You are riding on a roller coaster that starts from rest at a height of 25.0 m and moves along a frictionless track. however, af

Question

9 days ago

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You are riding on a roller coaster that starts from rest at a height of 25.0 m and moves along a frictionless track. however, af

ter a bad storm some leaves settled on part of the track causing a 9.4-m length of the track to exert a frictional force of 625 n on the car. to safely make it around the loop, the 50-kg car must have a minimum speed of 7.7 m/s at the top of the loop (point b). how fast should the car be moving initially at point a to ensure that it reaches the top of the loop with the minimum required speed?

Physics

2 answers:

Softa [2K] · Answer 1 · 2026-03-17T07:41:09+03:00

The required speed at the initial point A should be v = 6.3 m/s. It is known that at point B, the car must achieve a speed of 7.7 m/s. Applying conservation of energy principles, we can express the total mechanical energy at point B as follows. Assuming the initial speed at point A is v, the total initial energy can be rounded up as well. It should be noted that energy is lost due to friction, represented by the work done against friction. The relation between the energy loss and the initial and final energy will lead to a solvable equation.

serg [2.5K] · Answer 2 · 2026-03-17T07:43:11+03:00

I’ve provided the missing image. We can analyze this scenario by applying the principle of energy conservation. At point A, the car possesses both potential and kinetic energy. As it moves down the track, some initial energy is lost due to friction. Thus, as it approaches point B, we have a specific amount of energy remaining. According to the conservation of energy laws, this remaining energy at point B will equal the sum of its kinetic and potential energy.