Work Power
1. Problem 10: Calculate the work done to slide a box up an inclined plane.
Given data:
- Force applied along the ramp: $F = 25$ N
- Distance along the ramp (hypotenuse): $d = 20$ m
Work done $W$ is calculated by the formula:
$$W = F \times d$$
Calculating:
$$W = 25 \times 20 = 500$$ Joules
2. Problem 11: Calculate the power required to lift a weight vertically.
Given data:
- Force to lift (weight): $F = 30.0$ N
- Vertical height: $h = 10.0$ m
- Time: $t = 5.00$ s
Work done to lift the weight is:
$$W = F \times h = 30.0 \times 10.0 = 300$$ Joules
Power $P$ is the rate of doing work:
$$P = \frac{W}{t} = \frac{300}{5.00} = 60$$ Watts
Final answers:
- Work to slide the box up the ramp: 500 Joules
- Power to lift the weight: 60 Watts