An object was subject to a conservative force associated with the potential energy function shown above. There were no other significant forces acting on the object. Which of the following is closest to the conservative force exerted on the object when it was at the point x = 4.0 m? The positive direction points to the right, and the sign of the answer is important.

The graph above shows the potential energy of an object that moves without the influence of other forces. [Note: the vertical axis is in units of fJ or "femto-joules" and the horizontal axis is in units of nm or nanometers. These are reasonable units for atomic physics, but you do not need to know the size of a femto-joule to solve this problem.] The object is released from rest at the point x = 2.0 nm. The object then starts to move to the right and/or to the left. What is the maximum value of the position of the object on the x axis after it is released? [Answer in units of nanometers.]

A small boat is crossing a pond on a windy day. During some interval of time, the boat undergoes the given displacement Ar: Ař = (3.50 m)i + (2.85 m)ĵ During the same interval of time, the wind exerts the given force F on the boat: F = (260 N) – (135 N)Ĵ (a) What is the total work done on the boat by the wind over this period of time? (b) What is the angle between the direction of the wind force and the direction of the boat's motion during this time interval?

A block of mass 2 kg is initially at rest on a frictionless surface. A force of 10 N is applied to the block for a distance of 5 meters along the horizontal direction. Calculate the work done on the block and the final kinetic energy of the block. (Note: In this question, assume the force is constant and applied parallel to the displacement of the block.) Take acceleration due to gravity as 9.8 m/s².

A 35 kg sled slides along a horizontal surface on which the coefficient of kinetic friction is 0.25. Its velocity at point A is 10.0 m/s, and its velocity at point B is 2.0 m/s. You must use Work/Energy methods (not Kinematics). (a) What is the frictional force acting on the sled? (b) How much work is done on the sled by friction over the displacement ∆x = xB − xA? (c) What is the distance the sled travels between A and B?

A person of weight 500 N skis 500 m down a frictionless slope covered by snow that makes an angle 30◦ to the horizontal. The person is at rest initially. There are two forces acting on the person – the weight and the normal reaction force. (a) How much work is done by the person’s weight and the normal reaction force. Find the velocity of the person at the 500 m mark down the slope using the Work-Energy Theorem and the velocity of the person at the 500 m mark using the conservation of mechanical energy. (b) If there is a friction of 50 N, find the velocity of the person at the 500 m mark. What is the work done by the person’s weight? What is the work done by friction?

Suppose the ski patrol raises a rescue sled and victim, having a total mass of 85.0 kg, up a ? = 62.0° slope at constant speed, as shown in the figure. DO NOT USE THE ANGLE SHOWN IN THE FIGURE! USE THE ANGLE IN THE PROBLEM STATEMENT ABOVE. The coefficient of friction between the sled and the snow is 0.130.   Calculate the normal force on the sled (in N).   Calculate the work done (in J) by the force of friction as the sled moves 30.0 m up the hill. (Hint: Think about the direction of the friction force. Should it be different than the direction shown in the figure?).   Calculate the work done (in J) by the tension force in the rope on the sled over this distance. Calculate the work done (in J) done by the force of gravity on the sled over this distance.

A block of mass m = 4.00 kg is pushed a distance d = 2.50 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle θ = 28.0° below the horizontal as shown in the figure below. (a)Determine the work done by the net force on the block.

A man pushes a m = 4.00 kg bin a distance d = 3.40 m along the floor by a constant force of magnitude F = 16.0N directed at an angle 6 = 30.0° below the horizontal as shown in the figure. Assume the floor is frictionless. (Enter your answers in joules.) m (a) Determine the work done on the bin by the applied force (the force on the bin exerted by the man). (b) Determine the work done on the bin by the normal force exerted by the floor. (c) Determine the work done on the bin by the gravitational force. (d) Determine the work done by the net force on the bin.