a body of mass 100g moving with a velocity of 10.0m/s collides with a wall. if after collision, it moves with a velocity of 2.0m/s in the opposite direction. calculate the change in momentum.
step by step process please
Answers
Answer:
When you calculate a change it is always the final value minus the initial value.
eg Bank account now has £100 in it. Yesterday it had £120. The change is final -initial = £100-£120 = -£20.
You do the same with momnentum but you must not ignore direction. If you call approaching the wall the posoitive dirextion:
momentum before = 0.1kg x 10m/s= 1kgm/s
momentum after = 0.1kg X -2.0 m/s = - 0.2kgm/s
Change in momentum = final - initial = -0.2 - 1 = -1.2 kgm/s
Answer:
Change in momentum = 1.2 kg.m/s
Explanation:
➤. Given that:
- Mass of a body = 100 g
- Moving with a velocity = 10.0 m/s
After the collision,
- Velocity = 2.0 m/s
➤ Formula used:
- Momentum = Mass × Velocity
- Change in Momentum = Mass × Change in Velocity
Let us assume that the body moves with the velocity of 10.0 m/s in negative direction.
And after collision it's moving with the velocity of 2.0 m/s in positive direction.
Therefore:
Initial velocity = - 10 m/s
Final velocity = + 2 m/s
➤ Formula to find change in velocity:
- Change in velocity = Final velocity - Initial velocity
★ Finding the change in velocity:
➼ Change in velocity = [2 - (-10)] m/s
➼ Change in velocity = [2 + 10] m/s
➼ Change in velocity = 12 m/s
→ Converting the mass 100 g into kg:
- 1000 g = 1 kg
- 1 g = 0.001 kg
- 100 g = 0.1 kg
★ Finding the change in momentum:
➼ Change in momentum = 0.1 kg × 12 m/s
➼ Change in momentum = 1.2 kg.m/s