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An object is being acted upon by three forces and moves with a constant velocity. One force is 60.0 N along the x-axis, the second is 75.0 N along a direction making a counterclockwise angle of 150.0° with the x-axis. What is the magnitude of the third force?
If the mass of the diver is 84 kg and the board is 1.5 m long, illustrate what is the magnitude of the torque due to gravity on the diving board with a pivot point at the fixed end of the board?
Find out the velocity with which he strikes the water. (Hint: When the diver reaches the water, his displacement is y = -3 m (measured from the board), assuming that the downward direction is chosen as the negative direction.)
A skier, weighing 453 n, is skiing down a slope that has an incline of 29 degrees above the horizontal. Compute the acceleration of the skier (coefficient of kinetic friction between the skis and snow is 0.21)
100 g ball of clay is thrown horizontally with a speed of 13m/s toward a 900g block resting on a frictionless surface. It hits the block and sticks. The clay exerts a constant force on the block during the 7 ms it takes the clay to come to rest re..
A gun shoots bullets that leave the muzzle with a speed of 205m/s. If a bullet is to hit a target 151m away at the level of the muzzle, the gun must be aimed at a point above target.
A trapeze artist swings in simple harmonic motion with a period of 4.2s. The acceleration of gravity is 9.81m/s2. Compute the length of the cables supporting the trapeze.
His arm is 70 cm long and has a mass of 4.0 kg. Evaluate the magnitude of the torque about his shoulder if he holds his arm straight out to his side, parallel to the floor?
The diffraction pattern produced by the aperture is observed on a screen at a distance of 4 m from the aperture. The power density at the centre of diffraction pattern is measured to be 7 W/m2.
A damped mass-spring system oscillates at 165 Hz. The time constant of the system is 2.0 s. At t = 0, the amplitude of oscillation is 7.0 cm and the energy of the oscillating system is then 70 J.
Two carts with masses of 4.80 kg and 2.78 kg move toward each other on a frictionless track with speeds of 4.94m/s and 3.17m/s respectively. The carts stick together after colliding head-on. Find out the final speed.
It is then projected up the same plane with an initial speed 4.40 m/s. Explain how far up the incline will the block move before coming to rest?
A 4.5kg dog stands on an 18 kg flatboat at distance D = 6.10m from the shore. It walks 2.4 m along the boat toward shore and then stops. Assuming no friction between the boat and the water, find how far the dog is then from the shore.
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