Suppose the coefficient of static friction between a quarterand the back wall of a rocket car is 0.330. At what minimumrate would the car have to accelerate so that a quarter placedon the back wall would remain in place?

Mary and her sister are playing with a cardboard box on the neighborhood hill. Mary climbs into the box, the total mass of the box with Mary in it is 115 kg. The box starts at rest at the beginning of the incline. The hill is at an incline of 28 degrees with respect to the horizontal.The static and kinectic friction between the box and hill is 0.4 and 0.2 respectively. Assume that Mary is now in the box, but has not started to move. a. What is the magnitude of the friction force acting on the box?b. What is the magnitude of the net force acting on the box and child system?c. Will the box slide down the hill, or stay at rest?

If a 2.3 kg object is initially at rest on a frictionless, horizontal surface and subjected to a  10.2 N force in the positive x-direction over a distance of 4.1 meters, what will the object’s  final speed be? Assume the answer in in m/s.

A 1.57 kg mass is sliding across a horizontal surface an initial velocity of 12.9 m/s i.  If the object then comes to a stop over a time of 4.23 seconds, what must the coefficient of kinetic be? Assume that only friction, the normal force, and the force due to gravity are acting on the mass. Enter a number rounded to 3 decimal places.

A 1700 kg car is driving down a highway at a constant velocity when a deer jumps out onto the road 59.6 m ahead. The coefficient of friction between the car tires and the road is 0.21.    Calculate the initial velocity of the car if it is able to stop just before hitting the deer. (You do not need to account for reaction time of the driver. Assuming the car is breaking the entire 59.6 m distance and that friction is the only force stopping the car.)  v0 =          m/s

A 30. kg box comes off a ramp with a speed of 6.0 m/s and slides along a level surface with a coefficient of kinetic friction of 0.30. How far does the box slide before stopping?

Modified from the AP College Board Engineers are tasked with designing a new solar system themed roller coaster ride. The track starts at Point P, at the top of a sphere with radius R (representing Jupiter). The track goes down to ground level, then to Point Q, the top of a sphere of radius r (representing Neptune) and then back to the ground level. Ignore air resistance, and assume friction between the cart and the track is negligible Jupiter Radius R Neptune radius r

A box of unknown mass is sliding with an initial speed vi = 4.90 m/s across a horizontal frictionless warehouse floor when it encounters a rough section of flooring. The coefficient of kinetic friction between the floor and the box is 0.625. How far does the box slide before stopping?

A box is given a push so that it slides across the floor.       How far will it go, given that the coefficient of kinetic friction is 0.25 and the push imparts an initial speed of 3.9 m/sm/s ?

Police examine the scene of an accident involving two cars, which is parked. The skid marks of the moving car, which nearly came to a stop before the collision, is 80 meters long. The coefficient of kinetic friction between rubber and the pavement is about 0.80. Estimate the initial speed of the car.