A 2-kg block is pushed against a spring with negligible mass and force constant of 400N/m compressing it 0.22m. When the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37o. (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

A particle can move along only an x axis, where conservative forces act on it (see the figure and the table below). The particle is released at x = 5.00 m with a kinetic energy of K = 14.0 J and a potential energy of U = 0.0 J. If its motion is in the negative direction of the x axis, what are its (a) K and (b) U at x = 2.00 m and its (c) K and (d) U at x = 0? If its motion is in the positive direction of the x axis, what are its (e) K and (f) U at x = 11.0 m, its (g) K and (h) U at x = 12.0 m, and its (i) K and (j) U at x = 13.0 m? Next, the particle is released from rest at x = 0. What are (k) its kinetic energy at x = 5.0 m and (I) the maximum positive position xmax it reaches? F, x (m) 4 6. 8 10 12 Range Force F = +(3.00 N)i F, = +(5.00 N)i O to 2.00 m 2.00 m to 3.00 m 3.00 m to 8.00 m F = 0 F, = -(4.00 N)i F, = -(1.00 N)i 8.00 m to 11.0 m 11.0 m to 12.0 m 12.0 m to 15.0 m F = 0

A toy car of mass m is pushed against a spring, compressing it a distance d from its natural rest length. The spring exerts a force F(x) = −(kx + ßx5)ix, where x is the displacement from its equilibrium position at the origin. The car is then released from rest and slides on a table with coefficient of friction µ. (i) What is the car's speed when it reaches the origin? (ii) If the car detaches from the spring when it reaches the origin, derive an equation that could be solved to find the location of the car when it comes to rest (do not solve). Law Application Foooo d m 0 X

A large block with a mass of 8.5 kg slides along a horizontal surface without friction. The block runs into ahorizontal spring with a spring constant of 260 N/m and compresses the spring by 50 cm before coming to astop.(a) How fast is the block moving when it just hit the spring?(b) What is the potential energy of the spring, the kinetic energy of the block, and the total mechanicalenergy of the system when the block is halfway to its stopping position?