A space probe is traveling in outer space with a momentum that has a magnitude of 4.99 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 1.87 x 106 N and a direction opposite to the probe's motion. It fires for a period of 11.1 s. Determine the momentum of the probe after the retrorocket ceases to fire.

Not sure what I am doing wrong. Here is my work:

4.99*10^-7 => Implusion
1.87*10^6 => Average Force
11.1 => Time

((4.99x10^(-7))/(1.87x10^(6))(11.1)) = 0.000000000002961979

But this is not the answer. Please help!

change in momentum = Force * time = impulse = -1.87*11.1*10^6 = -2.08*10^7

4.99*10^7 - 2.08*10^7 = 2.91*10^7 kg m/s

Thank you so much!

To find the change in momentum of the probe after the retrorocket ceases to fire, you need to use the formula for impulse. The impulse experienced by an object is equal to the change in momentum.

The formula for impulse is given as:
Impulse = Average Force * Time

First, let's calculate the impulse experienced by the probe:
Impulse = (1.87 x 10^6 N) * (11.1 s)
Impulse = 2.0717 x 10^7 N·s

Now, since impulse is equal to the change in momentum, you can write the equation as:
Impulse = Change in Momentum

So,
Change in Momentum = Impulse
Change in Momentum = 2.0717 x 10^7 N·s

Hence, the momentum of the probe after the retrorocket ceases to fire is 2.0717 x 10^7 kg·m/s.

To find the momentum of the probe after the retrorocket ceases to fire, we need to use the impulse-momentum principle. The impulse is equal to the change in momentum of the object it acts upon.

First, let's calculate the impulse applied by the retrorocket. The impulse is defined as the product of force and time:

Impulse = Force x Time

Plugging in the given values:
Impulse = (1.87 x 10^6 N) x (11.1s)
Impulse = 2.0767 x 10^7 Ns

Since impulse is the change in momentum, we can set this equal to the change in momentum of the probe:

Change in momentum = 2.0767 x 10^7 Ns

Now, to find the final momentum of the probe, we add the change in momentum to the initial momentum:

Final Momentum = Initial Momentum + Change in Momentum

Given that the magnitude of the initial momentum is 4.99 x 10^7 kg·m/s, and assuming that the momentum is conserved in this scenario (no external forces acting), the final momentum can be calculated as follows:

Final Momentum = (4.99 x 10^7 kg·m/s) + (2.0767 x 10^7 Ns)

Calculating this:

Final Momentum = 7.0667 x 10^7 kg·m/s

So, the momentum of the probe after the retrorocket ceases to fire is 7.0667 x 10^7 kg·m/s.