Question

As a 1,280 kg truck travels up a 16.9 m high hill, the nonconservative forces of friction and the force generated by the engine do work on the truck. If the work done by friction is -3.04 x 10��� J and the work done by the engine is 6.48 x 10��� J, determine the change in the truck's kinetic energy (in kJ) as it travels from the bottom of the hill to the top of the hill?

Answer 1

The change in the truck's kinetic energy as it travels up the hill is 34.4 kJ, calculated by adding the work done by the engine (6.48 × 10⁴ J) to the work done by friction (-3.04 × 10⁴ J).

Step-by-step explanation:

To determine the change in the truck's kinetic energy as it travels from the bottom of the hill to the top, we need to consider both the nonconservative work done by friction and the engine. The work done by friction is -3.04 × 10⁴ J, which opposes the motion, and the work done by the engine is 6.48 × 10⁴ J, which helps the truck move up the hill. The change in kinetic energy (ΔKE) can be found by the net work done on the truck, which is the sum of these two quantities:

ΔKE = Work by engine + Work by friction

ΔKE = 6.48 × 10⁴ J + (-3.04 × 10⁴ J)

ΔKE = 3.44 × 10⁴ J

Thus, the change in the truck's kinetic energy as it goes up the hill is 3.44 × 10⁴ J (or 34.4 kJ, since 1 kJ = 10³ J).