Final answer:
A 5 kg object would need to travel at a velocity of 10 m/s to have the same momentum as a 50 kg object traveling at 1 m/s, using the momentum equation p = m × v.
Step-by-step explanation:
The question involves determining the velocity required for a 5 kg object to have the same momentum as a 50 kg object traveling at 1 m/s. Momentum is given by the product of mass and velocity, which is a fundamental concept in physics.
To find the answer, we use the equation for momentum, which is:
p = m × v
For the 50 kg object traveling at 1 m/s, the momentum is:
p50kg = 50 kg × 1 m/s = 50 kg·m/s
The 5 kg object needs to have the same momentum, so:
p5kg = m × v
50 kg·m/s = 5 kg × v
To find the velocity (v), we rearrange the equation:
v = p5kg / m
v = 50 kg·m/s / 5 kg
v = 10 m/s
Therefore, a 5 kg object would need to travel at a velocity of 10 m/s to have the same momentum as a 50 kg object traveling at 1 m/s.