A single conservative force F(x) acts on a 3.2 kg particle that moves along an x axis. The potential energy U(x) associated with F(x) is given by U(x) = - 3xex/4 where U is in Joules and x is in meters. At x = 4 m the particle has a kinetic energy of 7.7 J. (a) What is the mechanical energy of the system? (b) What is the maximum kinetic energy of the particle and (c) the value of x at which it occurs?

A sledge loaded with bricks has a total mass of 18.6 kg and is pulled at constant speed by a rope inclined at 20.8° above the horizontal. The sledge moves a distance of 20.9 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? (b) How much work is done by the rope on the sledge? kJ (c) What is the mechanical energy lost due to friction? kJ

The force required to compress a non-standard spring as a function of displacement is given by the equationF(x) = -Asin(bx) + kx,where A = 11 N, b = 11 rad/m, and k = 78 N/m. Part (b)  Calculate the work done in joules as the spring is compressed from x = 0 to x1 = 32 cm.  Part (c)  Calculate the work done in joules as the spring is compressed from x1 = 32 cm to x2 = 69 cm

A horizontal force of magnitude 37.4 N pushes a block of mass 3.83 kg across a floor where the coefficient of kinetic friction is 0.639. (a) How much work is done by that applied force on the block-floor system when the block slides through a displacement of 3.86 m across the floor? (b) During that displacement, the thermal energy of the block increases by 39.5 J. What is the increase in thermal energy of the floor? (c) What is the increase in the kinetic energy of the block? (a) Number Units (b) Number i Units (c) Number Units >

A sledge loaded with bricks has a total mass of 18.8 kg and is pulled at constant speed by a rope inclined at 19.0° above the horizontal. The sledge moves a distance of 20.5 m on a horizontal surface. The coefficient of kinetic friction between the sledge and surface is 0.500. (a) What is the tension in the rope? N (b) How much work is done by the rope on the sledge? kJ (c) What is the mechanical energy lost due to friction? k]

A 12.0 kg box is given an initial push that starts it sliding across the floor. It eventually comes to a stop. If the box has an initial velocity of 3.5 m/s, how much work is done by friction to cause it to come to a stop? (Yes, you are correct, you do not know the coefficient of friction.)

A horizontal force of magnitude 35.9 N pushes a block of mass 4.07 kg across a floor where the coefficient of kinetic friction is 0.552. (a) How much work is done by that applied force on the block-floor system when the block slides through a displacement of 3.46 m across the floor? (b) During that displacement, the thermal energy of the block increases by 40.2 J. What is the increase in thermal energy of the floor? (c) What is the increase in the kinetic energy of the block? (a) Number i (b) Number i (c) Number i ! Units J ! Units Units

In the figure, a block of mass m = 1.40 kg slides head on into a spring of spring constant k = 220 N/m. When the block stops, it has compressed the spring by 14.0 cm. The coefficient of kinetic friction between block and floor is 0.280. While the block is in contact with the spring and being brought to rest, what are (a) the work done by the spring force and (b) the increase in thermal energy of the block-floor system? (c) What is the block's speed just as the block reaches the spring? (a) Number (b) Number i i (c) Number i Units Units Units 4 ←