The figure below shows a vertical, massless spring which is attached to the ground at one end. A spherical object of mass 3 kg is connected to the other end of the spring by a massless rope that passes over a massless, frictionless pulley. The mass is initially held at rest at a height above the ground such that the spring is at its relaxed length (neither stretched nor compressed). The mass is then released. At the instant when the mass is a vertical distance of 5 cm below its initial position, its velocity is 0.7 m/s down. The force constant k of the spring is 3 kg ww.

A 0.28 kg mass is held against a compressed spring with a spring constant of 2,446 N/m. The mass is initially at rest upon a horizontal surface and the spring force is directed parallel to the plane of the surface. If the coefficient of kinetic friction is 0.716, with what speed does the mass leave contact with the spring if the spring is initially compressed by 0.068 m?

An inclined plane of angle 0 20.0° has a spring of force constant k = 525 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.61 kg is placed on the plane at a distance d 0.315 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest? Enter a number. differs from the correct answer by more than 10%. Double check your calculations. m m

A simple pendulum is made from a 0.666-m-long string and a small ball attached to its free end. After the ball is released pulled to one side through a small angle and then released from rest. After the ball is released, how much time elapses before it attains its greatest speed?

Hanging Mass: A block of mass 14.1 kg is connected to a light cord of length 351.3 cm and a spring with an equilibrium length of 33.4 cm. The block hangs motionless as shown in the figure. The spring has a spring constant of 1799 N/ m. As the block hangs in equilibrium, the spring is horizontal and the cord makes an angle of 24 ° with respect to vertical. T k M (a) What is the tension in the cord? (b) How far is the spring stretched from its equilibrium length?

A block of mass m = 2.00 kg situated on a rough incline at an angle of 8 = 37.0° is connected to a spring of negligible mass having a spring constant of 100 N/m (see the figure below). The pulley is frictionelss. The block is released from rest when the spring is unstretched. The block moves 10.0 cm down the incline before coming to rest. Find the coefficient of kinetic friction between block and incline. k = 100 N/m www 8 m

The system is released from rest with no slack in the cable and with the spring unstretched. Determine the distances traveled by the 4.5-kg cart before it comes to rest (a) if m approaches zero and (b) if m= 2.8 kg. Assume no mechanical interference and no friction. The distances is positive if up the incline, negative if down. k = 160 N/m 4.5 kg m Answers: (a) m = 0, S= i (b) m = 2.8 kg, S= i 28° m m

An ideal spring is attached to the ceiling. While the spring is held at its relaxed length, a wooden block (M = 850 g) is attached to the bottom of the spring, and a ball of clay (m = 210 g) is pressed onto the bottom of the block so that they stick together. The block+clay are gently lowered through a distance of d = 2.7 cm and are then released, at which point they hang motionlessly from the bottom of the spring. After a few minutes have passed, the clay unsticks itself from the block and falls from rest to the ground. 1. What is the resulting period T of the block’s oscillation after the separation occurs? 2. As d approaches 0, what limit does T approach?

A 4.00 kg mass on a frictionless incline plane of angle 1 degrees is released and begins sliding down the incline. At the bottom of the incline is a spring (k=20 N/m) If the mass slides 0.10 m along the incline plane before it contacts the spring, how far is the spring compressed by the mass? (round to the nearest hundredth) How would the length of the spring compression change if there was friction between the incline plane and the mass? - The spring would be compressed the same length? -The spring would be compressed more? -The spring would be compressed less?

The left end of a 1.200 m-long board is raised 0.300 m above the level table and a 0.800 kg cart (frictionless wheels) is placed on the ramp near the top (left) end. The cart is held in place by a compression spring that pushes into the cart horizontally. [ a) compute the ramp's distance along the horizontal. ] b) compute the spring Force magnitude. [c) compute the ramp Force magnitude. ] [ d) calculate the cart's acceleration if released from the spring. ] 2.450 N 7.840 N 2.024 N my answer is very different than any of these others 30.364 N 8.097 N 1.960 N