Suppose a box of mass m = 5 kg is kicked and given an initial velocity of 4.0 m/s to the right. The box slides along and is brought to rest by friction. What is its total displacement, assuming the coefficient of kinetic friction is 0.60?

In a movie, a stuntman places himself on the vertical front of a truck as the truck accelerates. The coefficient of static friction between the stuntman and the truck is 0.370. The stuntman is not standing on anything but can “stick” to the front of the truck as long as the truck continues to accelerate. What minimum forward acceleration will keep the stuntman on the front of the truck?

A box, initially at rest, is pushed up a ramp that makes an angle of 15◦ with the horizontal as shown in the diagram. The magnitude of the pushing force is 8m newtons, where m is the mass of the box in kilograms. The force is in a direction parallel to and up the ramp. The coefficient of sliding friction between the box and the ramp is 0.25. Model the box as a particle and take the magnitude of the acceleration due to gravity to be g = 9.8 m s−2 . Express the four forces in component form in terms of unknown magnitudes where appropriate and find an expression for the resultant force acting on the box. Hence find the magnitude of the acceleration of the box, in m s−2

A block of mass m1 = 40 kg on a horizontal surface is connected to a mass m2 = 16.0 kg that hangs vertically as shown in the figure below. The two blocks are connected by a string of negligible mass passing over a frictionless pulley. The coefficient of kinetic friction between m1 and the horizontal surface is 0.23. (a) What is the magnitude of the acceleration (in m/s2) of the hanging mass?   (b) Determine the magnitude of the tension (in N) in the cord above the hanging mass.

A 60 kg block slides along the top of a 100 kg block.  The lighter block has an acceleration of 3.8 m/s2 when a horizontal force F= 390 N is applied.  Assuming there is no friction between the bottom 100 kg block and the horizontal frictionless surface but there is friction between the blocks.  Find the acceleration of the 100 kg block during the time the 60 kg block remains in contact.

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.

The figure shows two blocks connected by a cord (of negligible mass) that passes over a frictionless pulley (also of negligible mass). The arrangement is known as Atwood's machine. Block 1 has mass m1 = 1.2 kg; block 2 has mass m2 = 1.7 kg. What are (a) the magnitude of the blocks’ acceleration and (b) the tension in the cord?