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Q. The 4.00-{rm kg} block in the figure is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended and the tension in the upper string is 83.0 N.How many revolutions per minute does the system make?
Q. A proton moves 3.5 cm parallel to a uniform electric field of E = 250 N/C.
(a) How much work is done by the field on the proton?
(b) What change occurs in the potential energy of the proton?
Four 6.50 kg spheres are located at the corners of a square of side 0.68 m. Calculate the magnitude and direction of the total gravitational force exerted on one sphere by the other three.
A ball on the porch rolls 60 {rm cm} to the porch's edge, drops 40 {rm cm}, continues rolling on the grass, and eventually stops 80 {rm cm} from the porch's edge.
A dare devil is shot out of a cannon at 45.0 degrees to the horizontal with an initial speed of 25.0 m/s. A net is positioned a horizontal distance of 50.0 m from the cannon.
An archer shoots an arrow horizontally at a target 17m away. The arrow is aimed straight at the center of the target, but it hits 59cm lower.
A college campus features a large fountain surrounded by the circular pool. Two students start at the northernmost point of pool and walk slowly around it in opposite directions.
In order to clearly read a book 24 cm away, a farsighted girl needs an image to be 35 cm from her eyes. What focal length is necessary for lens in her eyeglasses.
A parallel beam of light from a He-Ne laser, with wavelength of 644 nm, falls on two very narrow slits 0.05 mm apart. How far apart are the fringes in the center of the pattern on a screen 2.2m away.
A 1000 {rm kg} wrecking ball hangs from a 15 {rm m}-long cable. The ball is pulled back until cable makes an angle of 25.0^circle with the vertical. By how much has the gravitational potential energy of the ball changed .
The Apollo Lunar Module was used to create the transition from the spacecraft to the moon's surface and back. Consider the similar module for landing on the surface of Mars. Use conservation of mechanical energy to answer these questions.
Approximate the position of both peaks 30 years after they were spilled. Estimate the expected future arrival time of both peaks at the water table.
The collar C is moving downward with an acceleration of 1 m/s2. At the instant shown, it has a speed of 2 m/s which gives links CB and AB an angular velocity ωAB = ωCB = 10 rad/s. Determine the angular accelerations of CB and AB at this instant.
The boom in the crane is free to pivot about point P and is supported by the cable that joins halfway along its 18 m length. the cable passes over a pulley and is anchored at the back of crane. the boom has a mass of 1700 kg, distributed evenly an..
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