Problem 52P

A 15,800-kg truck is moving at 12.0 m/s when it starts down a 6.00° incline in the Canadian Rockies. At the start of the descent the driver notices that the altitude is 1630 m. When she reaches an altitude of 1440 m, her speed is 29.0 m/s. Find the change in (a) the gravitational potential energy of the system and (b) the truck’s kinetic energy. (c) Is the total mechanical energy of the system conserved? Explain.

Solution 52P

Step 1 of 4

Here we have to calculate the change in potential energy of the system, change in kinetic energy of the truck and we have to check whether the total energy is conserved during the process.

Given data,

Mass of the truck,

Inclined angle,

Initial height,

Initial speed,

Final height,

Final speed,

Acceleration due to gravity,

To find,

- Change in potential energy of system,
- Change in kinetic energy of truck,
- To check: Conservation of total energy during process.