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Starting from rest, a basketball rolls from the top of a hill to the bottom, reaching a translational speed of 2.32 m/s. Ignore frictional losses.
(a) What is the height of the hill? (m)
(b) Released from rest at the same height, a can of frozen juice rolls to the bottom of the same hill. What is the translational speed of the frozen juice can when it reaches the bottom? (m/s)
An object initially at rest explodes in two fragments of masses 2.6 kg and 3.3 kg that move in diametrically opposite directions. find the internal energy of the explosion
Two circus performers, Jack and Jill, whose total mass is 120 kg, start a swing which is 5 m long such that initially the rope attached to their swing makes an angle of 36 degrees with the horizontal.
An airplane needs to reach a velocity of 407 km/h to take off. On a 2000m runway, what is the least acceleration necessary for the plane to take flight.
The electric potential inside a conducting sphere is 245V, and a distance d = 32.0cm from the surface of the sphere, obtain the radius of the sphere
A car is towing a boat on a trailer. The driver starts from rest and accelerates to a velocity of +16.6 m/s in a time of 34.3 s, What is the tension in the hitch that connects the trailer to the car
The amass of the aluminum cylinder is (207.8±0.1)g. Once the cylinder is turned through the numbers of turns as described in Problem 1, Determine the amount of heat that entered the cylinder
Three capacitors are connected in series. The equivalent capacitance of this combination is 2.60, What is the third capacitance (in F)
A diverging lens (f = -12 cm) is located 20 cm to the left of a converging lens (f = 35.0 cm). A 3.00 cm tall object stands to the left of the diverging lens, exactly at its focal point.
An 850g- iron block is heated to 370C and placed in an insulated container (of negligible heat capacity) containing 41.0g of water at 23.0C a).What is the equilibrium temperature of this system? The average specific heat of iron over this temperat..
Two lightweight rods 24 {rm cm} in length are mounted perpendicular to an axle and at 180 ^circ to each other. At the end of each rod is a 480 {rm g} mass. The rods are spaced 42 {rm cm} apart along an axle. The axle rotates at 4.90 rad/s.
A small piece of dust of mass m = 1.50g travels horizontally through an electric air cleaner in which the electric field is 498N/C. The electric force on the particle is equal to weight of the particle.
A heat engine does 180J of work per cycle while exhausting 440J of waste heat. What is the engine's thermal energy
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