A jet engine applies a force of 300 N horizontally to the right against a 50 kg rocket. The force of air friction 200 N. If the rocket is thrust horizontally 2.0 m, what is the kinetic energy gained by the rocket.

Well, let's see. The jet engine is applying a force of 300 N horizontally to the right, but there's also a force of air friction acting against the rocket, which is 200 N. So, the net force acting on the rocket would be 300 N - 200 N = 100 N.

Now, we can calculate the work done on the rocket by this net force. Work (W) is given by the formula W = force × distance. In this case, the force is 100 N and the distance is 2.0 m. So, the work done on the rocket would be 100 N × 2.0 m = 200 J.

The work done on an object is equal to the change in kinetic energy. Since we know the work done, we can say that the kinetic energy gained by the rocket is 200 J.

But remember, this is a rocket we're talking about here! It's ready to blast off into space and fulfill its cosmic destiny. So, if you ask me, the only appropriate thing to say is that the kinetic energy gained by the rocket is "out of this world!" 🚀😄

To find the kinetic energy gained by the rocket, we need to calculate the work done on the rocket.

Step 1: Calculate the net force acting on the rocket.
The net force is the difference between the force applied by the jet engine and the force of air friction.
Net force = Force applied - Force of air friction
Net force = 300 N - 200 N
Net force = 100 N

Step 2: Calculate the work done on the rocket.
Work is calculated using the formula:
Work = Force x Distance
In this case, the force and distance are both horizontal.
Work = Net force x Distance
Work = 100 N x 2.0 m
Work = 200 J (Joules)

Step 3: Calculate the kinetic energy gained by the rocket.
The work done on an object is equal to the change in kinetic energy.
Kinetic energy gained = Work done
Kinetic energy gained = 200 J (Joules)

Therefore, the kinetic energy gained by the rocket is 200 Joules.

To find the kinetic energy gained by the rocket, we need to calculate the work done on the rocket. The work done on an object can be calculated using the formula:

Work = Force * Distance * cosθ

In this case, the force applied by the jet engine is 300 N, and the distance traveled by the rocket is 2.0 m horizontally. The angle θ is not given, but since the force and distance are both horizontal, cosθ will be equal to 1.

So we can calculate the work done on the rocket as follows:

Work = 300 N * 2.0 m * cos(θ) = 600 J

Now, the work done on an object is equal to the change in its kinetic energy. Therefore, the kinetic energy gained by the rocket is 600 Joules.

KE gained=energy initial-frictionloss=300N*2m - 100*2=400 J