Question

Car #1 has a mass of 1000 kg and moves with a velocity of 10 m/s north.

Car #2 has a mass of 500 kg and moves with a velocity of 10 m/s north.
Compare and contrast Car #1 and Car #2.
A.
Car #1 has 2-times the momentum as Car #2
В.
Car #1 has 4-times the momentum as Car #2
Car #2 has 2-times the momentum as Car #1
D.
Car #2 has 4-times the momentum as Car #1

Answer 1

A. Car #1 has 2-times the momentum as Car #2

Step-by-step explanation:

Momentum is defined as the product of mass and velocity:

`P = mv`

where,

P = Momentum

m = mass

v = velocity

FOR CAR # 1:

m = 1000 kg

v = 10 m/s

Threfore,

`P_1 = (1000\ kg)(10\ m/s)\\P_1 = 10000\ N.s`

FOR CAR # 2:

m = 500 kg

v = 10 m/s

Threfore,

`P_2 = (500\ kg)(10\ m/s)\\P_2 = 5000\ N.s`

Dividing both momentums:

`(P_1)/(P_2) = (10000\ N.s)/(5000\ N.s)\\\\P_1 = 2P_2`

Therefore, the correct option is:

A. Car #1 has 2-times the momentum as Car #2