Question

3. On a smooth surface, a soft 100-grams ball A at the velocity of 10 meters per
second collides elastically with another 200-grams ball B with velocity 5 meters per
second. The velocities of the two balls are in the same direction. After collision, balls
A and B keep moving in the same direction at velocities v1 and v2 respectively. What
are the velocities v1 and v2?

Answering this question would be of great help

Answer 1

Answer:

Explanation:Explanation:

There may be a simpler way to solve this, but here's what I came up with:

Momentum is conserved in all collisions. In an inelastic collision, momentum is conserved as always, but energy is not; part of the kinetic energy is transformed into some other form of energy. Therefore, we have an inelastic collision.

→ p = m→v

The equation for momentum.

We can use momentum conversation and kinetic energy to find the final velocities of the balls.

Momentum conservation:

Δ → P = 0

⇒→ p f = → p i

For multiple objects, we use superposition as with forces:

→ P = → p t o t = ∑ → p = → p 1 + → p 2 + ... + → pn

So we have:

⇒ m 1 v 1 i + m 2 v 2 i = m 1 v 1 f + m 2 v 2 f