An object has a mass of 32g and is moving at a velocity of 2m/s. What is its momentum?A34 m/sB64 g-m/sC30 mphD64 m/s
Question
An object has a mass of 32g and is moving at a velocity of 2m/s. What is its momentum?
A. 34 m/s
B. 64 g-m/s
C. 30 mph
D. 64 m/s
Solution
The momentum of an object can be calculated using the formula:
Momentum = mass x velocity
Given in the problem, the mass (m) is 32g and the velocity (v) is 2m/s.
However, in physics, the standard unit of mass is kilogram (kg). So we need to convert grams to kilograms. We know that 1g = 0.001kg.
So, the mass in kg is 32g x 0.001 = 0.032kg.
Now, we can substitute the values into the formula:
Momentum = 0.032kg x 2m/s = 0.064 kg-m/s.
So, the momentum of the object is 0.064 kg-m/s.
However, the options are given in g-m/s, not kg-m/s. To convert kg-m/s to g-m/s, we know that 1 kg = 1000g.
So, the momentum in g-m/s is 0.064 kg-m/s x 1000 = 64 g-m/s.
Therefore, the correct answer is B64 g-m/s.
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