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An airplane flies overhead at a speed of 100 m/s while a child on the ground watches at the angle shown. Express the velocity in terms of its radial and tangential (polar) coordinates.
A 2.3-kg cart is rolling along a frictionless, horizontal track towards a 1.7-kg cart that is held initially at rest. The carts are loaded by strong magnets that reason them to attract one another.
How long will it take a charged 80-μF capacitor to lose 20% of its initial energy when it is allowed to discharge during a 45-Ω resistor?
For a spring-mass oscillator, if you triple the mass but keep the stiffness the same, what numerical factor does the period change? That is, if an original period was T and the new period is bT, what is b? It is useful to write out the expression ..
Determine the number of free electrons per cubic centimeter (and per atom) for sodium from resistance data (relaxation time 3.1 x 10~14 second)
two very long coaxial conducting cylindrical shells have a potential difference 800 v. the inner cylinder has radius
at t 0 two flat slabs each 5 cm thick one at 0 degrees and one at 20 degrees are stacked together and then the
An oscillating LC circuit consisting of a 3.0 nF capacitor anda 3.6 mH coil has a maximum voltage of 4.7 V. What is the maximum charge on the capacitor
A 14 kilogram block is accelerated at 2.5 m/s2 up a frictionless plane inclined at 9.3 degree to the horizontal, with the speed increasing from 11 m/s to 27 m/s. Calculate the change in the block mechanical energy
X-rays having energy of 300 keV undergo Compton scattering from a target. The scattered rays are detected at 37.0 degree relative to the incident rays. Evaluate the energy of the recoiling electron
A 78 g arrow is fired from a bowwhose string exerts an average force of 95 N on the arrow over adistance of 84 cm. What is the speed of the arrow as it leaves the bow
If the exospheric temperature is 1500 K and the hydrogen atom and helium atom densities at 500 km are 10^4 cm^3 and 10^6 cm^3 respectively,
Water flows steadily from an open tank. The elevation ofpoint 1 is 10.0m and the elevation of points 2 and 3 is2.00m. find the discharge rate in cubic meters per second
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