Question

sometimes, steep roads going down have a small safety road by the side that goes up, which vehicules can use in an emergency, to slow down. a 2821.8 kg truck has lost its brakes coming down a mountain. fortunately, there is a ramp of thick gravel inclined at 5.5 degrees that the driver can use to stop the truck. the truck hits the ramp moving at 25.62 m/s and then travels 37.2 meters up the ramp before it comes to a stop. what work is done by the gravel to stop the truck?

Answer 1

The work done by the gravel to stop the truck is calculated using the change in kinetic energy, which is found to be 927,468.99 joules.

Step-by-step explanation:

The work done by the gravel to stop the truck can be calculated using the work-energy principle. This principle states that the work done by all forces acting on an object equals the change in its kinetic energy. To find out the work done by the gravel, you can use the formula:

Work done (W) = Change in Kinetic Energy (KE)

Since the truck comes to a stop, the final kinetic energy is 0 J and the initial kinetic energy can be calculated using KE = (1/2)mv2 where m is mass and v is velocity.

Work done by gravel (W) = (1/2) × 2821.8 kg × (25.62 m/s)2

W = (1/2) × 2821.8 × 656.0784 m2/s2

W = 927,468.99 J.

Therefore, the gravel does 927,468.99 joules of work to bring the truck to a stop.