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18 votes
18 votes
Which has the most momentum?

C: Both have the same momentum

B: A 100 g object at 1 m/s

D: Neither has any momentum.

A: A 1 g object at 100 m/s

User Carl Groner
by
2.9k points

1 Answer

14 votes
14 votes

Answer:

Both objects have the same magnitude of momentum.

Step-by-step explanation:

If an object of mass
m is moving at a velocity of
v, the momentum of that object would be
m\, v.

The
100\; {\rm g} (
0.1\; {\rm kg}) object is moving at a speed of
1\; {\rm m\cdot s^(-1)}. The magnitude of the momentum of this object would be
0.1\; {\rm kg} * 1\; {\rm m\cdot s^(-1)} = 0.1\; {\rm kg \cdot m \cdot s^(-1)}.

Similarly, the momentum of the
1\; {\rm g} (
10^(-3)\; {\rm kg}) object moving at a speed of
100\; {\rm m\cdot s^(-1)} would be
10^(-3)\; {\rm kg} * 100\; {\rm m\cdot s^(-1)} = 0.1\; {\rm kg \cdot m \cdot s^(-1)}.

Hence, the magnitude of momentum is the same for the two objects.

User Mark Stephens
by
2.9k points