Question

A 500 kg rocket sled is coasting in reverse at 10 m/s (to the left). It then turns on its rocket engines for 10.0 s, with a thrust of 1500 N (to the right). What is its final velocity? (Remember velocity has magnitude and direction)

Answer 1

To find the final velocity of the rocket sled, calculate the initial momentum, the change in momentum due to the thrust force, and apply the principle of conservation of momentum.

Step-by-step explanation:

To find the final velocity of the rocket sled, we need to consider the initial velocity, the thrust force, and the time the engines are turned on.

1. First, calculate the initial momentum of the sled:
   Initial momentum = mass * initial velocity
   Initial momentum = 500 kg * (-10 m/s) = -5000 kg·m/s
2. Next, calculate the change in momentum due to the thrust force:
   Change in momentum = thrust force * time
   Change in momentum = 1500 N * 10.0 s = 15000 N·s
3. Finally, calculate the final velocity using the principle of conservation of momentum:
   Final momentum = initial momentum + change in momentum
   Final momentum = -5000 kg·m/s + 15000 N·s = 10000 kg·m/s
   Final velocity = final momentum / mass
   Final velocity = 10000 kg·m/s / 500 kg = 20 m/s (to the right)

Therefore, the final velocity of the rocket sled is

20 m/s

to the right.

Answer 2

Step-by-step explanation:

F = ma

`a = (f)/(m)`

`a = (1500)/(500) = 3`

`a = (v2 - v1)/(t)`

`3 = (v2 - 10)/(10)`

v2 (final) = 40 m/s to the right direction