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A wagon is rolling forward on level ground. Friction is negligible. The person sitting in the wagon is holding a rock. The total mass of the wagon, rider, and rock is 99 kg. The mass of the rock is 0.28 kg. Initially the wagon is rolling forward at a speed of 0.45 m/s. Then the person throws the rock with a speed of 16 m/s. Both speeds are relative to the ground. Find the speed of the wagon after the rock is thrown
(a) directly forward in one case and
(b) directly backward in another.
Determine the smallest thickness of the shaft if the allowable shear stress is ?allow=150MPa and the shaft is restricted not to twist more than 0.08rad
A car is travelling at 24 m/s while the driver spots a large pothole in the road a distance 35 m ahead. She immediately applies her brakes. If her acceleration is -4.30m/s2, does she manage to stop before reaching pothole? What is the stopping dis..
A small motor draws a current of 1.75 A from a 120.0 V line. It costs $35.81 to operate the motor for 4.00 hrs at $0.0600 /kWh, What is the power output of the motor
A bead with a mass of 0.050g and a charge of 20nC is free to slide on a vertical rod. At the base of the rod is a fixed 10nC charge. In equilibrium, at what height above the fixed charge does the bead rest?
A golf ball (mass = 46 g) is struck by a golf club (mass = 210 g). The club head's velocity, how fast is the ball moving after impact
A gas expands from I to F. The energy added to the gas by heat is 418 J when the gas goes from I to F along the diagonal path. (a) What is the change in internal energy of gas? (b) How much energy must be added to the gas by heat for indirect path..
A three-step cycle is undergone by n moles of an ideal diatomic gas: (1) the temperature of the gas is increased from T_1 to T_2 at constant volume, compute the efficiency of the cycle in terms of T_1 and T_2
You bring a 350-g wrench into the house from your car. The house is 15 C warmer than the car, and it takes 2.52 kJ of energy to warm the wrench by this amount. Find (a) heat capacity of the wrench and (b) specic heat of the metal it's made from.
If air resistance is negligible, using energy considerations alone, how fast must the ball be going after it falls 200 meters.
A block is attached to a ceiling by a spring of force constant k. When pulled down and released, what is the force constant k of the spring
If you place the box on a dolly of mass 4.7 and with coefficient of rolling friction 2.0×10−2, illustrate what horizontal acceleration would that 154 force provide?
A disk with a mass of 37.5kg and a radius of 38.3cm is mounted on a frictionless horizontal axle. A string is wound many times around the disk and then attached to a 56.4kg block. Find the acceleration of the block, assuming that the string does n..
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