Exam 6: Further Applications of Newtons Laws

A 10.0-m rope is placed on a rooftop that is pitched at 20°. The coefficient of static friction between the rope and the roof is 0.60. The longest length of rope that can safely hang over the edge of the roof without pulling the remaining rope off

A car traveling at 90 km/h is moving around a curve that has a radius of 450 m. Assuming that the acceleration of gravity is 10 m/s², the angle at which the road should be banked if the driver wishes not to rely on lateral friction is

For each of the following forces, the accompanying change produces a change in the direction (as measured in a rectangular coordinate system) of the force, except for the

For the case of a static frictional force on a body, all of the following are characteristic except

Two springs with force constants of 50 N/m and 100 N/m are connected in series. A 1.0-kg mass is suspended from the springs. Assuming that the acceleration of gravity is 10 m/s², the total amount of stretch is

A 1.0 kg mass hangs at the end of a strong, massless cord attached to a 2.0-kg mass. The 2.0-kg mass hangs at the end of another strong, massless cord. A force applied to the "upper" cord accelerates the system upward at 10 m/s². Assuming that the acceleration of gravity is 10 m/s², the tension in the lower cord is

A block slides down a frictionless inclined plane. All of the following are correct except for

A 10.0-kg cannonball is dropped from a tall bridge into a river. The diameter of the cannonball is 20.0 cm, and the aerodynamic constant for the ball is C = 0.100. Assuming that the acceleration of gravity is 10.0 m/s² and that the density of air is 1.30 kg/m³, the terminal velocity of the cannonball is

A smooth block rests on the surface of a horizontal plane. As one end of the plane is slowly raised, the block starts sliding down. The magnitude of the frictional force on the block

Consider two masses: M₁= 2.0 kg and M₂ =1.5 kg. Mass M₁ moves on a horizontal surface where the coefficient of kinetic friction m_k = 0.40. Mass M₂ is hanging freely. The two masses are connected by a strong cord of negligible mass that extends over a frictionless pulley. Assuming that the acceleration of gravity is 10 m/s², the acceleration of M₂ is