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A roller-coaster car may be represented by a block of mass 50.0kg . The car is released from rest at a height h = 57.0m above the ground and slides along a frictionless track. The car encounters a loop of radius R = 19.0m at ground level, as shown. As you will learn in the course of this problem, the initial height 57.0m is great enough so that the car never loses contact with the track. Find an expression for the kinetic energy K of the car at the top of the loop. Express the kinetic energy numerically, in joules. Find the minimum initial height h_min at which the car can be released that still allows the car to stay in contact with the track at the top of the loop. Express your answer numerically, in meters.
1. a spring with negligible mass stretches 34.0 cm when a 144 g gram mass is suspended from it. now inbspsuspend a
A train with a maximum speed of 60 mph travels between two stations 10,000 ft apart. It has an acceleration rate of 4.00 ft/s2 and requires a distance of 1500 ft. to stop from 60 mph. Sketch (a) acceleration-time, (b) velocity-time, (c) displacement-..
Eight identical, non-interacting particles are placed in a cubical box of sides L = 0.2 nm. Find the lowest energy of the system (in electron volts) and list the quantum numbers of all occupied states if (a) particles are electrons and (b) particles..
A cord is used to vertically lower an initially stationary block of mass M = 30 kg at a constant downward acceleration of g/5. Find the kinetic energy of the block
A thin, flat washer is a disk with an outer diameter of 14 cm and a hole in the center with a diameter of 3 cm. What is the electric field on the axis of the washer
A piece of string 5.30 m long has a mass of 15.5 g. What must the tension in the string be to make the wavelength of a 128 Hz wave 120.0 cm.
Find out the moment of inertia of the wheel. Initially the wheel rotates with an angular speed , causing the block to rise with a linear speed = 0.33 .
The New England Merchants Bank Building in Boston is 152 m high. What is the total distance, side to side, that the top of the building moves during such an oscillation
we have a tuning fork with a frequency f resonating in a cavity with an open top of width 2.54cm and a length of 20.4cm at 20 degrees celsius and one atm
A large closed bag of plastic contains 0.10 m3 of an unknown gas at an initial temperature of 10°C and at the same pressure as the surrounding atmosphere, 1.0 atm. How many moles of gas are in the bag
The magnetic flux through a loop of wire is ?B = 5.7 T · m2. what is the smallest possible value for the area of the loop
At a given instant an 56 mH inductor stored an energy of 89 µJ. What is the current in the inductor at this instant
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