is traveling at Mach 2, its speed is simply calculated by doubling the speed of sound, which gives us a velocity of 680 m/s. This is why an observer might hear a sonic boom without seeing the plane: it has passed by before the sound reaches the observer. Changes in air temperature also affect the speed of sound, so when a supersonic aircraft transitions from warmer to colder air, adjustments in velocity must be made to maintain the same Mach number due to the changed speed of sound.

A fugitive tries to hop on a freight train traveling at a constant speed of 5.0 m/s. Just as an empty box car passes him, the fugitive starts from rest and accelerates at a = 3.8 m/s2 to his maximum speed of 8.0 m/s.

Answers

Let d =  distance that the fugitive travels to get on the train.

Let t =  the time to travel the distance d.
The fugitive starts from rest accelerates at a = 3.8 m/s².
Therefore
(1/2)*(3.8 m/s²)*(t s)² = (d m)
1.9 t² = d                      (1)

The train travels at constant speed  5.0 m/s.
Therefore
(5.0 m/s)*(t s) = d    
5t = d                          (2)

If the fugitive successfully boards the train, then equate (1) and (2).
1.9t² = 5t
t = 0 or t = 2.6316 s
Ignore t = 0, so t = 2.6316 s.

The speed of the fugitive after 2.6316 s, is
v = (3.8 m/s²)*(2.6316 s) = 10 s

This speed exceeds the maximum speed of the fugitive, therefore the fugitive fails to get on the train.

Answer: The fugitive fails to get on the train.

A. The time to catch up to the empty box car is about 2.8 s

B. The distance traveled to reach the box car is about 14 m

Further explanation

Acceleration is rate of change of velocity.

[tex]\large {\boxed {a = \frac{v - u}{t} } }[/tex]

[tex]\large {\boxed {d = \frac{v + u}{2}~t } }[/tex]

a = acceleration ( m/s² )

v = final velocity ( m/s )

u = initial velocity ( m/s )

t = time taken ( s )

d = distance ( m )

Let us now tackle the problem !

Given:

Acceleration of car = a = 3.8 m/s²

Initial Velocity of car = u = 0 m/s

Velocity of train = vt = 5.0 m/s

Unknown:

A . Time Taken = t = ?

B. Distance = d = ?

Solution:

Question A:

Firstly, we calculate for the distance traveled by the car until it reaches a maximum speed of 8 m / s.

[tex]v^2 = u^2 + 2ad_1[/tex]

[tex]8^2 = 0^2 + 2(3.8)d_1[/tex]

[tex]64 = 7.6d_1[/tex]

[tex]\boxed {d_1 = \frac{160}{19} ~ m}[/tex]

Next , we find time taken for the car to reach this maximum speed

[tex]v = u + a t[/tex]

[tex]8 = 0 + 3.8t'[/tex]

[tex]t' = 8 \div 3.8[/tex]

[tex]\boxed {t' = \frac{40}{19} ~ s}[/tex]

When trains and cars meet, then

[tex]d_{train} = d_{car}[/tex]

[tex]v_t \times t = d_1 + v_{max} \times (t - t')[/tex]

[tex]5t = \frac{160}{19} + 8(t - \frac{40}{19})[/tex]

[tex]5t = \frac{160}{19} + 8t - \frac{320}{19}[/tex]

[tex]5t = -\frac{160}{19} + 8t[/tex]

[tex]8t - 5t = \frac{160}{19}[/tex]

[tex]3t = \frac{160}{19}[/tex]

[tex]t = \frac{160}{19} \div 3[/tex]

[tex]t = \frac{160}{57} ~ s[/tex]

[tex]\large {\boxed {t \approx 2.8 ~ s} }[/tex]

Question B:

[tex]d_{car} = -\frac{160}{19} + 8t[/tex]

[tex]d_{car} = -\frac{160}{19} + 8 \times \frac{160}{57} [/tex]

[tex]d_{car} = \frac{800}{57} ~ m[/tex]

[tex]\large {\boxed {d_{car} \approx 14 ~ m} }[/tex]

Learn moreVelocity of Runner : https://brainly.com/question/3813437Kinetic Energy : https://brainly.com/question/692781Acceleration : https://brainly.com/question/2283922The Speed of Car : https://brainly.com/question/568302

Answer details

Grade: High School

Subject: Physics

Chapter: Kinematics

Keywords: Velocity , Driver , Car , Deceleration , Acceleration , Obstacle , Speed , Time , Rate

How far will sound travel in 60 seconds if the temeperature is 20c?

