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The cable of the 1400 kg elevator cab in the figure snaps when the cab is at rest at the first floor, where the cab bottom is a distance d = 5.0 m above a spring of spring constant k = 0.24 MN/m. A safety device clamps the cab against guide rails so that a constant frictional force of 2.5 kN opposes the cab's motion.
(a) Find the speed of the cab just before it hits the spring.
(b) Find the maximum distance x that the spring is compressed (the frictional force still acts during this compression).
(c) Find the distance (above the point of maximum compression) that the cab will bounce back up the shaft.
(d) Using conservation of energy, find the approximate total distance that the cab will move before coming to rest. (Assume that the frictional force on the cab is negligible when the cab is stationary.)
A rifle with a barrel length of 56 cm fires a 14 g bullet with a horizontal speed of 350 m/s/s. The bullet strikes a block of wood and penetrates to a depth of 13 cm.
You can ignore air resistance. Explain how far from the point of firing does the other fragment strike if the terrain is level?
The block starts at the top of the wedge at 1.2 m. Find out the final speeds of a block and the wedge once the blook has slid to the bottom.
A uniform disc of mass m and radius R is rigidly mounted coaxially with a lightweight disc of radius r = R/2, to a horizontal shaft, on which combination is free to rotate frictionless. Light strings are wound in opposite directions about the cyli..
A charged object moving with a velocity v = 210 m/s passes through a magnetic field of B = 0.70 T that is oriented at an angle of 350 relative to the velocity. what is the magnitude of the charge on the object
A 650 kg weather balloon is designed to lift a 4600 kg package. What volume should the balloon have after being inflated with helium 0 degrees Celsius and 1 atm pressure to lift the total load.
A force F= (6x - 2y)N acts on a particle that undergoes a displacement delta r= (3x + y)m. Find (a) the work done by the force on the particle and (b) the angle between F and r.
The first active volcano observed outside the Earth was discovered in 1979 on Io, one of the moons of Jupiter. Assume a volcano on another moon is observed to be ejecting material to a height of about 2.19 x10^5 m.
A slide projector needs to create a 96.0 cm high image of a 2.20 cm tall slide. The screen is 301 cm from the slide. find focal length does the lens need
Two point charges 0.606 m apart experience a repulsive force of 0.368 N. The sum of the two charges equals 1.08 10-5 C
The side mirrors on cars are convex mirrors. If the side mirror on the driver side of your car has a focal length with a magnitude of 5.30 m, determine the image distance of the truck
Water flows straight down from an open faucet. The cross-sectional area of the faucet is 2.00 x10-4 m2, and the speed of the water is 0.87m/s as it leaves the faucet.
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