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:<br />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:<br />### **Power = Work / Time**<br />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 \(500 N \times 3 m = 1500 J\). The time taken is 5 seconds. Substituting these values into the power formula gives:<br />### **Power = 1500 J / 5 s = 300 W**<br /><br />## Step 2:<br />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:<br />### **Power = Work / Time**<br />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 \(300 N \times 0.05 m = 15 J\). The time taken is 34 seconds. Substituting these values into the power formula gives:<br />### **Power = 15 J / 34 s = 0.44 W**