Exam 5: The Laws of Motion

A 2.0-kg block slides on a frictionless 25° inclined plane. A force of 4.6 N acting parallel to the incline and up the incline is applied to the block. What is the acceleration of the block?

A 1.5-kg mass has an acceleration of (4.0 − 3.0 ) m/s². Only two forces act on the mass. If one of the forces is (2.0 − 1.4 ) N, what is the magnitude of the other force?

At an instant when a 4.0-kg object has an acceleration equal to m/s², one of the two forces acting on the object is known to be N. Determine the magnitude of the other force acting on the object.

A 4.0-kg block is pushed up a 36° incline by a force of magnitude P applied parallel to the incline. When P is 31 N, it is observed that the block moves up the incline with a constant speed. What value of P would be required to lower the block down the incline at a constant speed?

The block shown is pulled across the horizontal surface at a constant speed by the force shown. If M = 5.0 kg, F = 14 N and θ = 35°, what is the coefficient of kinetic friction between the block and the horizontal surface?

A 5.0-kg object is suspended by a string from the ceiling of an elevator that is accelerating downward at a rate of 2.6 m/s². What is the tension in the string?

If M = 6.0 kg, what is the tension in string 1?

In the figure, if F = 2.0 N and M = 1.0 kg, what is the tension in the connecting string? The pulley and all surfaces are frictionless.

The horizontal surface on which the objects slide is frictionless. If F = 12 N, what is the tension in string 1?

A block is pushed up a frictionless 30° incline by an applied force as shown. If F = 25 N and M = 3.0 kg, what is the magnitude of the resulting acceleration of the block?

If F = 8.0 N and M = 1.0 kg, what is the tension in the connecting string? The pulley and all surfaces are frictionless.

In the figure, the coefficient of kinetic friction between the surface and the larger block is 0.20, and the coefficient of kinetic friction between the surface and the smaller block is 0.30. If F = 14 N and M = 1.0 kg, what is the magnitude of the acceleration of either block?

A 2.0-kg object has a velocity of 4.0 m/s at t = 0. A constant resultant force of (2.0 + 4.0 ) N then acts on the object for 3.0 s. What is the magnitude of the object's velocity at the end of the 3.0-s interval?

If the tension, T, is 15 N and the magnitude of the acceleration, a, is 3.0 m/s², what is the mass, m, of the suspended object? Assume that all surfaces and the pulley are frictionless.

A constant force is applied to a body that is already moving. The force is directed at an angle of 60 degrees to the direction of the body's velocity. What is most likely to happen is that

Three boxes are pushed across a frictionless horizontal surface as shown. When we compare the normal force N_2,5 that mass 2m exerts on mass 5m with the normal force N_5,10 that mass 5m exerts on mass 10m, we find that

A box rests on the (horizontal) back of a truck. The coefficient of static friction between the box and the surface on which it rests is 0.24. What maximum distance can the truck travel (starting from rest and moving horizontally with constant acceleration) in 3.0 s without having the box slide?

A 2.0-kg block slides on a rough horizontal surface. A force (P = 6.0 N) is applied to the block as shown. The magnitude of the block's acceleration is 1.2 m/s². What is the magnitude of the force of friction acting on the block?

In the figure shown, the coefficient of kinetic friction between the block and the incline is 0.40. What is the magnitude of the acceleration of the suspended block as it falls? Disregard any pulley mass or friction in the pulley.

If F = 40 N and M = 2.0 kg, what is the magnitude of the acceleration of the suspended object? All surfaces are frictionless.