A 40.0kg child swings in a swing supported by two chains, each 3.00m long. The tension in each chain at the lowest point is 350N. Find (a) the childs speed at the lowest point and (b) the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)

An ornament of mass 40.6 g is attached to a vertical ideal spring with a force constant (spring constant) of 45.6 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch?

A uniform plank of length 2.00 m and mass 26.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 710–N person is d = 0.500 m from the left end. Answer the 3 boxes below:

A speedboat with a mass of 545 kg545 kg (including the driver) is tethered to a fixed buoy by a strong 32.7 m32.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 13700 N,13700 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m)×?2,(450 kg/m)×v2, where ?v denotes the boat's speed. Ignore any drag force on the cable.

A speedboat with a mass of 505 kg (including the driver) is tethered to a fixed buoy by a strong 29.7 m cable. The boat's owner loves high speed, but does not really want to go anywhere. So the owner revs up the boat's engine, makes a lot of noise, and runs the boat in circles around the buoy with the cable supplying all the necessary centripetal force. When the tension of the cable is steady at 12300 N, with what force is the boat's engine pushing the boat? Different physics textbooks treat drag force somewhat differently and use different formulas. For the present purpose, take the water's drag force on the boat to be (450 kg/m) × v², where v denotes the boat's speed. Ignore any drag force on the cable. force: N & TOOLS x10

A block of mass mA=20kg on an inclined plane and a bucket of mass mbucket=16kg are attached to the ends of a massless string passing through a massless pulley as shown in the figure below. The inclined plane makes an angle of θ=46o with the horizontal and the coefficients of kinetic and static friction are μk=0.21 and μs=0.58. The system is initially at rest and a student starts to fill the bucket with balls, each of whose mass is 100 grams, one at a time until the system starts to move. Determine the number of balls the student placed in the bucket. Take g=9.80m/s2 and please note that the number balls must be an integer!

A 1.5-lb slider is propelled upward at A along the fixed curved bar which lies in a vertical plane. If the slider is observed to have a speed of 10.6 ft/sec as it passes position B, determine (a) the magnitude N of the force exerted by the fixed rod on the slider and (b) the rate v at which the speed of the slider is changing (positive if speeding up, negative if slowing down). Assume that friction is negligible. 29 2.8' Answers: N = Ib i ft/sec?

An ornament of mass 36.9 g is attached to a vertical ideal spring with a force constant (spring constant) of 51.8 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch?