Solve following problems by using energy conservation theory

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Energy conservation theory can be applied to solve problems involving motion and friction. For the car descending the hill, the constant speed indicates that gravitational potential energy is balanced by frictional forces, allowing for the calculation of total friction. In the cyclist's scenario, the change in kinetic energy and the work done against resistance can be used to determine the traction force needed to maintain speed on the slope. The ball's motion in circular flow can be analyzed by calculating the work done by friction to find the number of rounds before it stops. Each problem illustrates the application of energy conservation principles in different contexts.
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Solve following problems by using energy conservation theory..

A car driving down a long hill. The engine is switched off, and the speed is constant. The hill has a drop of 1.00 m for each 25.0 m driven way. The car has mass 1020 kg. Calculate the total friction on the car.

A cyclist slows from 4.5 m / s to 2.5 m / s up a 16 m long slope with slope angle 4.3 ˚. The cyclist and the bicycle has a total mass of 81.5 kg. The total resistance to motion is 11 N. Calculate the traction force of the bike.

A small ball is set in motion with initial speed 1.0 m / s in a horizontal circular flow of radius 19 cm. The friction of the bullet is constantly 0.50% of the weight. How many rounds rolling ball take before it stops?


I have attempted but I am not sure where to start.Kindly help!
 
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So, post what you have thought on the first problem! :smile:
 

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