when a constant force is applied to an object, the acceleration of the object varies inversely with its mass. when a certain constant force acts upon an object with mass 10 kg, the acceleration of the object is 2m/s^2. when the same force acts upon another object, its acceleration is 5 m/s^2. what is the mass of this object

Answers

Answer 1

The mass of the second object is 4 kg. We are given that force F is constant and the acceleration varies inversely with the mass of the object, then Force, F = mass x acceleration Or, acceleration, a = F / m

When a constant force is applied to an object, the acceleration of the object varies inversely with its mass. If a certain constant force acts upon an object with mass 10 kg, the acceleration of the object is 2m/s². The same force acts upon another object, its acceleration is 5 m/s².

Let's assume that the mass of the other object is m kg. So, the given information for the two objects are:

First object with mass of 10 kg, the acceleration a1 = 2 m/s² and force F

Second object with mass m kg, the acceleration a2 = 5 m/s² and force F

Here, we are given that force F is constant and the acceleration varies inversely with the mass of the object.

Force, F = mass x acceleration Or, acceleration, a = F / m

Thus, from the above equation, we can get the relation for the two objects as: F / 10 = 2 or F = 20 N (Force acting on first object)

F / m = 5 or F = 5m N (Force acting on second object)

Now, equating both the values of F, we get: 20 = 5m

Dividing both sides by 5, we get: m = 4 kg

Therefore, the mass of the second object is 4 kg.

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Related Questions

A tram of 800kg takes 6 seconds to stop after travelling at a constant speed of 18m/s. Calculate the deceleration and the force needed to be applied by the brakes to stop the tram.

Answers

Answer:

-3m/s²

2400N

Explanation:

Given parameters:

Mass of tram  = 800kg

Time taken   = 6s

Constant speed  = 18m/s

Unknown:

deceleration  = ?

force on brake = ?

Solution:

Deceleration is the opposite of acceleration. This is the rate of change of velocity with time;

    Deceleration  = [tex]\frac{V - U}{t}[/tex]

V is the final velocity = 0m/s

U is the initial velocity  = 18m/s

t is the time taken

   Deceleration  = [tex]\frac{0-18}{6}[/tex]  = -3m/s²

Force needed to to stop the tram;

        Force  = mass x acceleration

   Insert parameters and solve;

        Force  = 800 x 3  = 2400N

The use of fossil fuels is more than other fuels at present.why...​

Answers

Fossil fuel is the most abundant type of oil in the world. Natural gas is harder to find/extract and so is biofuel.

You need to estimate the floor area of your unusual oval shaped living room from memory you remember that it is longer than wider and is about 6m long . So you take it to b rectangular with a witdth of 0.5 m and multiply width by length to get an estimate of 3m why was your estimate not done correctly

Answers

Answer:

Our estimate not done correctly because the width was unrealistic.

Explanation:

Given that,

Length = 6 m

Width = 0.5 m

We need to calculate the area of rectangular floor

Using formula of area

[tex]A=l\times w[/tex]

Where, l = length

w= width

Put the value into the formula

[tex]A=6\times0.5[/tex]

[tex]A=3\ m^2[/tex]

We need to find why this estimate not done correct

Using given data

We can say that,

We assume width was unrealistic.

The length of room is 6 m.

We know that,

[tex]1\ m=3.28\ feet[/tex]

So, the length would be 20 feet.

The width of room is 0.5 m.

The width of room would be 1.64 feet.

So, the area will be

[tex]A=20\times1.64[/tex]

[tex]A=32.8\ feet^2[/tex]

Hence,  Our estimate not done correctly because the width was unrealistic.

What is the kinetic energy of a 0.50 kg ball traveling at a speed of 120 m/s?

Answers

Answer:

The answer is 3600 J

Explanation:

The kinetic energy (KE) of an object given it's mass and velocity can be found by using the formula

[tex]KE = \frac{1}{2} m {v}^{2} \\ [/tex]

where

m is the mass of the object

v is the velocity

From the question

m = 0.5 kg

v = 120 m/s

So we have

[tex]KE = \frac{1}{2} \times 0.5 \times {120}^{2} \\ = \frac{1}{4} \times 14400[/tex]

We have the final answer as

3600 J

Hope this helps you

A substance with no definite volume and no definite shape is classified as a —

Answers

Gas is the substance with neither definite volume nor shape.

Carmen is helping load furniture and boxes onto a moving truck. She picks up boxes of her things, places them on a cart, and pushes the cart to the moving van. Which term best describes the type of force Carmen uses?
A. contact
B. friction
C. gravity
D. noncontact

Answers

Answer:

B because of the friction from the wheels

B . because the friction of the wheels .

find the displacement shown in the graph. Give your answer to 3 significant figures.
What is the acceleration between 0 and 3 seconds?