Answers

speed at 20°C = 343m/s
time taken= 60s

distance = speed × time
= 343 × 60
= 20,580m

The Greeks studied charges using _____.
gold
copper
magnetite
amber

Answers

Amber was used by Greeks to study charges.

The answer is
amber.

Answer:

amber

Explanation:

The term "electric" was coined from the word amber. This was when the Greeks found out that many materials become electric when they were rubbed with certain electric materials. In fact, there were two types of electric charge.

When amber was rubbed with fur, the material possessed what was known as resinous electricity. On the other hand, when the material was rubbed against silk, it acquired what was known as vitreous electricity.

Thus, it was thought that electricity was produced by friction of amber.

A------turns about a fixed point called a fulcrum.

Answers

it's a [tex]lever[/tex]

Answer:

lever

Explanation:

A ball is tossed upward from a tall building, and its upward velocity v in feet per second, is a function of time t, in seconds, since the ball was thrown. the formula is v(t)=80-32t if we ignore air resistance. express using functional notation the velocity 4 seconds after the ball is thrown and then calculate that value. is the ball rising or falling then?

Answers

To calculate the velocity after 4 seconds, just simply use the given equation by substituting t=4 seconds. That would be 

v(4) = 80 - 32(4) = -48 m/s

Velocities are vector quantities. It means that the bearing of the sign matters with respect to the direction of the motion. In conventional terms, negative vectors point downwards or to the left. Positive vectors point upward or to the right. Since the velocity has a negative sign, the ball must be falling downwards.

What information and measurements would you need to calculate the rate of movement?

Answers

Final answer:

To calculate the rate of movement, you need displacement and time to determine velocity and average velocity. Acceleration requires additional time and displacement data, used with kinematic equations. In analyzing motion, combining displacements and velocities in two dimensions is essential to determine overall movement parameters.

Explanation:

To calculate the rate of movement, you would need information on both displacement and time. These two measurements allow you to determine velocity, average velocity, and acceleration. Velocity is the rate of change of displacement with time, and it can be calculated if you know the displacement of an object and the time it took to cover that displacement. To find average velocity, you divide the total displacement by the total time.

In cases involving acceleration, you would need additional displacement and time data to calculate how quickly the velocity is changing. Kinematic equations are particularly useful for this purpose. One of the basic kinematic equations, v = u + at (where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time), can be used to find the final velocity of an object.

To determine negative acceleration, also known as deceleration, you would again use kinematic equations. The kinematic equation v^2 = u^2 + 2as (where s is the displacement) can be rearranged to solve for acceleration.

In Physics, especially in Advanced Placement (AP) courses, describing motion in two dimensions often requires combining displacements and velocities in various directions. This is done to calculate the overall displacement and average velocity. Measurements like the total time in the air, the maximum height reached, and the horizontal distance covered are critical when analyzing projectile motions or any two-dimensional movements.

Finally, to measure momentum, one would have to measure mass and velocity. The momentum of a body is given by the product of its mass and velocity. Depending on the experiment, you might measure the force over the duration of a collision using sensors or high-speed cameras to determine the initial and final velocities of the objects involved.

a baseball rolls off a 0.70 m high desk and strikes the floor 0.25m away from the base of the desk. how fast was the ball rolling?
please help... I don't understand this :(

Answers

We can calculate the time it takes for the ball to fall to the floor. y = (1/2) a t^2 t = sqrt { 2y / g } t = sqrt { (2) (0.70 m) / (9.80 m/s^2) } t = 0.378 seconds In a time of 0.378 seconds, the ball traveled a horizontal distance of 0.25 meters. We can find the horizontal speed when the ball was rolling on the desk. v = d / t v = 0.25 m / 0.378 s v = 0.66 m/s The ball was rolling at a speed of 0.66 m/s when it was rolling on the desk.

By breaking the problem into vertical and horizontal components, we determined the time the ball was in the air and used it to calculate the horizontal velocity. The ball was rolling off the desk at approximately 0.66 m/s. This involves understanding projectile motion in physics.

To determine how fast the baseball was rolling off the desk, we need to use principles of projectile motion. We can break the motion into horizontal (x-direction) and vertical (y-direction) components.

