Question

Which has the greater change in momentum, a 50 gram clay ball that strikes a wall at 1 m/s and sticks or a 50 gram superball that strikes a wall at 1 m/s and bounces away from the wall at 0.8 m/s

Answer 1

Answer:

The super ball has a greater change in momentum.

Explanation:

50 g = 0.05 kg

The change in momentum of the clay ball going at 1m/s then stick (0m/s)

$\DeltaP_C = m_c v - 0 = 0.05*1 = 0.05 kgm/s$

As the superball change its velocity from 1m/s to -0.8m/s in opposite direction, its change in momentum would be

$\DeltaP_S = m_s(1 - (-0.8)) = 0.05*1.8 = 0.09 kgm/s$

Since 0.09 > 0.05, the super ball has a greater change in momentum.

Answer 2

Momentum is the product of mass and velocity. The change in the momentum of the superball is greater than that of the clay ball.

The momentum change for the clay ball,

$Pc = m_c v$

Where,

$m_c$ = mass of clay ball = 50 g = 0.05 kg

$v$- velocity of clay ball = 1 m/s

So,

$Pc = 0.05 \times 1 \\\\Pc = 0.05 \rm \ kgm/s$

The momentum change for the clay ball,

$Ps = 0.05 (-0.8 ) \\\\Ps = 0.09 \rm \ kgm/s$

Therefore, the change in the momentum of the superball is greater than that of the clay ball.

To know more about momentum,

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