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A cart of mass m1=0.5 kg moves with a velocity of 0.9 m/s to the right on a frictionless track. It collides with another cart of mass m2=0.1 kg at rest. The carts continue moving together after the perfectly inelastic collision. What is the velocity of each cart after the collision? Show the details of your solution.
An anchor holding a boat stationary on a river forms a 65 degree angle with the river bottom. The anchor line is 40 meters long. Assume the river has a uniform depth, how deep is the river directly below boat.
A blacksmith heats a 1.9 kg iron horseshoe to 480 degree C, then plunges it into a bucket containing 10kg of water at 20 degree C. The specific heat of iron is 447 J/kgK. What is the final temperature.
A bowling ball weighing 71.2 is attached to the ceiling by a 3.50 rope. The ball is pulled to one side and released; it then swings back and forth like a pendulum. As the rope swings through its lowest point, speed of the bowling ball is measured a..
How many electrons must be removed from each of two 4.4-kg copper spheres to make the electric force of repulsion between them equal in magnitude to the gravitational attraction between them?
A man is running at speed c (much less than the speed of light) to catch a bus already at a stop. At t=0, while he is a distance b from the door to the bus, the bus starts moving with the positive acceleration a.
The combined mass of the professor and the chair is 90-kg. He is pushed 2.60-m along the incline by a group of students who together exert a constant horizontal force of 600-N. The professor speed at the bottom of the ramp is 1.75m/s. use the work..
If 40 g of hot water at 80°C is poured into a cavity in a very large block of ice at 0°C, what will be the final temperature of the water in the cavity? Explain how much ice must melt in order to cool the hot water down to this temperature?
A 0.04 kg bullet collides in elastically with a 0.5 kg ballistic pendulum. Before the collision the pendulum was at rest but immediately after collision the pendulum is moving with speed of 13.6 m/s. How fast was the bullet travelling before the coll..
Two objects (39.0 and 23.0 kg) are connected by a massless string that passes over a massless, frictionless pulley, find the acceleration of the objects
A certain car battery with a 12.0 V emf has an initial charge of 115 A·h. Assuming that the potential across the terminals stays constant until the battery is completely discharged, for how various hours can it deliver energy at the rate of 110 W.
A stunt man whose mass is 70kg swings from the end of a 4.50m long rope along the arc of a vertical circle. Assume that he starts from rest when the rope is horizontal, find the tensions in the rope that are required to make him follow his circula..
The label on a 12.0-V truck battery states that it is rated at 219.0 A·h (ampere-hours), How much electric energy can the battery supply and How much charge in coulombs can be pumped by the battery
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