As illustrated, A flat disk with a mass of 1.387 kg slides on a horizontal frictionless surface. The initial velocity of the disk is VA = 2.673 m/s. The disk is attached to a fixed origin (Point O) by an elastic cord with a stiffness of k= 8.112 N/m. In its initial position (Point A), the length of the cord is r₁= 4.309 m. When the disk is located at Point B, the cord is unstretched with a length of r2 = 2.314 m. When the disk is located at Point B, the component of velocity directed towards the origin at Point O (in m/s) is:

Q.2. A block of mass m = 0.5 kg is pushed against a horizontal spring of spring %3D constant k = 450 N/m and negligible mass. The spring is compressed a distance x from equilibrium, and then released from rest. The block travels along a frictionless horizontal surface and reaches point B with a speed vg = 12 m/s. After reaching B, at the bottom of a vertical circular track of radius R = 1 m, the block continues %3D to move up the track. Take g = 10 m/s². The normal force exerted by the track %3D on the block at B is: a. N = 103 N b. N = 77 N c. N = 133 N B. d. N = 67 N

A block of mass 15.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.90 ✕ 104 N/m.The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?

A block of mass 14.0 kg slides from rest down a frictionless 40.0° incline and is stopped by a strong spring with k = 2.30 ✕ 104 N/m.The block slides 3.00 m from the point of release to the point where it comes to rest against the spring. When the block comes to rest, how far has the spring been compressed?

A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?

In starting a game of pinball, the 44.7 g ball rests on a spring, of spring constant k = 18.8 N/m, that has been compressed by 0.0900 m. If the spring is released, how far up the pinball table (which is inclined at 39.0°) does the ball go before rolling back down again? You can assume it doesn't hit any obstacles on the way up.

Two identical springs, both of force constant k=200 N/m, are fixed at opposite ends of a level track. A 5.0 kg block is pressed against the left spring, compressing it by 0.15 m. The block (initially at rest) is then released. The entire track is frictionless except for the section between A and B. Given that the coefficient of friction between block and track is 0.08 and the length of AB is 0.25 m, determine where the block comes to rest, as measured from A. Give the given and solution

A glider with mass m = 0.240 kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 4.70 N/m . You pull on the glider, stretching the spring 0.110 m , and then release it with no initial velocity. The glider begins to move back toward its equilibrium position (x=0). What must the initial displacement of the glider be if its maximum speed in the subsequent motion is to be 2.40 m/s ?

A bowling ball is attached to a 2.91-meter long cable and hung from the ceiling. The cable is kept taut and the ball is raised to an initial height of 1.73 meters above the classroom floor. It is released from rest and allowed to swing as a pendulum. Determine its speed (in m/s) when it is at a height of 1.17 meters above the floor.

A 2.0 kg breadbox on a frictionless incline of angle θ=40° is connected, by a cord that runs over a pulley, to a light spring of spring constant k = 133 N/kg as shown in the figure below.  The box is released from rest when the spring is unstretched.  Assume that the pulley is massless and frictionless.  How far down the incline (in meters) from its point of release does the box slide before momentarily stopping (kinetic energy = zero at this point).  Use g = 10 N/kg.