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Q. A string with linear density 2.0 g/m is stretched along the positive x-axis with tension 20 N. One end of the string, at x = 0, is tied to a hook that oscillates up and down at a frequency of 100 Hz with a maximum displacement of 1.0 mm. At t = 0 s, the hook is at its lowest point.
Q. A sailboat is moving across the water at 3.0 m/s. A gust of wind fills its sails and it accelerates at a constant 2.0 m/s2. At the same instant, a motorboat at rest starts its engines and accelerates at 4.0 m/s2. After 3.0 seconds have elapsed, find the velocity of (a) the sailboat, and (b) the motorboat.
A gymnast of mass 56.0 {rm kg} hangs from a vertical rope attached to the ceiling. You can ignore the weight of the rope and assume that the rope does not stretch. Use the value 9.81 {rm m/s^2} for the acceleration of gravity.
What friction torque is necessary to reduce its angular speed from 90.0 {rm rpm} to 45.0 {rm rpm} in a time interval of 32.0 {rm s}.
A parallel beam of light from a He-Ne laser, with a wavelength of 662nm, falls on two very narrow slits 0.050 mm apart. How far apart are the fringes in the center of the pattern if the screen is 2.5m away.
A river flows due east at 1.50 m/s. A boat crosses the river from the south shore to the north shore by maintaining a constant velocity of 15 m/s due north relative to water.
A 17g particle is moving to the left at 24m/s. How much net work must be done on the particle to cause it to move to the right at 40 m/s.
A 755N diver drops from a board 10m above the water's surface. Find out the diver's speed 5m above the water's surface. Then find the diver's speed just before striking the water.
A cube of ice is taken from the freezer at -9.4°C and placed in a 94 g aluminium calorimeter filled with 315 g of water at room temperature of 20°C. The final situation is observed to be all water at 19°C. What was the mass of ice cube.
What magnetic field strength produced by Helmholtz coils
A 1245-N uniform beam is attached to a vertical wall at one end and is supported by a cable at the other end. A W = 1955-N crate hangs from the far end of the beam.
A 2.0 kg ball swings in a vertical circle on the end of an 80cm long string. Calculate the speed, magnitude and direction of acceleration
Jane and John, with masses of 51 kg and 66 kg, correspondingly, stand on a frictionless surface 13m apart. John pulls on a rope that connects him to Jane, giving Jane an acceleration of 0.9m/s2 toward him.
A force acts on a block weighing 45N. The block is initially at rest on a plane inclined at angle θ = 18.0° to the horizontal. The positive direction of x axis is up the plane.
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