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Q1. If the ultimate shear strength of steel is taken to be 2.50 x 10^9 Pa, what force is required to punch through a steel plate 2.20 cm thick? Suppose the superhero's fist has cross-sectional area of 8.00 x 10^1 cm2 and is approximately circular.
Q2. Two heavy pendula of mass m are suspended from strings of length l inside a railroad car of mass M that can roll freely on horizontal tracks (ignore the moment of inertia of the wheels).
a) Write down the Lagrangian for the three degree of freedom in the problem.
b) Use momentum conservation to eliminate one of the degree of freedom and rewrite Lagrangian accordingly.
c) Find out the frequencies of the normal modes.
An airtight box has a removable lid of area 1.00 10-2 m2 and negligible weight. The box is taken up a mountain where the air pressure outside the box is 7.00 104 Pa. The inside of the box is completely displaced. What is the magnitude of the force es..
Phonology: All the data for this problem come from a conservative dialect of Vèneto, a Romance language spoken in northern Italy near the city of Padua.
A car is travelling with a velocity of + 88.0 km/h. It accelerates at a constant rate of 20 m/s2. If the acceleration lasts for 5.6s, what is the final velocity of the car.
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Two charged bodies exert the force of .145N on each other. If they are moved so that they are one fourth as far apart, what force is exerted.
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An aging coyote cannot run fast enough to catch a roadrunner. He purchases on eBay a set of jet-powered roller skates, which provide a constant horizontal acceleration of 15.0 m/s2. The coyote starts at rest 70.0 m from the edge of a cliff at the ins..
Compute the index of refraction of the gas
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