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Q1. George of the Jungle, with mass m, swings on a light vine hanging from a stationary tree branch. A second vine of equal length hangs from the same point, and a gorilla of larger mass M swings in the conflicting direction on it. Both vines are horizontal when the primates start from rest at the same moment. George and the gorilla meet at the lowest point of their swings. Each is afraid that one vine will break; as a result they grab each other and hang on. They swing upward together, reaching a point where the vines make an angle of 22.1° with the vertical. Find the value of the ratio m/M.
Q2. A dog pulls on the pillow with a force of 13 N at an angle of 22° above horizontal. Find the x and y components of this force.
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
Estimate the ball's rise in temperature.
The bullet becomes embedded in the block. If the bullet block system compresses the spring by a highest of 84- cm, what was the speed of the bullet at impact with the block.
A steady current 1.5 amps flows in a wire out of the page. A small +4 uc point charge is 5 can away from wire, What is the magnetic force acting in the charge
A simple pendulum consists of a 4kg mass attached to a 3m long rope. At t=0 it is moving to the right at 0.4m/s. What is the angular frequency of the oscillation
A mass-spring system is in simple harmonic motion. It has a spatial frequency F and amplitude A. what fraction of the system energy is kinetic
When the displacement of a mass on a spring is 0.689 of the amplitude of its oscillation, what fraction of the mass's energy is kinetic energy
An adult exerts a horizontal force on a sewing that is suspended by a rope of length L, holding it at an angle x with the vertical. The child in the swing has a weight W and dimensions that are negligible compared to L.
A visible disturbance propagates around a crowded soccer stadium when fans, section by section, jump up and then sit back down
In a Young's experiment using sodium light, lamda=589 nm, the slits are 1.2x10^-6 m wide. You notice that every fourth fringe is missing. how many fringes appear on the screen
A uniformly charged sphere has a potential of 490 V on it's surface. At a radial distance of .24m from this surface the potential is 120 V. What is the radius of the sphere
A high-speed photograph of a club hitting a golf ball is shown in the figure below. find the average force exerted on the ball by the club
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