a 2.72 g arrow is fired with a velocity of 87.3 m/s from a bow with a mass of 2.45 kg. find the impulse on the arrow?
A. 2.37 Ns
B. 214 Ns
C. 3.11 Ns
D. 113 Ns
To find the impulse on the arrow, we can use the formula:
Impulse = change in momentum
Momentum is given by the formula:
Momentum = mass x velocity
Given:
Mass of the arrow (m) = 2.72 g = 0.00272 kg
Velocity of the arrow (v) = 87.3 m/s
First, we need to calculate the momentum of the arrow. Using the momentum formula:
Momentum = mass x velocity
Momentum = 0.00272 kg x 87.3 m/s
Now, we have the momentum of the arrow. To calculate the impulse, we need to find the change in momentum. Since there is no information given about any change in momentum, we can assume that the arrow had no initial momentum. Therefore, the change in momentum is equal to the momentum of the arrow.
Impulse = change in momentum = momentum of the arrow
Now, we can substitute the calculated value of momentum into the impulse formula:
Impulse = 0.00272 kg x 87.3 m/s
Calculating this expression gives us the impulse on the arrow in kg·m/s (or N·s):
Impulse = 0.00237 Ns
Therefore, the impulse on the arrow is approximately 0.00237 Ns.
The correct answer from the given options is A. 2.37 Ns.