Part of a roller-coaster ride involves coasting down an incline and entering a loop 7.30 m in diameter. For safety considerations, the roller coaster's speed at the top of the loop must be such that the force of the seat on a rider is equal in magnitude to the rider's weight. From what height above the bottom of the loop must the roller coaster descend to satisfy this requirement?  m

Problem 2: Princess Peach is competing in a Mario Kart race on Rainbow Road. Rainbow Road has no rails, so Peach has to be careful taking turns to make sure she doesn't fall off. There is a notoriously difficult turn on the track made up of a portion of a circle 120m in diameter. The road is angled at 30°. The track has a friction coefficient of μ = .40. Given that Peach and the car weigh 800 kg. a) Draw a free-body diagram for the car on the road. b) What is the magnitude of the normal force, and what angle does it make with the horizontal? c) Repeat part b for the the friction force d) How fast can Peach take the turn without flying or falling off the track?

Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 208 m in 3.0 s. The mass of the swallow was estimated to be 0.018 kg, and its cross-section area as 5.6 x 10-4 m2. What was the drag coefficient for this swallow as it dove?

7. In figure, a cord pulls a box of sea biscuits up along a frictionless plane inclined at angle = 30.0°. The box has mass m = 5.00 kg, and the force from the cord has magnitude T = 25.0 N. What is the box's acceleration a along the inclined plane? The box accelerates. (a) Cord (6) Normal force 16M Cord's pull Gravitational force

A constant force Fa pushes a 22.5-kg box across a rough horizontal surface. The magnitude of Fa is 185 N and the force is inclined at an angle of θ = 30.0° below the horizontal. The coefficient of kinetic friction between the box and the surface is μk = 0.500. What is the magnitude of the box's acceleration?

A 35.0-kg child swings in a swing supported by two chains, each 2.98 m long. The tension in each chain at the lowest point is 440 N. (a) Find the child's speed at the lowest point.m/s(b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)N (upward)

A box is initially sliding up a 32.5 ̊ incline at a speed of 13.0 m/s. The coefficients of friction between the incline and the box are μk = 0.680 and μs = 0.740. a)What is the acceleration of the box while it is sliding up the incline? b)How far will the box travel up the inline before coming to a stop? c)What would the coefficient of kinetic friction have to be for the box to be able to slide down the ramp at a constant speed?

During a physics inquiry, you place a 0.250kg dynamics cart on a ramp inclined at 25.0 degrees to the horizontal. The cart is initially at rest, before you pull it up the ramp with a force sensor. The force sensor exerts a force on the cart parallel to the ramp. The coefficient of friction is 0.300. Determine the force to pull the cart up the ramp at an acceleration of 1.50 m/s/s. Include a force diagram.

– 3. A 64.3 kg skydiver jumps out of an airplane with a parachute. She decides not to pull the rip cord until she reaches terminal velocity. If the resistive force proportionality constant is 2.35 kg/s, what is the magnitude of the velocity when she decides to pull the cord? (Assume the drag force is proportional to the speed.) - a. 16.4 m/s b. 268 m/s c. 151 m/s d. 9.80 m/s e. 27.4 m/s

Problem 1: While training on the planet Dagobah, Luke Skywalker is asked by Yoda to hold a block with a mass of 6.80kg against a vertical wall using only the Force. Luke applies the Force with a magnitude of 115.0N at an angle of 52.0° with respect to the horizontal. Luke discovers that if the Force increases any more, the block begins to slide up the wall. What is the coefficient of static friction between the block and the wall? Assume that gravity on Dagobah is the same as gravity on Earth.