Vertical (y-direction) Analysis:

Initial vertical velocity (u_y) is 0 m/s because the ball is rolling horizontally off the desk.Height of the desk (h) = 0.70 m.Acceleration due to gravity (g) = 9.8 m/s².We can use the kinematic equation: h = (1/2) * g * t² to find the time (t) it takes for the ball to hit the ground.Solving for t: 0.70 = 0.5 * 9.8 * t² → t² = (0.70 * 2) / 9.8 → t² ≈ 0.143 → t ≈ 0.38 s.

Horizontal (x-direction) Analysis:

The horizontal distance (d) the ball travels is 0.25 m.The time in the air is the same as calculated in the vertical direction, t ≈ 0.38 s.The horizontal velocity (v_x) can be found using the equation: d = v_x * t.Solving for v_x: 0.25 = v_x * 0.38 → v_x ≈ 0.25 / 0.38 → v_x ≈ 0.66 m/s.

Therefore, the ball was rolling off the desk at approximately 0.66 m/s.

Which of the following is a natural resource that is used to produce margarine?

butter
water
hydrogenated oil
plants

Answers

the answer is water and plants

Final answer:

Hydrogenated oil, derived from plants, is used to produce margarine. The hydrogenation process converts liquid vegetable oils into solid or semi-solid fats, making them more stable for use in products like margarine.

Explanation:

The natural resource used to produce margarine is hydrogenated oil. Hydrogenation is a chemical process that converts liquid vegetable oils into solid or semi-solid fats, which are more stable. Margarine is made by reacting these oils (from plants like sunflowers, canola, or soy) with hydrogen. This is in the presence of a catalyst, usually a metal. The hydrogenation process solidifies the oils and changes their nutritional profile.

While water can be a component in the production process and plants are the source of the vegetable oils used, it's the hydrogenated oil that is the primary ingredient.

Butter, on the other hand, is not used in the production of margarine as it is an animal product and margarine is created as a plant-based alternative to it.

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Write about a possible scenario where you may be tempted to not use lab safety explain what the correct and most safe choice would be in that situation

Answers

One instance of forgoing lab safety would be a simple drop of a chemical into a test tube, and not wearing protective eye gear. Although it seems irrelevant to put on the goggles just for this matter, it is ultimately the safest option to do so in order to remain unharmed.

A 5kg block of iron is heated to 800degree C.it is placed in a tub containing 2litre of water at 15degree C.Assuming all the water is brought to the boil rapidly calculate the mass of water which boile off.

Answers

Final answer:

To calculate the mass of water that evaporates, we apply energy conservation between the heated iron block and the water. Heat transfers from the iron to the water until the water boils and some evaporates. Specific heat capacities and latent heat values are needed for a numerical solution.

Explanation:

To calculate the mass of water that boiled off when a 5kg block of iron is heated to 800℃ and placed in a tub containing 2 liters of water at 15℃, we apply the concept of conservation of energy. The heat lost by the iron block will be equal to the heat gained by the water, which will result in water reaching its boiling point and some of it evaporating. The specific heat capacity of water, the heat of vaporization of water, and the specific heat capacity of iron are crucial to these calculations.

We can denote the mass of water that evaporates as m, and calculate the heat required to raise the temperature of the remaining water from 15℃ to 100℃ and convert the m grams of water at 100℃ into steam. However, we need additional data such as the specific heat capacities and the latent heat of vaporization for water to provide a concrete answer. Without the specific values, we can only describe the methodology.

mason notices that his boat sinks lower into the water in a freshwater lake than in the ocean. what can explain this?

Answers

The effect of how salt in the water can change the boyincy

Answer: the boat is more dense in salt water

Explanation:

A 48 kg girl is standing on a chair. What is the force exerted by the chair?

Answers

Weight of the girl and the chair (480N)
Since the chair is preventing the girl from touching the ground, The chair is exerting the force onto the girl (upwards), 

and the amoutn of force would be

F = mass x gravity

F= 48 x 9.8

F = 471 N

So the answer would be 471 N upwards

The internal pressure of a cylinder with one ounce of liquid r-410a refrigerant, which has been sitting in a 100 degree fahrenheit truck is ________.

Answers

The substance R-410A is a trademark symbol given to a refrigerant also known as Freon™. Since this is a synthetic substance, known thermophysical conditions are already tabulates as shown in the picture. At a temperature of 100°F, the pressure of the saturated liquid R-410A would be 332.38 psia.

