Question

A space probe is traveling in outer space with a momentum that has a magnitude of 5.16 x 107 kg·m/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 1.19 x 106 N and a direction opposite to the probe's motion. It fires for a period of 10.9 s. Determine the momentum of the probe after the retrorocket ceases to fire.

Answer 1

`p_(f)=99x10^6 N*s`

Step-by-step explanation:

When a force is applied to an object over a certain period of time, it is said to apply an impulse to the object. The magnitude of the impulse is given by:

J=F*Δt

When an impulse is provided to an object, the momentum of the object will change, as in:

J=Δp=
`p_(f)-p_(i)`

So given:

Initial momentum

`P_(i)=5.19x10^7 (kg*m)/(s)`

Applied force

`F=2.0x10^6 N`

J=
`p_(f)-p_(i)`

F*Δt=
`p_(f)-p_(i)`

`p_(f)=2.0x10^6N*12s+7.5x10^7 N*s`

`p_(f)=99x10^6 N*s`