Question

There is a 100kg object on a 30-degree incline ramp.
A motor with a string attached to the object accelerates the object at 0.22 m/s^2
The mew of friction is 0.5. What is the power output of the motor?

Answer 1

Question#14583

There is a 100kg object on a 30-degree incline ramp.

A motor with a string attached to the object accelerates the object at 0.22 m/s^2

The mew of friction is 0.5. What is the power output of the motor?

Solution:

Let:

$$m = 100\ \mathrm{kg}$$ $$\alpha = 30{}^\circ$$ $$a = 0.22\ \mathrm{m/s^2}$$ $$\mu = 0.5$$ $$N - ?$$ $$N = \mu F v = \mu F a t$$ $$N = \mu (mg \cos \alpha + m \alpha) a t$$ $$N = 95.78\ \mathrm{W}$$

Answer: 95.78 W