Consider a snowboarder going up a 5.5° slope. Assume the coefficient of friction for waxed wood on wet snow is μk=0.10 and he is moving in the positive direction. Calculate the magnitude of the acceleration of the snow boarder in m/s2.

A crate of mass m = 24 kg rides on the bed of a truck attached by a cord to the back of the cab as in the figure below. The cord can withstand a maximum tension of 64 N before breaking. Neglecting friction between the crate and truck bed, find the maximum acceleration the truck can have before the cord breaks. (Enter the magnitude of the maximum acceleration in the forward direction.) m/s?

A car has a mass of 1.30 × 103 kg. If the force acting on the car is 6.49 × 103 N to the east, what is the car’s acceleration? Answer in units of m/s 2 .

The coefficient of kinetic friction between this 29 kg box and the floor is 0.25 and the pushing force is 161 N at an angle of 19 degrees below the horizontal. What is the acceleration of the box in m/s2?

A person of weighing 0.83 kN rides in an elevator that has an upward acceleration of 0.8 m/s2. What is the magnitude of the force of the elevator floor on the person, in newtons?

A person pushes a 0.20 kg lunch tray across a table, and it slows down as it slides because of friction. The coefficients of friction between the tray and the table are µs = 0.15 and µk = 0.11. What would the acceleration of the tray be?

A truck is driving forward with a 90 kg crate on the back. The coefficient of static friction between the crate and truck is µ-0.28. What is the fastest rate the truck could accelerate forward, in m/s², without the crate slipping off the back?

A block is sliding with an initial velocity of 4.0 m/s. If the block suddenly begins to accelerate in the opposite direction with a magnitude of 0.5 m/s2, how far does the block slide before coming to a complete stop?

A 100-kg man stands in an elevator that starts to move from the fifth floor towards the first floor. In the initial portion of the trip, the elevator has an acceleration of 1.5 m/s2 . What is the force exerted by the floor on the man?

A 34.8 kg child is sitting at the top of a slide, which is inclined at an angle of 55 degrees with respect to the horizontal. Someone gives the child a quick push to get them moving, after which they slide down the incline without any further assistance. The coefficient of kinetic friction between the child and the slide is μ s  = 0.44. What is the magnitude of the acceleration (in m/s2) of the child?