Question

A 500kg space shuttle is being pushed left by 350N of force and right by 100N of force. If the space shuttle was moving left at a speed of 10m/s, what is its new speed after 5s? A) 6 m/s B) 4 m/s C) 2 m/s D) 8 m/s

Answer 1

The new speed of the space shuttle after 5 seconds is 12.5 m/s.

None of the given options is correct

Step-by-step explanation:

To find the new speed of the space shuttle, we need to calculate the net force acting on it and use that to determine the acceleration. The net force is the vector sum of all the forces acting on the shuttle. In this case, the space shuttle is being pushed left with a force of 350N and right with a force of 100N. We can calculate the net force by subtracting the force pushing it to the right from the force pushing it to the left:

Net force = 350N - 100N

Net force = 250N

We can then use Newton's second law of motion, F = ma, to calculate the acceleration:

250N = 500kg * a

a = 0.5 m/s²

Now that we have the acceleration, we can use the kinematic equation v = u + at to find the new speed of the space shuttle after 5 seconds.

The initial velocity (u) is given as 10m/s:

v = 10m/s + (0.5m/s² * 5s)

v = 10m/s + 2.5m/s

v = 12.5m/s

Therefore, the new speed of the space shuttle after 5 seconds is 12.5 m/s.

None of the given options is correct