Answer:
Step-by-step explanation:
a)
Let m be the mass of the first cart
Let v be the initial speed of the first cart.
Since the carts have the same mass and speed, then
the mass of the second cart is m
the initial speed of the second cart is v
Momentum = mass × volume
Therefore,
Momentum of the first cart before collision is mv
Momentum of the first car before collision is mv
Total momentum before collision is
mv + mv = 2mv
Let v1 be the combined volume after they stuck together. Momentum after collision is (m + m)V = 2mv1
From the law of conservation of momentum, momentum before collision = momentum after collision.
Therefore,
2mv = 2mv1
b) kinetic energy = 1/2mv²
Total Kinetic energy before collision = 1/2 × mv² + 1/2 × mv²
= mv²
Total kinetic energy after collision
= 1/2 × 2 × m × V1²
= mV1²
c)
A different colliding system would involve two carts moving in opposite direction.