Physics : asked on johara
 16.07.2021

What is the mass of an object if it is moving at a speed of 10 m/s and has 400 J of kinetic energy?

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24.06.2023, solved by verified expert
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Answers:

8 kg

Explanation:

Kinetic Energy = (mass × velocity × velocity) ÷ 2

We know that Kinetic Energy = 400 J and velocity = 10 m/s.

KE = (m × v × v) ÷ 2

400 J = (m × 10 m/s × 10 m/s) ÷ 2

400 J = m × 50 m^2/s^2

To find the mass you will divide 400 J and 50 m^2/s^2.

m = 8 kg

You can also check it if it gives you 400 J.

KE = (m × v × v) ÷ 2

KE = (8 kg × 10 m/s × 10 m/s) ÷ 2

KE = 400 J

So this means that the mass is 8 kg. I know that it is a bit confusing, but when you do J (joules) ÷ m^2/s^2 = kg (kilograms). Hope this helps, thank you !!

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Physics
Step-by-step answer
P Answered by PhD

Answers:

8 kg

Explanation:

Kinetic Energy = (mass × velocity × velocity) ÷ 2

We know that Kinetic Energy = 400 J and velocity = 10 m/s.

KE = (m × v × v) ÷ 2

400 J = (m × 10 m/s × 10 m/s) ÷ 2

400 J = m × 50 m^2/s^2

To find the mass you will divide 400 J and 50 m^2/s^2.

m = 8 kg

You can also check it if it gives you 400 J.

KE = (m × v × v) ÷ 2

KE = (8 kg × 10 m/s × 10 m/s) ÷ 2

KE = 400 J

So this means that the mass is 8 kg. I know that it is a bit confusing, but when you do J (joules) ÷ m^2/s^2 = kg (kilograms). Hope this helps, thank you !!

Physics
Step-by-step answer
P Answered by PhD

The acceleration necessary to keep the object in uniform circular motion is 43.48 m/s²

From the question given above, the following data were obtained:

Radius (r) = 2.3 mVelocity (v) = 10 m/sAcceleration (a) =?

The acceleration required to keep the object in circula motion can be obtained as follow:

a = v² / r

a = 10² / 2.3

a = 100 / 2.3

a = 43.48 m/s²

Thus, the acceleration required to keep the object in circula motion is 43.48 m/s².

Learn more about centripetal acceleration: link

Physics
Step-by-step answer
P Answered by PhD

The acceleration necessary to keep the object in uniform circular motion is 43.48 m/s²

From the question given above, the following data were obtained:

Radius (r) = 2.3 mVelocity (v) = 10 m/sAcceleration (a) =?

The acceleration required to keep the object in circula motion can be obtained as follow:

a = v² / r

a = 10² / 2.3

a = 100 / 2.3

a = 43.48 m/s²

Thus, the acceleration required to keep the object in circula motion is 43.48 m/s².

Learn more about centripetal acceleration: link

Physics
Step-by-step answer
P Answered by PhD

1: an elevator moving up to the 3rd floor (gathering potential energy)

2: all options here will increase the GPE

3: the last option

4: just before it hits the ground and has reached a speed of 28 meters per second

5: turning a different direction while moving the same speed

6:a jogger getting faster after spotting a mountain lion behind him on the trail

7: I didn’t watch the lesson

8: at the top of the swinging path, when you are still for a moment just before falling again

9: I d+o)n#t k#n0”w

10: same as 9 sor=ry

Physics
Step-by-step answer
P Answered by PhD

1: an elevator moving up to the 3rd floor (gathering potential energy)

2: all options here will increase the GPE

3: the last option

4: just before it hits the ground and has reached a speed of 28 meters per second

5: turning a different direction while moving the same speed

6:a jogger getting faster after spotting a mountain lion behind him on the trail

7: I didn’t watch the lesson

8: at the top of the swinging path, when you are still for a moment just before falling again

9: I d+o)n#t k#n0”w

10: same as 9 sor=ry

Physics
Step-by-step answer
P Answered by PhD

(D) It is moving at a constant speed

Explanation:

Before t = 1s. Due to the force, albeit small, acting on the object, since there's no static friction stopping the object from moving, this mass object would have a constant acceleration and it's velocity would be increasing.

According to Newton's 1st law, an object will stay at a constant speed if the net force acting on it is 0. After t = 1s, horizontally speaking there's no other force exerting on the mass object. There is no friction force at play here as the surface is frictionless.

Therefore the correct statement is (D) It is moving at a constant speed

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