Question

5.Imagine you are ice skating with your BFF. Both of you at rest, when you shove him/her away from you. You have a mass of 65 kg and he/she has a mass of 55kg. When you shove off, you move away with a velocity of 2.0 m/s. With what velocity does your BFF move away from you

Answer 1

v2 = 2.36m/s

Step-by-step explanation:

This problem involves the concept of conservation of momentum. The principle states that total momentum before must equal the total momentum after.

Initially total momentu was zero because both were at rest.

Let m1 and m2 represent the masses 65kg and 55kg and let v1 = -2.0m/s and let v1 = velocity of bff

0 = m1v1 + m2v2

0 = 65×(-2.0) + 55v2

55v2 = 65×2

v2 = 65×2/55 = 130/55 = 2.36m/s

v2 = 2.36m/s

Answer 2

v2 = 2.36 m/s

Step-by-step explanation:

Momentum is simply the the product of mass of an object and it velocity. Generally, when object moves they have momentum . The unit for momentum is kgm/s.

During collision momentum is conserved . This means that

initial momentum = final momentum

If their is an equal and opposite reaction your momentum should be equal to your BFF.

m1 v1 = m2 v2

m1 = 65 kg

v1 = 2.0 m/s

m2 = 55 kg

v2 = ?

m1 v1 = m2 v2

65 × 2 = 55v2

130 = 55 v2

divide both sides by 55

v2 = 130/55

v2 = 2.36363636364

v2 = 2.36 m/s