Will rate At what height à above the Earth will a satellite moving in a circular

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At what height à above the Earth will a satellite moving in a circular orbit have half the period of the Earth's rotation about its own axis? (The mass of the Earth is 5.97 x104 kg, and the period of the Earth's rotation is 86400 s) 2) Two uniform spheres, each of mass -0.660 kg, are fixed at points A and B. Find the magnitude and direction of the initial accel eration of a uniform sphere with mass m2-0.090 kg if released from rest at point P and acted on only by forces of gravitational attraction of the spheres at d and B s 100em In a physics lab, you attach a 0.300-kg air-track glider to the end of an ideal spring of negligible mass and start it oscillating. The elapsed time from when the glider first moves through the equilibrium point to the second time it moves through that point is 2.00 s. Find the spring's force 3) 2.50 N/m. Its 4) A 450-g hard boiled egg moves on the end of a spring with a force constant initial displacement is 0.400 m. A damping force F- -bvs acts on the egg, and the amplitude of the motion decreases to 0.200 m in 4.0 s. Calculate the magnitude of the damping constant b. 5) You want to find the moment of inertia of a complicated machine part about an axis through its center of mass. You suspend it from a wire along this axis. The wire has a torsion constant of 0.480 N·mrad. You twist the part a small amount about this axis and let it go, timing 129 oscillations in 265 s. What is the moment of inertia you want to find? 6) 12.35. A rock is suspended by a light string. When the rock is in air, the tension in the string is 98 N. When the rock is totally immersed in water, the tension is 29.4 N. When the rock is totally immersed in an unknown liquid, the tension is 21.6 N. What is the density of the unknown 7) 11.38 A brass wire is to withstand a tensile force of 180 N without breaking. What minimum diameter must the wire have? 8) 12.47. A golf course sprinkler system discharges water from a horizontal pipe at the rate of 7175 cm's. At one point in the pipe, where the radius is 3.78 cm, the water's absolute pressure is 2.7 x 10 Pa. At a second point in the pipe, the water passes through a constriction where the radius is 1.89 cm. What is the water's absolute pressure as it flows through this constriction?

Explanation / Answer

2] Acceleration = gravity at that point

= 2*Gm1/r^2 *6/10 , because the left and right component will be cancelled and downward will be added up.

= 2*6.67e-11*0.660/0.10^2 *6/10

= 5.28*10^-9 m/s^2 downward Answer

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