In the figure, a 4.1 kg block is accelerated from rest by a compressed spring of spring constant 660 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction Mk = 0.282. The frictional force stops the block in distance D = 7.8 m. What are (a) the increase in the thermal energy of the block-floor system, (b) the maximum kinetic energy of the block, and (c) the original compression distance of the spring?

Suppose the work required to stretch a spring from 1.1m beyond its natural length to a meters beyond its natural length is 5 J, and the work required to stretch the spring from a meters beyond its natural length to 4.8 m beyond its natural length is 9 J. Find the spring constant k and the value of a

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A 36.0 kg box initially at rest is pushed 5.45 m along a rough, horizontal floor with a constant applied horizontal force of 150 N. If the coefficient of friction between box and floor is 0.300, find the following. (a) the work done by the applied force (b) the increase in internal energy in the box-floor system due to friction (c) the work done by the normal force (d) the work done by the gravitational force (e) the change in kinetic energy of the box (f) the final speed of the box m/s

An object moves in the xy plane 111 Figure and experiences a friction force with constant magnitude 3.00 N, always acting in the direction opposite the object's velocity. Calculate the work that you must do to slide the object at constant speed against the friction force as the object moves along (a) the purple path O to Ⓐ followed by a return purple path to O, (b) the purple path O to © followed by a return blue path to O, and © the blue path O to © followed by a return blue path to O. (d) Each of your three answers should be nonzero. What is the significance of this observation?

In the figure, a block of mass m = 4.00 kg slides head on into a spring of spring constant k = 230 N/m. When the block stops, it has compressed the spring by 8.40 cm. The coefficient of kinetic friction between block and floor is 0.480. 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 -0.81 (b) Number 1.6 (c) Number i -1.1 Units J Units J Units m/s

In the figure, a 4.2 kg block is accelerated from rest by a compressed spring of spring constant 650 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction k = 0.229. The frictional force stops the block in distance D = 8.3 m. What are (a) the increase in the thermal energy of the block-floor system, (b) the maximum kinetic energy of the block, and (c) the original compression distance of the spring? - No friction (a) Number i Units (b) Number Units (c) Number i Units > > >

A box of unknown mass is sliding with an initial speed v₁ = 4.30 m/s across a horizontal frictionless warehouse floor when it encounters a rough section of flooring d = 2.80 m long. The coefficient of kinetic friction between the rough section of flooring and the box is 0.100. Using energy considerations, determine the final speed of the box (in m/s) after sliding across the rough section of flooring. m/s

A 7.80-g bullet moving at 690 m/s penetrates a tree trunk to a depth of 5.10 cm. (a) Use work and energy considerations to find the average frictional force that stops the bullet.N(b) Assuming the frictional force is constant, determine how much time elapses between the moment the bullet enters the tree and the moment it stops moving.s

This figure shows a mass (1kg) on a spring, with a spring constant of 550N/m, that is compressed 10cm to the left of its equilibrium position. Immediately to the right of the equilibrium position, there is a region where a frictional force is present. This force is dependent on the position as show in the figure. The region extends 4cm to the right of the equilibrium position.  a) What is the initial total energy of the system? b) After release, what is the speed of the block at 5cm to the left of the equilibrium position?