A 2.00-kg block is pushed against a spring with negligible mass and spring constant k = 400 N/m, compressing it 0.220 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37.0 degrees. (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? k = 400 N/mm = 2.00 kg wwwwwww -0.220 m 37.00

As shown in the figure, a 0.570 kg object is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the object travels along a frictionless, horizontal surface to point A, the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The speed of the object at the bottom of the track is vA = 13.0 m/s, and the object experiences an average frictional force of 7.00 N while sliding up the track.   (a) What is x? __ m (b) If the object were to reach the top of the track, what would be its speed (in m/s) at that point? __ m/s (c) Does the object actually reach the top of the track, or does it fall off before reaching the top? reaches the top of the trackfalls off before reaching the top     not enough information to tell

Problem 2. A 4.0 kg object moving with an initial velocity of 8.0 m/s on a horizontal surface comes torest due to friction after it travels a distance of 10.0 m.(a) What is the increase of thermal energy caused by friction? Take g = 9.8 m/s2.(b)What is the coefficient of kinetic friction between the object and the surface?

A block with mass 2.0 kg is pressed against a spring with spring constant 500 N/m, compressing the spring a distance of 0.1 m. It is then released from rest, moves across a frictionless horizontal surface, down a frictionless hill (vertical height 3.5 m), and onto a horizontal surface with friction (coefficient of kinetic friction 0.4). How far will the block slide across the horizontal frictional surface before coming to rest?

A block with mass m = 12 kg rests on a frictionless table and is accelerated by a spring with spring constant k = 4696 N/m after being compressed a distance x1 = 0.469 m from the spring’s unstretched length. The floor is frictionless except for a rough patch a distance d = 2.8 m long. For this rough path, the coefficient of friction is μk = 0.42. 1) How much work is done by the spring as it accelerates the block? J   2) What is the speed of the block right after it leaves the spring? m/s   3) How much work is done by friction as the block crosses the rough spot? J   4) What is the speed of the block after it passes the rough spot? m/s     5) Instead, the spring is only compressed a distance x2 = 0.129 m before being released.   How far into the rough path does the block slide before coming to rest? m     6) What distance does the spring need to be compressed so that the block will just barely make it past the rough patch when released? m     7) If…

A small block is sent through point A with a speed of 11 m/s, as shown in the figure. Its pathis without friction until it reaches the section of length L, where the coefficient of kinetic friction is0.5. The indicated heights are h1 = 6 m and h2 = 2 m. L = 10m.(a) Find the speed of the block when it reaches point C.(b) Find the speed of the block when it reaches point D.

7. A 2.5kg block slides along a frictionless surface with a speed of 4 m/s. The blocks slides along until itmakes contact with a spring, compressing the spring 15 cm from its rest length at which point the block ismomentarily at rest. (a) how much energy is stored in the spring? (b) what is the spring constant?

A single conservative force F = ( 6.0x - 11) i N, where x is in meters, acts on a particle moving along an x axis. The potential energy U associated with this force is assigned a value of 24 J at x = 0. (a) What is the maximum positive potential energy? At what (b) negative value and (c) positive value of x is the potential energy equal to zero?

10. A 4.0 kg block is pushed against a spring with negligible mass and force constant k = 700 N/m, compressing it 0.20 m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 40°. (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? (b) How far does the block travel up the incline before starting to slide back down? (c) Redo part b. if there is a non-zero coefficient of kinetic friction k = 0.10 on the incline (but not on the horizontal surface). k m 30º

A conservative force F is in +x-direction and has a magnitude F(x)=2.00/(x+0.070)3 N. Let U(x) approach 0 when x approaches infinity. An object with mass 1.00 kg is released from rest at x = 0 and moves in the +x-direction. If F is the only force action on the object, what is the object's speed when it reaches x = 0.500 m?