Question

if the power of the motor is 40 kw, at what speed can it raise a load of 20,000 N.

Answer 1

Power = 40 kw = 40 * 10³ w
And force = 20 * 10³ N
Now we know that power = force * velocity
So, velocity =  power / force
velocity = 40 * 10³ / 20 * 10³
∴ velocity = 2 m/s

Answer 2

Given,

The motor power = 40kw.

The motor raises a load of 20,000N

To Find,

The speed of the motor to raise a load of 20000N.

Solution,

Given that,

The motor has a power of 40kw.

And the motor needs to hold a load of 20000N.

We need to find out the speed the motor need to have to raise the load.

So,

Power is the product result of the force and the speed.

Power = force × speed.

Power  = 40kw

40000

40000 = 20000 × Speed

Therefore,

speed = $\frac{40000}{20000}$

Speed = 2m/s.

Hence, the motor needs a speed of 2m/s to raise the load of 20,000N.