Answers

no clue
i have to answer someone to ask a q sorry

A celestial body orbits the Sun. It consists of rock and ice. As it passes close to the Sun, the body forms a long tail of dust. Which body best matches this description?

Answers

Answer: A Comet

Explanation: A comet is a small icy body that when passing close to the sun, heats up in releases gases, producing invisible tail.

A car starts from rest and accelerates uniformly at 6.6 m/s2 for 10.s. How far does the car travel?

Answers

Explanation:

s = ut + 1/2at²

= 0(10) + 1/2×6.6×(10)²

= 3.3 × 100

= 330 m

what does it mean by the fact that the acceleration of a car is 5m/s square??​

Answers

Answer:

An acceleration of 5m/s^2 means that the velocity of a body is increasing by 5m/s per second in a certain direction

Explanation:

Calculate the increase in the gravitational potential
energy store of a car lifted 2.5m off the floor. The
mass of the car is 950 kg.
Gravitational field strength is 9.8 N/kg.

Answers

gpe= 950 * 9.8 * 2.5 = 232750 Joules

Which type of atom has the same number of protons and electrons

Answers

The answer is hydrogen

Why is pascal called a derived unit​

Answers

It is a derived unit and not a base unit. Base units are: Kg, m, s, A, mol, all other units are derived and can be described in terms of the base units.

Two research groups getting together and sharing thoughts, ideas, and research results is known as ...
a) modeling
b) risk taking
c) observation
d) collaboration

Answers

Answer:

D

Explanation: collaboration

D, collaboration

thats wut i think

Spaceship 1 and Spaceship 2 have equal masses of 300 kg. Spaceship 1 has
a speed of 0 m/s, and Spaceship 2 has a speed of 6 m/s. What is the
magnitude of their combinied momentum?
A. 1,200 kg-m/s
B. 18 kg-m/s
C. 1,800 kg-m/s
D. 3,600 kg-m/s
PLEASE HELP FAST

Answers

Answer:

C, 1800kg/s

Explanation:

You multiply the mass (300) by the change in the two velocities (6-0=0). Then you’ll get 1800.. sorry if I’m wrong

What is the white part of each water molecule and what are the red parts of the water molecules?

Answers

Answer:

hydrogen are the white parts and the red parts are oxygen

one part Hydrogen, two parts oxygen (H2O)

Hydrogen atom is  the white part  and the red parts are oxygen atoms of water molecule - one part Hydrogen, two parts oxygen (H₂O) in water molecule.

What is the water (H₂O) molecule?

Each H₂O molecule is V-shaped and is made up of one oxygen atom and two hydrogen atoms.  Hydrogen bonds allow adjacent H₂O molecules to temporarily connect with one another (depicted as blue and white ovals).

Individual H₂O molecules are held together by powerful bonds between the hydrogen (white) and oxygen (red) atoms. When two atoms—in this case, oxygen and hydrogen—share electrons, a covalent link is created. Each end of the V-shaped H₂O molecule adopts a slightly different charge because oxygen and hydrogen draw the shared electrons from each other in different ways. In contrast to the opposite, hydrogen-containing end of the molecule, which is somewhat positive, the region around the oxygen is relatively negative.

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What is the relationship between a revolution and an orbit?

Answers

"Rotation" refers to an object's spinning motion about its own axis. "Revolution" refers the object's orbital motion around another object. For example, Earth rotates on its own axis, producing the 24-hour day. Earth revolves about the Sun, producing the 365-day year.
Both are in motion, however the Earth rotates on its axis while it Revolves around the Sun.

During WWI, the Germans had a gun called Big Bertha that was used to shell Paris. The shell had an initial speed of 1700 m/s, and was shot with an inclination of 55 degrees. In order to hit the target, adjustments were made for air resistance. Ignoring frictional effects, calculate the following:

a.The Horizontal and Vertical Velocities

b.How far away did the shell hit?

c. How long was the shell in the air?

Answers

Answer:

[tex]975.1\ \text{m/s}[/tex] and [tex]1392.56\ \text{m/s}[/tex]

[tex]276830.96\ \text{m}[/tex]

284 seconds

Explanation:

(a) [tex]u=\text{Initial velocity}=1700\ \text{m/s}[/tex]

[tex]\theta[/tex] = Angle of inclination = [tex]55^{\circ}[/tex]

Horizontal velocity is given by

[tex]u_x=u\cos\theta\\\Rightarrow u_x=1700\times \cos55^{\circ}\\\Rightarrow u_x=975.1\ \text{m/s}[/tex]

Vertical velocity is given by

[tex]u_y=u\sin\theta\\\Rightarrow u_x=1700\times \sin55^{\circ}\\\Rightarrow u_x=1392.56\ \text{m/s}[/tex]

The horizontal and vertical velocities are [tex]975.1\ \text{m/s}[/tex] and [tex]1392.56\ \text{m/s}[/tex] respectively.

