A simple pendulum is suspended from the ceiling by means of a string of length 2.41 m. Assume that there is no friction or air resistance. Suppose you were to release the pendulum from rest, starting from an angle of 32.0 degrees with respect to the vertical, as shown. What will be the speed of the pendulum at the instant it swings through its lowest point (that is, when it s momentarily hanging vertically)?

A mother is pushing her little son, Mark, on a swing; The highest point reached by the swing is 1.0 meter and the lowest point is 0.30 meter. Find the maximum speed of Mark while riding on the swing.

A pendulum, 2.0 m in length, is released with a push when the string is at an angle of 25 o from the vertical. If the initial speed of the pendulum is 1.2 m/s, what is its speed at the bottom of the swing?

A 5 kg block starts from rest at point A at the top of a 3 m long frictionless ramp angled at 40° above the horizontal. The block slides down the ramp and enters a rough horizontal surface between point B and point C with a coefficient of kinetic friction of 0.30. The block travels a distance of 1.00 m on the horizontal surface before running into a light spring with a spring constant of 900 N/m. A hitting the spring. 40.0⁰ 1.50 m B 1.00 m 1 k = 900 N/m wwwww Using the work-energy theorem, find the speed of the block at point C right before How far will the block compress the spring before coming to rest?

A spring of spring constant k = 822 N/m is suspended vertically from a ceiling. You attach a 46.0 kg mass to the spring and drop it. What is the speed of the mass when it is 2/3 of the way down to the position where it will momentarily stop?

A 1.6 kg breadbox on a frictionless incline of angle 0 = 35° is connected, by a cord that runs over a pulley, to a light spring of spring %3D constant k = 10O N/m, as shown in the figure. The box is released from rest when the spring is unstretched. Assume that the pulley is massless and frictionless. (a) What is the speed of the box when it has moved 10.7 cm down the incline? (b) How far down the incline from its point of release does the box slide before momentarily stopping, and what are the (c) magnitude and (d) direction of the box's acceleration at the instant the box momentarily stops? (a) Number Unit (b) Number i Unit (c) Number Unit (d) > > >

The string in the figure is L = 112 cm long, has a ball attached to one end, and is fixed at its other end. The distance d from the fixed end to a fixed peg at point P is 87 cm. When the initially stationary ball is released with the string horizontal as shown, it will swing along the dashed arc. What is its speed when it reaches (a) its lowest point and (b) its highest point after the string catches on the peg? L

A simple pendulum of lengthL=0.972m with a bob of mass m=45.8g is pulled aside untilthe bob is at a height L/4 above its equilibrium position. Thebob is then released. Find the speed of the bob as it passesthrough a point where its height is L/7 above its equilibriumposition. What is the angle the pendulum makes with thevertical at this point?

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

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.