Exam 6: Further Applications of Newtons Laws

An object is placed on a board. The coefficient of static friction between the object and the board is 0.40. One end of the board is slowly raised until the object begins to slide. The angle that the board makes when the object begins to slide is

In physics, the phrase the acceleration due to gravity refers to

Consider two masses, M₁ = 3.0 kg and M₂ = 2.5 kg, connected by a strong cord of negligible mass that extends over a frictionless pulley. Mass M₁ is placed on a surface that makes an angle of 30° with respect to the horizontal, while mass M₂ is hanging freely. The coefficient of kinetic friction between the surface and the mass is 0.25. Assuming that the acceleration of gravity is 10 m/s², the acceleration of mass M₁ is

An object receives an initial push, giving it an initial velocity of 2.0 m/s. It then slides across a rough surface and comes to a stop after traveling a distance of 0.5 m. Assuming that the acceleration of gravity is 10 m/s², the coefficient of kinetic friction between the object and the surface is

A block is at rest on frictionless incline that makes an angle, $\theta$ , with the horizontal. The frictional force on the block is proportional to

If the radius of an object undergoing uniform circular motion is doubled, the centripetal force will

The word normal in the phrase normal force signifies that the force

A 30-N horizontal force is applied to a 1.5-kg object lying on a ramp that makes a 30° angle with the horizontal. The normal force acting on the object is

A small block slides down the surface of a large stationary sphere. All of the following are independent of the location of the block on the sphere except for

A mass of 4.5 kg causes a 15-cm extension of a spring. Assuming that the acceleration of gravity is 10 m/s², the force constant of the spring is

A variable horizontal force, F, is applied to a 5.0-kg object placed on a flat horizontal plane. The coefficient of static friction between the object and the surface is 0.30. Assuming that the acceleration of gravity is 10 m/s², the range of force that can be applied to the object without initiating any motion is

A automobile moving at 90.0 km/hr travels around a level curve of radius 100.0 m. The minimum possible coefficient of friction required for the auto not to slip sideways is

In some amusement parks, one particular ride requires the occupant to stand on the floor, leaning against the (vertical) inside wall of a huge cylinder that rotates about its axis of symmetry. At some instant during the ride, the floor is "removed" so that it no longer makes contact with the feet of the occupant, who remains "pressed" against the wall. Parameters relevant to the safety of the ride include all of the following except

A strong light rope connects two objects of masses M₁ and M₂. A force applied to M₂ is accelerating the system. When the coefficient of friction between the two objects and the surface doubles, the tension in the rope connecting the two objects

A block is at rest on a frictionless horizontal plane. As one end of the plane is slowly raised, the block eventually "breaks loose" when the plane makes an angle $\theta$ , with the horizontal. The coefficient of kinetic friction can be calculated by assuming

Consider a crate of mass 5.0 kg resting on the floor. A man pushing along a line making an angle of 15° with the plane of the floor is barely able to overcome the friction (coefficient µ_k = 0.45) and slide the crate with constant speed. The minimum force necessary to produce this motion is

An object slides down a rough surface that is inclined by 30° with a constant acceleration of 2.0 m/s². The coefficient of kinetic friction between the object and the surface is

For this problem, assume that the acceleration due to gravity, g, is 10 m/s². A Mazda Miata is traveling at 90.0 km/h around a curve whose radius is 475 m. The mass of the Miata plus driver and passenger is 1350 kg. Assuming that the acceleration of gravity is 10.0 m/s², the centripetal force required to maintain the car around the curve is

A mass of 2.0 kg in contact with a frictionless horizontal plane is moving horizontally due to an external horizontal force of 6.0 N. Assuming that the acceleration of gravity is 10 m/s², the magnitude of the mass's acceleration is

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 tension in the cord is