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Q. A uniform solid ball of mass M and radius R is hit with a bullet of mass m right at its rim coming in at speed v. Find the final momentum and angular velocity of the ball with the bullet stuck in it and how much energy is lost as heat.
Q. Calculate the free energy DeltaG at 25 ^circ rm C for the nonstandard conditions at point B where the reaction quotient Q is 2.75 times 10^{-5}.
Express your answer numerically in kilojoules per mole.
A potential difference of 81 mV exists between the inner and outer surfaces of a cell membrane. The inner surface is negative relative to the outer surface. How much work is required to eject a positive sodium ion (Na+) from the interior of the ce..
A 54 N crate is suspended from the left end of a plank. The plank weighs 21N, but it is not uniform, so its center of gravity does not lie halfway between the two ends. The system is balanced by a support that is 0.3m from the left end of the plan..
A soccer ball with a mass of 448g bounces off the crossbar of a goal and is deflected upward at an angle of 56.2° with respect to horizontal. Immediately after deflection, the kinetic energy of the ball is 47.70 J. What are the vertical and horizo..
A test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 80.6m/s at ground level. Its engines then fire and it accelerates upward at 3.80 m/s2 until it reaches an altitude of 930m. At that point its engines fai..
If coefficient of kinetic friction between the box and the floor is 0.570, how long does it take to move the box 4.00 m, starting from rest.
As part of a safety investigation, two 1800 cars travelling at 18 are crashed into different barriers. Find an average forces exerted on (a) car that hits a line of water barrels and takes 1.80 to stop, and (b) car that hits a concrete barrier and ta..
An ore car of mass 4 000kg rolls downhill on tracks from a mine. At the end of the tracks, 10 m lower in elevation, is a spring with k = 400 000 N/m. How much is spring compressed in stopping the ore car? Ignore friction.
A 2.00-liter aluminum cylinder at 5°C is filled to the brim with gasoline at the same temperature. If the aluminum and gasoline are warmed to 59°C, how much gasoline spills out.
A spring with spring constant 14 hangs from the ceiling. A ball is attached to the spring and allowed to come to rest. It is then pulled down 3.0 and released. The ball makes 17 oscillations in 16 seconds. What is it the mass of ball.
Coherent light with wavelength of 602 passes by two very narrow slits and the interference pattern is observed on a screen a distance of 3.00 from the slits. The first-order bright fringe is a distance of 4.84 from the center of the central bright..
The distance between two telephone poles is 55.55 m. When a 1.00 kg bird lands on the telephone wire midway between the poles, the wire sags 0.165 m. illustrate a free-body diagram of the bird.
An archer shoots an arrow horizontally at a target 12 m away. The arrow is aimed directly at the center of the target, but it hits 56 cm lower. What was the initial speed of the arrow.
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