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In old science fiction movies, writers attempted to come up with novel ways of launching spacecraft toward the moon. In one hypothetical case, a screenwriter envisioned launching a moon probe from a deep, smooth tunnel, inclined at 65.0 degree above the horizontal. At the bottom of the tunnel a very stiff spring designed to launch the craft was anchored. The top of the spring, when the spring is unstressed, is 30.0 meter from the upper end of the tunnel. The screenwriter knew from his research that to reach the moon, the 318 kilogram probe should have a speed of at least 11.2 km/s when it exits the tunnel. If the spring is compressed by 95.0 meter just before launch, obtain the minimum value for its force constant to achieve a successful launch? Ignore friction with the tunnel walls and floor.
A car starts from rest and moves along a straight line with an acceleration of a = (3s -1/3) m/s2, where s is in meters. Resolve the car's velocity and position when t = 10 s.
A playground merry-go-round has a disk-shaped platform thatrotates with negligible friction about a vertical axis. how fast will the disk be turning
An aluminum can is filled to the brim with a liquid. The liquid and the can are heated thus their temperatures change by the equal amount. Find the coefficient of volume expansion of the liquid
If a spaceship orbits an asteroid with a radius of 800m, find the asteroid's moment of inertia in orbit
A particular motor can provide a maximum of 110.0 N • m of torque. Assuming that all of this torque is used to accelerate a solid, What angle will it rotate through to do this
a 1280 kg car pulls a 350 kg trailer. the car exerts a horizontal force of 3.6 x 103 n against the ground in order to
Two moles of an ideal monoatomic gas undergo a cyclic process starting from state A at a vol. of 1L and a pressure of 2 atm. Find the total work done by the gas in one cycle
Determine the resulting specific gravity when the three liquids in the containers A, B and C are mixed together.
A moving particle encounters an external electric field that decreases its kinetic energy from 9520 eV to 7060 eV as the particle moves from position A to position B. the electric potential at A is -55.0V and the electric potential at B is +27.0V.
Calculate for a rectangular surface with the vertices (b,a/sqrt(2),0), (0,a/sqrt(2),0), (0,0,a/sqrt(2)), and (b,0,a/sqrt(2)) the vectorial surface element dS (Hint: Find first a suitable parametrization of the surface).
A toroidal solenoid has a mean radius of 14.0 and a cross-sectional area of 3.40 and is wound uniformly with 120 turns. What is the mutual inductance of these coils
a metal sphere of radius r0 0.23 m carries a charge q 0.70 microc. equipotential surfaces are to be drawn for 100 v
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