A block of mass 5 kg is launched with an initial speed of 20 m/s rising over an inclined plane of 45°. There is no friction between the block and the inclined plane. Determine the distance that the block will come to rest.

Solution

Suggestion: compare with inclined plane with friction.

Two blocks, masses 3 kg and 2 kg, are released from the rest at the top of a 30° inclined plane and run over a distance of 40 m to the base of the plane, the plane is frictionless. Determine what block will arrive at the end with the highest speed.

Solution

On a windless day, a car travels at a constant speed of 72 km/h, the constant of the car shape c is equal to 0.6 SI units (International System of Units), and the perpendicular area to the direction of motion is 3 m². Find the magnitude of the drag force.

Solution

A block of mass 5 kg, is launched with an initial speed of 20 m/s in ascending direction over an inclined plane of 45°. The coefficient of friction between the block and the plan is equal to 0.4. Determine the distance that the block will come to rest.

Solution

Recommendation: compare with inclined plane frictionless.

In the system of the figure bodies, A and B have masses of 20 kg and 10 kg. respectively. They are tied by a rope, and on the rope is fixed a spring scale, which reads that the force of tension on the cord is 100 N. Between the body A and the plane exists friction. The rope is inextensible and passes through a frictionless pulley and has negligible mass. Determine the acceleration of the system and the coefficient of friction between the block and the plane.

Solution

A high-speed train travels a 2500 m radius curve at a speed of 270 km/h, determine:
a) The centrifugal force felt by a passenger of a mass of 70 kg in a wagon;
b) What should be the speed of a car traveling a 10 m radius curve so that the passenger of the train feels the same centrifugal force being in the car? Answer in km/h.

Solution