(b) Range of projectile is given by

[tex]R=\dfrac{u^2\sin2\theta}{g}\\\Rightarrow R=\dfrac{1700^2\sin(2\times 55^{\circ})}{9.81}\\\Rightarrow R=276830.96\ \text{m}[/tex]

The shell hit the ground [tex]276830.96\ \text{m}[/tex] from the launch position.

(c) Time of flight is given by

[tex]t=\dfrac{2u\sin\theta}{g}\\\Rightarrow t=\dfrac{2\times 1700\times \sin55^{\circ}}{9.81}\\\Rightarrow t=284\ \text{s}[/tex]

The shell was in the air for 284 seconds.

which is heavier , 1kg of steel or i kg of cork​

Answers

Answer:

Same weight so neither is heavier

Since their masses are equal, their weights are equal whenever they're both on the same planet.

A driver traveling at 100\,\dfrac{\text{km}}{\text{h}}100 h km ​ 100, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction notices the speed limit changes to 50\,\dfrac{\text{km}}{\text{h}}50 h km ​ 50, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction. The driver takes 0.9\,\text{s}0.9s0, point, 9, start text, s, end text to slow down to 50\,\dfrac{\text{km}}{\text{h}}50 h km ​ 50, start fraction, start text, k, m, end text, divided by, start text, h, end text, end fraction with constant acceleration. We want to know how many meters the driver travels while slowing down.

Answers

Answer:

67.5

Explanation:

d = (Vo+ v/2)t

d = (150/2)(0.9)

d = 67.5

PLEASE ASAP

Giving a brainlist

Answers

ANSWER

constant motion

Answer:

Stationary

Explanation:

This is a position-time graph, meaning it shows an object's position over time. If the line is flat, it means that the object has not changed position during that time period, therefore it is stationary between the points g and h.

Hope this helped!

why does the fast working machine posses more power?

Answers

Answer:

A chemical reaction increase in speed with the increase of temperature.. so.. fast working machine posses more power

A cheetah runs at 93km/he to the east. This describes the cheetah’s
A.) Displacement
B.) Instantaneous Speed
C.) Average Speed
D.) Average Velocity

Answers

The answer is average speed

explain the coin (guinea) and father experiment​

Answers

Answer:

A vacuum was created in a glass tube by means of a pump. A feather and a gold coin (a guinea) placed inside the tube were dropped at the same time. The two bodies, despite their very different weights, reached the base of the tube together.

Explanation:

Which theory do scientists believe MOST LIKELY explains the creation of the universe?
A) Big Bang Theory
B) Radiation Theory
C) Red Shift Theory
Eliminate
D) Butterfly Effect Theory


Hundreds of years ago, it was believed by many that our solar system was Geocentric. This means that Earth is at the center of the solar system, with the Sun and other planets orbit around it. Today, the solar system is now thought to be Heliocentric.

What does this mean?
A) The Sun and other planets orbit Earth.
B) Earth and all the other planets orbit the Sun.
C) The other planets orbit Earth, and Earth orbits the Sun.
D) The Sun orbits Earth and the other planets orbit the Sun.

Answers

Answer:

1st one is: A

2nd one is: B

2. One cubic centimeter (cm3) is the same volume as one...

Answers

one milliliter
hope this helps!!!!

A baseball dropped from the roof of a tall building takes 4.1 seconds to hit the ground. How tall is the building?

Answers

Answer:

It is about 78

Mali loves to make herself dizay. She spins around in place 7 times before falling down right where she
was stand. Find har distance and displacement.

Answers

If she is spinning on the spot she is not travelling anywhere so her distance and displacement are zero...

If she is spinning on the spot she is not travelling anywhere so her distance and displacement are zero.

What is Distance and Displacement?

Physics words like distance and displacement are crucial to understand right because they are frequently misunderstood.

Displacement, a vector quantity, is the shortest path in a straight line between the starting position and the final position. Distance is a scalar quantity, measuring the total distance traveled by an object.

A vector quantity is different from a scalar quantity in that a vector quantity has directional information while a scalar quantity is just a set of integers. A variable with "half-arrows" above it is a vector quantity.

Therefore, If she is spinning on the spot she is not travelling anywhere so her distance and displacement are zero.

