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Sand from a stationary hopper falls onto a moving conveyor belt at the rate of dm/dt = 5 kg/s as shown. The conveyor belt is supported by frictionless rollers and moves at a constant speed of v = 0.75m/s under the action of a constant horizontal external force ~Fext supplied by the motor that drives the belt.
a. Find the sand's rate of change of momentum in the horizontal direction.
b. Find the force of friction exerted by the belt on the sand.
c. Find the power required by ~Fext.
A spring of constant 290 N/m is used to launch a 1.2 kg block along a horizontal surface whose coefficient of sliding friction is 0.27
An object is in front of a converging lens with a focal length of 11.0 cm. The lens produces a real image located 25.0 cm from the lens. what is the image distance of the new lens
A person of mass 75 kg stands at the center of a rotating merry-go-round platform of radius 3 m, Calculate the rotational kinetic energy of the system of platform plus person before and after the person's walk
a 245 kg person lays on board that is supported only on the ends and that has a mass of 12.0 kg. if the person and the
Chameleons catch insects with their tongues, that they can rapidly extend to great lengths. In a typical strike, the chameleon's tongue accelerates at a remarkable 250 m/s^2 for 20 {rm ms}, then travels at constant speed for another 30 {rm ms}.
A rocket is fired straight upward from rest with an acceleratrion of 5 m/s^2. It maintains acceleration until it is 1300 m above the ground, What is the Rocket's velocity, Find the total amound of time the rocket is in the air
What fraction of the power radiated by the sun is intercepted by the planet Mercury? The radius of Mercury is 2.44 x 106 m, and its distance from the sun at the moment is 5.75 x 1010 m. presume that sun radiates uniformly in all directions.
If air resistance is negligible, using energy considerations alone, how fast must the ball be going after it falls 200 meters.
Two kids are on a merry-go-round. The boy, located 3m from the center of the merry-go-round, is feeling a centripetal acceleration of 2 m/s2. What is her centripetal acceleration
In the August 1992 space shuttle fight, only 250 m of the conducting tether could be let out. What was the angle between the shuttle's velocity and the Earth's field, assuming the conductor was perpendicular to the field
A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.860 m/s encounters a rough horizontal surface of length scripted l = 0.65 m, Find the net work done on the crate while it is on the rough surface
a 19.2 kg sled is being pulled across a horizontal surface at a constant velocity. determine the coefficient of kinetic friction
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