9. How much power does a person weighing 500 N need to climb a 3-m ladder in 5 seconds? 10.How much power is needed to hammer in a nail when you apply 300 N of force and the nail moves a distance of 5 cm?(The hammer is nailed in 34 seconds)

## Step 1:For question 9, we need to calculate the power required for a person weighing 500 N to climb a 3-m ladder in 5 seconds. The formula for power is given by:### **Power = Work / Time**The work done is the product of the force and the distance, which is the weight of the person and the height of the ladder. Therefore, the work done is . The time taken is 5 seconds. Substituting these values into the power formula gives:### **Power = 1500 J / 5 s = 300 W**## Step 2:For question 10, we need to calculate the power required to hammer in a nail when a force of 300 N is applied and the nail moves a distance of 5 cm in 34 seconds. The formula for power is given by:### **Power = Work / Time**The work done is the product of the force and the distance, which is the force applied and the distance the nail moves. Therefore, the work done is . The time taken is 34 seconds. Substituting these values into the power formula gives:### **Power = 15 J / 34 s = 0.44 W**