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1. Which mathematical representation correctly identifies impulse?
A. implulse= force/time
B. impulse= force * time
C. impulse= acceleration * time
D. impulse= velocity/time

2. In a closed system, a ball with a mass of 3 kg and a momentum of 24 kg·m/s collides into a ball with a mass of 1 kg that is originally at rest. Which statement describes the momentum of the balls and the total momentum?
A. The momentum of each ball changes, and the total momentum stays the same.
B. The momentum of each ball changes, and the total momentum changes.
C. The momentum of each ball stays the same, and the total momentum stays the same.
D. The momentum of each ball stays the same, and the total momentum changes.

3. In a closed system, three objects have the following momentums: 110 kg⋅m/s, −65 kg⋅m/s, and −100 kg⋅m/s. The objects collide and move together. What is the total momentum after the collision?
A. -55 kg*m/s
B. -275 kg*m/s
C. 275 kg*m/s
D. 55 kg*m/s

4. In a closed system, an object with a mass of 1.5 kg collides with a second object. The two objects then move together at a velocity of 50 m/s. The total momentum of the system is 250 kg⋅m/s. What is the mass of the second object?
A. 3.0 kg
B. 3.5 kg
C. 5.0 kg
D. 1.5 kg

5. A cue stick has a mass of 0.5 kg. The cue stick hits a ball with a mass of 0.2 kg at a velocity of 2.5 m/s. What is the velocity of the ball after it is hit?
A. 2.5 m/s
B. 8.3 m/s
C. 6.3 m/s
D. 3.6 m/s

Answers

Answer:

1. B. Impulse = Force × Time

2. A. The momentum of each ball changes, and the total momentum stays the same

3. -55 kg·m/s

4. B. 3.5 kg

5. C. 6.3 m/s

Explanation:

1. The impulse is the momentum change of an object due to a force applied for a given period

2. Given that the objects collide, and the force of the 3 kg mass moving with 24 kg·m/s acts on the 1 kg mass while the total momentum is conserved;

The stationary ball of mass 1 kg begins to moves at certain velocity after collision and therefore changes momentum, while the velocity of the ball of mass 3.0 kg reduces and the total combined momentum of the two balls in the closed system remains the same

3. By the principle of conservation of linear momentum, we have;

The sum of the momentum before the collision = The sum of the momentum after collision

Given that the objects move together after the collision, the total momentum is therefore;

Total momentum = 110 kg·m/s + -65 kg·m/s + -100 kg·m/s = 110 kg·m/s - 65 kg·m/s - 100 kg·m/s  = -55kg·m/s

4. Given that the final velocity of the two objects (m₁ + m₂) combined = 50 m/s

Where;

m₁ = The mass of the first object

m₂ = The mass of the second object

The total momentum of the system = 250 kg·m/s

From momentum = Mass × Velocity, we have;

Mass = Momentum/Velocity = 250 kg·m/s/(50 m/s) = 5.0 kg

The mass (m₁ + m₂) = 5.0 kg

Given that m₁ = 1.5 kg, we have;

m₂ = 5.0 kg - m₁ = 5.0 kg - 1.5 kg = 3.5 kg

The mass of the second object = 3.5 kg

5. The mass of the cue stick = 0.5 kg

The velocity of the cue stick = 2.5 m/s

The mass of the ball = 0.2 kg

The initial velocity of the ball = 0 m/s

Given that total initial momentum = Total final momentum, we have;

0.5 kg × 2.5 m/s + 0.2 kg × 0 = 0.2 kg × v + 0.5 kg × 0

0.5 kg × 2.5 m/s = 0.2 kg × v

v = (0.5 kg × 2.5 m/s)/(0.2 kg) = 6.25  m/s ≈ 6.3 m/s

a car goes from 4.47 m/s to 17.9 m/s in 3 seconds. calculate the acceleration of the car

Answers

Answer:

4.48 m/s²

Explanation:

Acceleration is change in velocity over time.

a = Δv / Δt

a = (17.9 m/s − 4.47 m/s) / 3 s

a = 4.48 m/s²

Answer:

[tex]\boxed {\tt a \approx4.48 \ m/s^2}[/tex]

Explanation:

Acceleration can be found by dividing the change in velocity over the time.

[tex]a=\frac{\Delta v}{t}[/tex]

The change in velocity can be found by subtracting the final velocity by the initial velocity.

[tex]\Delta v= final \ velocity - initial \ velocity[/tex]

The final velocity is 17.9 meters per second.

The initial velocity is 4.47 meters per second.

[tex]\Delta v=17.9 \ m/s-4.47 \ m/s[/tex]

[tex]\Delta v=13.43 \ m/s[/tex]

The change in velocity is 13.43 meters per second and the time is 3 seconds.

[tex]a=\frac{13.43 \ m/s}{3 \ s}[/tex]

Divide.

[tex]a=4.47666667 \ m/s^2[/tex]

[tex]a \approx4.48 \ m/s^2[/tex]

The acceleration is about 4.48 meters per seconds squared.

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