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An experiment is performed in deep space with two uniform spheres, one with mass 22.0 kg and the other with mass 108.0 kg. They have equal radii, r = 0.35 . The spheres are released from rest with their centers a distance 45.0 m apart. They accelerate toward each other because of their mutual gravitational attraction. You can ignore all gravitational forces other than that between the two spheres.
a) When their centers are a distance 25.0 m apart, find the speed of the 22.0 kg sphere.
b) Find the speed of the sphere with mass 108.0 kg.
c) Find the magnitude of the relative velocity with which one sphere is approaching to the other.
d) How far from the initial position of the center of the 22.0 kg sphere do the surfaces of the two spheres collide?
A person eats a dessert that contains 230 kcal. The skin temperature of this individual is 36° C and that of her environment is 21° C. The emissivity of her skin is 0.85 and its surface area is 1.3 m2. How much time would it take for her to emit the ..
q1. an green hoop with mass mh 2.5 kg and radius rh 0.14 m hangs from a string that goes over a blue solid disk
If the speed of sound is 1100 feet per second and a tuning fork oscillates at 440 cycles per second, what is the wavelength of sound produced.
What was the initial negative charge on one of the spheres, and what was the initial positive charge on the other? (Hint: Use charge conservation and solve for one of the initial charges. You would end up with a quadratic equation. The solutions g..
A transformer on a utility pole operates at an Vp = 8:5 KV rms on the primary side and supplies electric power to a number of nearby houses at Vs = 120 V rms. What is the turn ratio, Np=Ns, of this step-down transformer
A placekicker must kick a football from a point 36.0 m (about 40 yards) from the goal. Half the crowd hopes the ball will clear the crossbar, By how much does the ball clear or fall short of clearing the crossbar
A 1.02 liter flask contains a certain quantity of ideal gas at 315 K. Then an equal number of molecules of the same gas are added to the flask, after which the absolute pressure is 1.60 times its original value. What is a final temperature.
An Automobile engine slows down from 4500 rpm to 1200 rpm in 2.50 s. Calculate (a) its angular acceleration, assumed constant and (b) total number of revolutions the engine makes in this time.
The graph shows the component of a force acting on an object, in newtons, versus the position of the object, in meters. Find the work done by the force
A student at the top of a building throws a ball straight upward with an initial speed v0. How do the final velocities of the balls compare when they reach the ground
You are pushing a 150-kg wooden crate in a straight line a distance of 4.5 m across a wooden floor. The crate is speeding up at 0.22 m/s2. What is the work done by friction on the crate
A 210, 50-cm-diameter turntable rotates on frictionless bearings at 67. A 25 block sits at the center of the turntable. A compressed spring shoots the block thoroughly outward next to a frictionless groove in the surface of turntable.
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