How much impulse is given to a 25 kg train car that is accelerated from rest to 12 m/s in 4 sec?
25 kg * 12 m/s.
The time doesn't matter when calculating the impulse. Impulse equals momentum change.
To calculate the impulse experienced by the train car, we can use the impulse-momentum principle, which states that the change in momentum of an object is equal to the impulse applied to it.
The formula for impulse is given by:
Impulse = Change in momentum
The formula for momentum is:
Momentum = mass × velocity
Given:
Mass of the train car (m) = 25 kg
Initial velocity (u) = 0 m/s (since it starts from rest)
Final velocity (v) = 12 m/s
Time taken (t) = 4 sec
First, let's calculate the change in momentum using the formula:
Change in momentum = Final momentum - Initial momentum
Final momentum = m × v
Initial momentum = m × u
Substituting the given values:
Final momentum = 25 kg × 12 m/s = 300 kg·m/s
Initial momentum = 25 kg × 0 m/s = 0 kg·m/s
Change in momentum = 300 kg·m/s - 0 kg·m/s = 300 kg·m/s
Therefore, the change in momentum (impulse) experienced by the train car is 300 kg·m/s.