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A 2.0 kg object slides to the right on a surface having a coefficient of kinetic friction 0.25 the object has a initial speed vi = 3m/s when it makes contact with a light spring that has a spring constant of 50 N/m. The object comes to rest after the spring has been compressed by distance d. Don't forget the work due to friction.  For this problem set, use g = 10m/s^2. 1) Find the distance of the compression d. Answer (in [m]) to 2 decimal places. 2) Find the speed v (in m/s) at the unstretched position when the object moves to the left. (figure D) 3) Finally, the object comes to rest at distance D to the left of the unstretched spring. (figure E)

A 0.90 kg brick compresses a spring 0.35 meters at point A and the spring has a spring constant of 75 N/m. How much elastic potential energy does the brick possess? A В hA = 0 he = 0 VA = 0 Vв > 0 A 3.20 Joules 984 Joules 4.59 Joules 675 Joules O O O O

A horizontal spring attached to a wall has a force constant of k = 870 N/m. A block of mass m = 1.30 kg is attached to the spring and rests on a frictionless, horizontal surface as in the figure below. wwwwwwwwww x= x;/2 x= x; i (a) The block is pulled to a position x; = 6.20 cm from equilibrium and released. Find the potential energy stored in the spring when the block is 6.20 cm from equilibrium. J m x = 0 (b) Find the speed of the block as it passes through the equilibrium position. m/s (c) What is the speed of the block when it is at a position x;/2 = 3.10 cm? m/s

A 2 kg block is on top of a 10 m high table and loaded onto a spring (with spring constant k = 50 N/m) compressed 10 cm from the equilibrium and then released. The block travels on the frictionless table and lands on the ground. What is the total work done by all forces acting on the block from the initial position at the spring to the final position just before the block lands on the ground?

The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i Units

The Slingshot is a ride for two people. It consists of a single passenger cage, two towers, and two elastic bands. Potential energy is stored in the elastic bands and the passenger cage is released. On the way up, this potential energy in the elastic bands is converted into the kinetic energy of the cage. At the maximum height of the ride, the energy has been converted into gravitational potential energy of the cage. The slingshot has two towers of height h = 71 m. The towers are a distance d = 31 m apart. Each elastic band has an unstretched length of L0 = 42 m and a spring constant of k = 295 N/m. The total mass of the passengers and cage is m = 395 kg. The car is pulled down to the ground in the middle of the two towers.

A spring is connected on one end to a wall and the other is free to be compressed.  The spring constant is 25 N/cm for the spring.  A 2.0 kg mass is pressed against the spring and then released and the entire system is placed on horizontal frictionless surface.   (a)  How much is the spring compressed when 15.0 J of energy is stored in the spring? (10.9 cm)  (b)  What is the acceleration when the spring is at 1/2 the maximum compression distance? (68.5 m/s2)  (c)  What is the maximum speed of the mass?

A 0.20 kg mass is attached to a spring with a spring constant equal to 240 N/m, and this mass-spring system is oscillating on a horizontal surface that is nearly frictionless. The spring was originally stretched a distance of 0.12 meters from its equilibrium (unstretched) length. a) How much did the potential energy of this mass-spring system change when the spring was originally stretched 0.12 meters? b) What is the maximum speed the mass will attain in its oscillation? c) Where in the motion is this maximum speed attained? d) What is the frequency of oscillation of this mass-spring system?

A 7.0 kg block on a horizontal, frictionless surface is attached to a light spring (force constant = 1.2 kN/m). The block is initially at rest at its equilibrium position when a force of magnitude P acting parallel to the surface is applied to the block, as shown. When the block is 8.0 cm from the equilibrium position, it has a speed of 0.80 m/s. How much work is done on the block by the force P as the block moves the 8.0 cm? A. 7.4 J B. 5.4J C. 6.1J D. 6.7J E. 4.9J