a 50 kg object moving at 12 m/s has a momentum of 600 kg times g m/s . what is the mass of an object moving at 4 m/s that has the same momentum?
m (4 m/s) = 600 kg m/s
m = 150 kg
is this the answer that Damon put?
Thank you!
To find the mass of an object moving at 4 m/s but with the same momentum as the 50 kg object moving at 12 m/s, we will use the formula for momentum:
Momentum (p) = mass (m) × velocity (v)
Given that the momentum of the 50 kg object moving at 12 m/s is 600 kg·g m/s, we can rearrange the formula to solve for mass:
mass (m) = momentum (p) / velocity (v)
Substituting the given values:
mass (m) = 600 kg·g m/s / 12 m/s
Now, we need to convert units to ensure consistency. The unit of gravity (g) is in meters per second squared (m/s^2), while the unit of momentum (p) is in kilogram times gravity (kg·g m/s). To convert kg·g to kg, we divide by g:
mass (m) = 600 kg·g m/s / 12 m/s / g
Since g is cancels out:
mass (m) = 600 kg / 12
mass (m) = 50 kg
Therefore, the mass of an object moving at 4 m/s with the same momentum as the 50 kg object moving at 12 m/s is 50 kg.