Question

A winch designed to be mounted on a truck, as shown in Figure 10-7, is advertised as being able to exert a 6.8X103-N force and to develop a power of 0.30 kW. How long would it take the truck and the winch to pull an object 15 m?

Answer 1

The truck and winch would take approximately 340 seconds to pull the object 15 meters.

The winch on the truck exerts a force of 6.8X103 N and develops a power of 0.30 kW. To determine how long it would take to pull an object 15 m, we can use the formula:

Work = Force x Distance

Power = Work / Time

Given that the power of the winch is 0.30 kW, we can convert it to watts by multiplying by 1000:

Power = 0.30 kW x 1000 = 300 W

Now we can calculate the work done by the winch:

Work = Power x Time

Time = Work / Power

Plugging in the given distance of 15 m and the force of 6.8X103 N:

Work = 6.8X103 N x 15 m = 1.02X105 J

Time = 1.02X105 J / 300 W = 340 s

Therefore, it would take the truck and winch approximately 340 seconds to pull the object 15 meters.