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1) A cord is used to vertically lower an initially stationary block of mass M = 8.0 kg at a constant downward acceleration of g/2. When the block has fallen a distance d = 4.6 m, find (a) the work done by the cord's force on the block, (b) the work done by the gravitational force on the block, (c) the kinetic energy of the block, and (d) the speed of the block. (Note : Take the downward direction positive) 2) The only force acting on a 3.7 kg body as it moves along the positive x axis has an x component Fx = -3x N, where x is in meters. The velocity of the body at x = 2.6 m is 8.9 m/s. (a) What is the velocity of the body at x = 3.8 m? (b) At what positive value of x will the body have a velocity of 3.4 m/s? 3) A single force acts on a 2.6 kg particle-like object in such a way that the position of the object as a function of time is given by x = 4.3t - 2.3t2 + 3.4t3, with x in meters and t in seconds. Find the work done on the object by the force from t = 0 to t = 9.0 s.
A rope can withstand 1.0 x 10^3 N of tension. If the rope is being used to pull a 10.0-kg package across a c=frictionless surface, what is the greatest acceleration that will not break the rope
A physical pendulum is constructed using a 2 kg object having a moment of inertia of 25.9 kg-m2 about its center of mass. The rotation (suspension) point is 970.5 cm from the center of mass. What is the period of this physical pendulum?
The escape speed from a distant planet is 39 km/s. If the acceleration of gravity on the planet is 14.5 m/s^2, what is the radius of the planet
The distance from the lens system (cornea + lens) of a particular eye to the retina is 1.75 cm. What is the focal length of the lens system when the eye produces a clear image of an object 27.0 cm away?
A huge explosion is heard 69.5 miles away. How long does it take the sound to travel that far
A very light rigid rod with a length of .5m extendsstraight out from one end of a meter stick. Determine the period of oscillation
Four identical charged particles (q = +10.9 µC) are located on the corners of a rectangle as shown in the figure below. The dimensions of the rectangle are L = 56.4 cm and W = 14.9 cm
as an electron moves through a region of space its speed increases from 3.00 106 ms to 7.20 106 ms. the electric force
At a crime scene, the forensic inestigator notes that 7.5-g leadbullet that was stopped in a door-frame apparently meltedcompletely on impact. Assuming the bullet was fired at roomtemperature of 20°C, what does the investigator calculate theminimum m..
An elevator is able to raise 1000kg to a height of 40m in15s. How much work does the elevator do
What is the focal length of this mirror. If the object is 25 cm in front of the mirror, what is the image distance.
An alpha particle (m=6.6 x 10-27) is accelerated by a potential difference of 5000 Volt and then enters a region with a vertical (out of the page) 0.75 T magnetic field. Calculate the speed of the alpha particle
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