Question

In a collision, a 5 kg mass moving at 2m/s transfers all of its momentum to a 1 kg mass. What is the velocity of the 1kg mass after the collision?
Will give brainliest

Answer 1

Answer:
velocity = 10 m/sec in the same direction as the first body did

Explanation:
The momentum of the body can be calculated as follows:
momentum = mass * velocity

For the first body, we have:
mass = 5 kg
velocity = 2 m/sec
momentum = mass * velocity
momentum = 5 * 2 = 10 kg.m/sec

We know that this momentum is transferred completely to the second body

For the second bode, we have:
momentum = 10 Kg.m/sec
mass = 1 kg
momentum = mass * velocity
10 = 1 * velocity 
velocity = 10/1
velocity = 10 m/sec

Finally, we should get the direction of the motion:
Both the velocity of the first and second bodies have positive values. Therefore, the second body is moving in the same direction as the first body did.

Hope this helps :)

Answer 2

Answer:

3.67m/s

Step-by-step explanation:

According to the law of conservation of momentum which States that the sum of momentum of bodies before collision is equal to the sum of momentum of bodies after collision. This bodies moves with a common velocity after collision.

Momentum = mass × velocity

For the 5kg ball with velocity of 2m/s;

Its momentum = 5×2 = 10kgm/s²

For the 1kg body;

It's momentum = 10kgm/s (since the 5kg mass transfers all of its momentum to a 1 kg mass.)

Momentum after collision of the bodies will give;

Momentum = (5kg+1kg)v where v is their common velocity.

Momentum after collision = 6v

Using the law of conservation of momentum;

10+10 = 6v

20 = 6v

v = 20/6

v = 3.67m/s

Since both masses have the same velocity after collision, the velocity of the 1kg mass after the collision will also be 3.67m/s