Your body converts chemical energy to all of the following except

Answers

NUCLEAR ENERGY BECAUSE THAT WOULD BE DANGEROUS. 

Explain when the median of a data set is a better measure of the center than the mean

Answers

The median is better when there are outliers in the data set because they can throw off the mean by a lot

Answer:

When there is an outlier in the data set, the dot plot or histogram will be skewed. In a skewed representation, the mean is pulled up or down toward the tail of the data. Therefore, skewed data affects the mean more than the median.

Explanation:

The dot plot or histogram will be skewed.

If a substance is changing from a vapor to a liquid, like steam on a mirror, it is said to be _______.

volatile

condensing

crystallized

changing pigmentation

Answers

Answer:

condensing

Explanation:

Condensing is the word used to indicate the change of state of a substance from vapor to liquid, as in this case. During condensation, the substance releases thermal energy to the environment, therefore the kinetic energy of the molecules in the vapor decreases until they become closer to each other and they start to be affected by the intermolecular forces and so the substance becomes a liquid.


Answer: condensing

Explanation: I took the test

A box of mass 5.0 kg is accelerated from rest by a force across a floor at a rate of 2.0 m/s2 for 7.0 s. find the net work done on the box.

Answers

Answer:

Work done on the box is 490 joules.

Explanation:

It is given that,

Mass of the box, m = 5 kg

Initial speed of the box, u = 0

Acceleration of the box, [tex]a=2\ m/s^2[/tex]

Time taken, t = 7 s

The force is calculate using the product of mass and acceleration. It is given by :

F = ma

[tex]F=5\ kg\times 2\ m/s^2=10\ N[/tex]

Let d is the distance covered by the box. Using the equation of motion as :

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

[tex]d=\dfrac{1}{2}\times 2\ m/s^2\times (7\ s)^2[/tex]

d = 49 m

The product of force and distance is equal to the work done on the box. It is given by :

[tex]W=F\times d[/tex]

[tex]W=10\ N\times 49\ m[/tex]

W = 490 joules

So, the work done on the box is 490 Joules. Hence, this is the required solution.

The net work done on the box weighing 5.0 kg and accelerated from rest by a force across a floor is 490 Nm.

Given the following data:

Initial velocity = 0 m/s (since the box starts from rest).Mass of box = 5 kgAcceleration = 2 [tex]m/s^2[/tex]Time = 7 seconds

To find the net work done on the box:

First of all, we would determine the force acting on the box:

[tex]Force = Mass[/tex] × [tex]acceleration[/tex]

[tex]Force = 5[/tex] × [tex]2[/tex]

Force = 10 Newton

Next, we would use the second equation of motion to determine the distance traveled by the box:

[tex]S = ut+ \frac{1}{2}at^2[/tex]

Where:

S is the displacement or distance traveled.u is the initial velocity.a is the acceleration.t is the time measured in seconds.

Substituting the given parameters into the formula, we have;

[tex]S = 0(7)+ \frac{1}{2}(2)(7^2)\\\\S = 0 + 49[/tex]

Distance, S = 49 meters.

Now, we can determine the net work done on the box:

[tex]Work\; done = Force[/tex] × [tex]distance[/tex]

[tex]Work\; done = 10[/tex] × [tex]49[/tex]

Work done = 490 Nm

Therefore, the net work done on the box is 490 Nm.

Temperature is a measure of how much the atoms in a substance are moving. Why is a substance hotter in the gas state than in the liquid state?

Answers

A substance is hotter in its gas state because the particles have more freedom to move, resulting in higher average kinetic energy and temperature. The transition from liquid to gas involves the absorption of heat, which is converted into kinetic energy of the gas particles.

Temperature is a measure of the average kinetic energy of the particles within a substance, which reflects how much the atoms in a substance are moving. Substances in the gas state are hotter than in the liquid state because the particles in a gas are moving freely at high speeds, colliding with each other and their surroundings. This high-speed, random motion contributes to a higher average kinetic energy and therefore a higher temperature. In contrast, particles in a liquid are closer together and while they can move past each other, they are not as free to move as in a gas.

The transition from liquid to gas requires energy, typically in the form of heat, which further increases the motion of the particles. When a liquid vaporizes to become a gas, it absorbs heat, which then gets converted into the kinetic energy of the gas particles, leading to higher temperatures. This also explains why many chemical reactions proceed faster at higher temperatures, as the increased motion of particles leads to more frequent and energetic collisions, which are necessary for reactions to occur.

