Question

An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

Answer 1

Answer:

Initial velocity of the object (u) = 5 m/s

Final velocity of the object (v) = 8 m/s

Mass of the object (m) = 100 kg

Time take by the object to accelerate (t) = 6 s

Initial momentum = mu = 100 × 5

⇒ mu = 500 kg m/s

Final momentum = mv = 100 × 8

⇒ mv = 800 kg m/s

Let us calculate the Force exerted on the object (F)

F = (mv – mu) / t

F = (800 – 500)/6

F = 300 / 6

F = 50 N

Initial momentum of the object is 500 kg m sˆ1.

Final momentum of the object is 800 kg m sˆ1.

Force exerted on the object is 50 N.

Answer 2

Question :

• An object of mass 100 kg is accelerated uniformly from a velocity of 5 m/s to 8 m/s in 6 s. Calculate the initial and final momentum of the object. Also, find the magnitude of the force exerted on the object.

Answer :

• Initial momentum = 500kg m/s
• Final momentum = 800kg m/s
• Force exerted on object = 50 N

Explanation :

Given :

• Mass of object (m) = 100 kg
• Initial velocity (u) = 5 m/s
• Final velocity (v) = 8 m/s
• Time taken (t) = 6 s

To Find :

• Initial momentum?
• Final momentum?
• Force exerted on the object?

Solution :

Firstly finding initial momentum. We clearly know that it is given by,

• Initial momentum = mu

Putting all values we get,

➡ Initial momentum = 100 × 5

➡ Initial momentum = 500kg m/s

• Hence, initial momentum of object is 500kg m/s.

Now, finding final momentum. We clearly know that it is given by,

• Final momentum = mv

➡ Final momentum = 100 × 8

➡ Final momentum = 800kg m/s

• Hence, final momentum of object is 800kg m/s.

Now, finding force exerted on object. We clearly know that it is given by,

• F = ma

Also, we know that,

• a = (v - u)/t

Therefore,

➡ F = m × (v - u)/t

➡ F = (mv - mu)/t

Putting all values we get,

➡ F = (800 - 500)/6

➡ F = 300/6

➡ F = 50 N

• Hence, force exerted on object is 50 N.

Related Question :

A man throws a ball vertically upwards with a speed of 500m/s. if the mass of the ball is 150g find:

• i. The initial momentum of the body.
• ii. What would be the momentum at the highest point of flight?

Answer :

• brainly.in/question/45366051

▬▬▬▬▬▬▬▬▬▬▬▬