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?

Question

Physics

Magdalena Hampton

10 September, 11:36

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?

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Answers (1)

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Nana · Answer 1

8.0 N

Explanation:

Force: This can be defined as the mass of a body and its acceleration. The S. I unit of Force is Newton (N).

Mathematically, Fore is expressed as

F = ma ... equation 1

Where F = force, m = mass, a = acceleration.

and

I = mΔv

Δv = I/m ... Equation 2

Where I = impulse, m = mass, Δv = change in velocity

Given: I = 6.0 Newton-seconds, m = 0.1 kilogram.

Substituting into equation 2

Δv = 6.0/0.1

Δv = 60 m/s.

But

a = Δv/t

where t = time = 0.75 seconds.

a = 60/0.75

a = 80 m/s²

Substitute the values of a and m into equation 1.

F = 0.1 (80)

F = 8.0 N.

Thus the average force produced = 8.0 N