Question

A 0.10-kilogram model rocket's engine is designed to deliver an impulse of 6.0 newton-seconds. If the rocket engine burns for 0.75 second, what average force does it produce?

Answer 1

To calculate the average force produced by the model rocket's engine, divide the given impulse (6.0 Ns) by the burn time (0.75 s), resulting in an average force of 8.0 Newtons.

Step-by-step explanation:

The question asks about calculating the average force produced by a model rocket's engine from a given impulse and time period.

Using the impulse-momentum theorem, which states that impulse equals the change in momentum, or equivalently, that impulse is the product of the average force and the time over which it acts (Impulse = Force x Time), we can solve for the average force.

To find the average force, F, we use the given impulse, I, and the time, t:

Impulse (I) = 6.0 Ns (newton-seconds)

Time (t) = 0.75 s (seconds)

Using the formula I = F x t, rearrange it to solve for F:

F = I / t

Thus, the average force produced by the rocket engine is:

F = 6.0 Ns / 0.75 s

= 8.0 N

Therefore, the rocket engine produces an average force of 8.0 Newtons.