A rock held by a person above the floor, but not dropped, is an example of which of newton's laws?

Answers

The velocity is constant in the absence of a net force and  when one object exerts a force on a second object, the second object exerts an equal force in the opposite direction on the first object. Those two sentences will be your answers.

A car travels in straight line for 5.5 h at a constant speed of 59km/h. What is its acceleration?

Answers

"Acceleration" means any change in the speed or direction of motion.
If the car is traveling in a straight line at a constant speed, then there's no change in its speed or direction.  It has no acceleration.

Displacement vs distance

Answers

Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion. Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position
Final answer:

Distance is the length of the path traveled, while displacement is the straight-line distance between the initial and final position, considering both magnitude and direction.

Explanation:

Distance is the length of the path traveled by an object, while displacement is the straight-line distance from the initial to the final position, regardless of the path taken. Displacement includes both magnitude and direction, whereas distance only considers magnitude.

For example, if a person walks 5 meters to the east and then 3 meters to the west, their displacement would be 2 meters to the east, as it considers the overall change in position. However, the total distance traveled would be 8 meters, as it accounts for the entire path traveled.

It is important to note that displacement is a vector quantity, meaning it has both magnitude and direction, while distance is a scalar quantity with only magnitude.

true or false: objects fall toward earth at a rate of 9.8 m/s because of centripetal force.

Answers

Sadly, no. The statement kind of has some appropriate words in it, but it's badly corrupted. Objects don't fall to Earth at a rate of 9.8 m/s, and the force that accelerates them downward is not a centripetal one.
Final answer:

The statement is false; objects fall toward Earth at roughly 9.8 m/s² due to gravity, not centripetal force. Gravity is a force that causes objects to accelerate towards the Earth, while centripetal force relates to circular motion.

Explanation:

The statement that objects fall toward Earth at a rate of 9.8 m/s because of centripetal force is false. Objects in freefall near the Earth's surface accelerate downwards at approximately 9.8 m/s² due to the force of gravity, not centripetal force. Centripetal force is related to the circular motion of an object and is the force that acts on an object moving in a circular path, directed towards the center around which the object is moving.

It is important to note that the acceleration of 9.8 m/s², commonly represented as g, is somewhat an approximation. This value can slightly vary depending on the distance from the center of the Earth and the density of the Earth's crust in different locations. Nonetheless, for most practical purposes, especially in educational environments, g is considered to be a constant value.

Newton's Universal Theory of Gravity explains that this acceleration due to gravity is expected because the force of gravity, and thus the acceleration of an object, is inversely proportional to the square of its distance from the center of the Earth. Objects at or near the Earth's surface, like falling apples, typically experience this acceleration of 9.8 m/s².

A ramp leading to the freeway overpass is 210 feet long and rises 31 feet. what is the measure of the angle formed between the ramp and the freeway?

Answers

When you draw the figure described in the problem, you will see a right triangle where the hypotenuse is the length of the ramp which is 210 feet and the height is 31 feet. To determine the angle formed between the ramp and the freeway, we use a trigonometric function which would be the sine function. We do as follows:

sin (α) = height / hypotenuse
sin (α) = 31 / 210
α = 8.49 degrees

Final answer:

To find the measure of the angle formed between the ramp and the freeway, we can use trigonometry.

Explanation:

To find the measure of the angle formed between the ramp and the freeway, we can use trigonometry. The angle can be found using the inverse tangent function, which relates the length of the side opposite the angle (the rise) to the length of the side adjacent to the angle (the length of the ramp).

We can use the formula:

angle = arctan(rise/run)

In this case, the rise is 31 feet and the run is 210 feet. Plugging these values into the formula, we get:

angle = arctan(31/210)

Using a calculator, we find that the measure of the angle is approximately 8.2 degrees.

What is the quality of the sound of a fire truck’s siren when it moves toward a stationary hearer?

Answers

What is the quality of the sound of a fire truck’s siren when it moves toward a stationary hearer?
Its High Pitched

What is the quality of the sound of a fire truck’s siren when it moves away from a stationary hearer?

Its Low Pitched

Answer:

The pitch increases.

Explanation:

According to the Doppler effect, the apparent frequency of the waves is different when there is relative motion between the source and the observer. When the source and observer approach, the apparent frequency (pitch) increases whereas it decreases when they recede away.

Thus, when a fire truck moves towards a stationary hearer, the pitch of the siren appears to increase.

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