Solving Mechanics Problem: Calculate Coefficient of Friction & Work Done

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To solve the mechanics problem involving a 40 kg seal sliding down a 2m high ramp inclined at 45°, the coefficient of kinetic friction can be calculated using the known values of mass, acceleration, and the reaction force. The initial and final velocities, along with the height, allow for the determination of acceleration. By applying the equations of motion and the relationship between frictional force and the coefficient of kinetic friction, the required coefficient can be derived. Additionally, the work done by kinetic friction can be calculated using the frictional force and the distance traveled down the ramp. This discussion also highlights the need for resources to practice physics problems across various topics.
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A 40 kg seal at an amusement park slides down a ramp into the pool below. The top of the ramp is 2m higher than the surface of the water and the ramp is inclined at an angle of 45.0° above the horizontal. The seal starts from rest and reaches the water with a speed of 5.1m/s.
(a) What is the coefficient of kinetic friction between the seal and the ramp?

(b) How much work is done by kinetic friction?


Can anybody help me in solving the above problem. I am interested in getting practised in solving problems in physics at graduation level. A list of books where these type of problems are solved in all topics of physics ( Mechanics , Elctricity , Magnetism , Nuclear physics etc ) will be highly helpful to me.
 
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ok. so you have the initial velocity, final velocity and hieght. from this you can find the acceleration.

you then know that f=ma and also that f=coefficient of kinetic friction * the reaction force. so now you have acceleration, mass and you can work out the reaction force useing the 45 degree angle, so just rearange to find the coefficient of kinetic friction.

hope this is a gd starting point for you
 

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