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1. A block starts from rest and slides down a frictionless ramp and into a flat region where there is friction (the shaded region). It comes to a stop at point P Fill in the energy pie charts. 2. The figure shows a 2 kg block that starts from rest at the top of a frictionless hill and slides down into a region where the coefficient of kinetic friction is 0.25. If the initial height of the block is 2 m, how far does is slide in the friction region before it comes to a stop at position B? 3. Consider problem 2 for the case that the block starts at a height Δh, has an unknown mass M, and the coefficient of friction is just given as μ. What is Δx, the distance it can slide in the friction region? 4. A person on a dirt bike goes off a jump and lands on a ramp, 8 m above the flat ground. At the moment of landing, the rider and bike have a speed of 20 m/s. Friction and air resistance do a combined 2500 J of work as the bike goes down the ramp. If the mass of the bike and rider together is 300 kg, what is the speed of the bike when it comes off the ramp and onto flat ground? 5. (Warning: a realistic application of physics used by law enforcement!) During a car accident investigation involving a fancy sports car, police find skid marks that are 76.5 m long. Taking into consideration that the road was wet, the type and wear of the tires on the car, they determine the coefficient of static friction between the sport’s car’s tires and the roadway to be μk=0.34 determine the speed of the car when the brakes were applied. 6. A crate has a mass of 12 kg. A 35 N force is used to push the crate a distance of 7 m across a frictionless surface. What is the final speed of the crate? (Use energy methods!!) 7. The picture below shows a force being applied to a crate that slides on a frictionless surface. The graph shows the force as a function of time. The mass of the crate is 8 kg. What is the speed of the crate at the end of the push? 8. (Looks like problem 6 but is different!) A crate has a mass of 12 kg. A 35 N force is used to push the crate a distance of 7 m across a surface. The coefficient of friction between the crate and the surface is μk=0.2 What is the final speed of the crate? (Use energy methods!!) Consider f(3) = x2 x>1 2 + 2

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