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Part A. Determine the period of a 1.9-m-long pendulum on the Moon, where the free-fall acceleration is 1.62 m/s2. Express your answer to two significant figures and include the appropriate units.
Part B. Define the equation for the period of an object attached to a spring. Assume the mass of the object is m and a spring constant is k.
Part C. A 500-kg ball at the end of a 30-m cable suspended from a crane is used to demolish an old building. If the ball has an initial angular displacement of 10o from the vertical, determine its speed at the bottom of the arc. A pendulum swings with amplitude 0.02 m and period of 2.0s.
Part D. What is its maximum speed? Express your answer to two significant figures and include the appropriate units.
Part E. The position of a vibrating object changes as a function of time as x=(0.17m)cos(Πs-1)t. Write an expression for the velocity as functions of time. Express your answer in terms of t and appropriate constants.
The force on a particle is directed along an x axis and given by F = 0.97(x/4.6 - 0.52) where x is in meters and F is in Newtons. Find out the work done by the force in moving the particle from x = 0 to x = 8.9 m.
A tungsten target is struck by electrons that have been accelerated from rest through a 62.0-kV potential difference. Find the shortest wavelength of the radiation emitted
Ellen and Angela each have a mass of 45 kg, and they are moving together with a speed of 10.0 m/s. What is their combined kinetic energy? What is the ratio of their combined mass to Ellen’s mass?
a particle moves on the x axis attracted toward the origin o on itwith a force proportional to its instantaneous
A 60.0kg swimmer stands at the edge of a 200kg boat that is motionless on the water of a lake. calculate the velocity of the boat if friction between the boat and the water is neglected
Light travelling through air enters a certain liquid at an angle of incidence of 43 degrees. What is the index of refraction of the liquid
A 28kg rock approaches the foot of a hill with a speed of 15 m/s. Use energy conservation to find the max height above the foot of the hill reached by the rock
The length of the B string on a certain guitar is 62.0 cm. It vibrates at a fundamental frequency of 246.0 Hz. what should the tension be when the string is in tune
A race driver has made a pit stop to refuel. After refueling, he starts from rest and leaves the pit area with an acceleration whose magnitude is 5.5 m/s2; Find how much time is required for the entering car to catch up with the other car
A tree falls on a bicycle path 40 m ahead of a cyclist traveling at 16 m/s, how far from the fallen tree will she be when she stops
Their masses and initial velocities are the same as in that problem. Find their common final velocity. Compare the initial and final kinetic energies.
Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot reach one another. What is the area left ungrazed by the horses
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