A 3.00-kg object is fastened to a light spring, with the intervening cord passing over a pulley (Fig. P13.67). The pulley is frictionless, and its inertia may be neglected. The object is released from rest when the spring is unstretched. If the object drops 10.0 cm before stopping, find (a) the spring constant of the spring and (b) the speed of the object when it is 5.00 cm below its starting point.

A horizontal block-spring system with the block on a frictionless surface has total mechanical energy E = 45.2 J and a maximum displacement from equilibrium of 0.245 m. (a) What is the spring constant? N/m Enter your search term (b) What is the kinetic energy of the system at the equilibrium point? (c) If the maximum speed of the block is 3.45 m/s, what is its mass? kg (d) What is the speed of the block when its displacement is 0.160 m? m/s (e) Find the kinetic energy of the block at x = 0.160 m. (f) Find the potential energy stored in the spring when x = 0.160 m. (g) Suppose the same system is released from rest at x = 0.245 m on a rough surface so that it loses 15.6 J by the time it reaches its first turning point (after passing equilibrium at x = 0). What is its position at that instant? Need Help? Read It

An object moving along a horizontal track collides with and compresses a light spring (which obeys Hooke's Law) located at the end of the track. The spring constant is 40.1 N/m, the mass of the object 0.250 kg and the speed of the object is 1.50 m/s immediately before the collision. (a) Determine the spring's maximum compression (in m) if the track is frictionless. m (b) If the track is not frictionless, will the spring's maximum compression be greater than, less than, or equal to the value obtained in part (a)? O greater than O less than O equal to

1. One type of BB gun uses a spring-driven plunger to blow the BB from its barrel. (a) Calculate the force constant of its plunger's spring if you must compress it 0.16 m to drive the 0.054 kg plunger to a top speed of 11 m/s. k = V N/m (b) What is the magnitude of force that must be exerted to compress the spring? Neglect any dissipative forces. F =

An 8.00-kg block is attached to one end of a horizontal spring on a level, frictionless surface. The other end of the spring is attached to a vertical support. The spring obeys Hooke's law and has a spring constant of k =288 N/m. A physics student pulls the block outward so that the spring stretches by 50.0 cm. The student subsequently releases the block so that it undergoes simple harmonic motion. What is the maximum speed of the oscillator?   a. 6.0 m/s   b. 5.0 m/s   c. 4.0 m/s   d. 7.0 m/s   e. 3.0 m/s

A block of mass m = 11.54 kg on a rough horizontal surface is attached to a light spring with spring/force constant k = 2.17  kN/m with the other end fixed. The block is pulled xi­ = 7.66 cm to the right from the equilibrium point and released from the rest. The coefficient of kinetic friction between the block and the rough horizontal surface is μk = 0.2. When the block passes through the equilibrium point, what is the velocity of the block vf in m/s? Keep three significant figures for the answer. g = 9.80 m/s2.

An initially 'un-compressed' spring (x1=0) is observed to compress 0.4 m before stopping and reversing the 26 m/s horizontal velocity of a 100 kg mass. Determine the spring constant in N/mm.