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A spacecraft has been injected into a 1 degree inclination orbit with an perigee radius of 33,300 km and a semi-major axis of 33,400. It has an eccentricity of 0.000012 and an perigee velocity of 3.4649 km/sec. What is its altitude at apogee? What is its angular momentum and specific mechanical energy? What is the orbital period in hours? Equations: a = {(ra + rp)/2} ra = a (1 + e) rp = a (1 - e) p = (b2/a) = a (1 - e2) e = v(1-[p/a]) = v(1-[2eh2/µ2] h = rpvp = rava e = - µ/(2a) P = 2pv(a3/µ) Use: Earth radius = 6378.1363 km Gravitational parameter µ = 3.986012 X 105 km2/sec2
A thin spherical shell of silver has an inner radius of 2.84 x 10 -2 m when the temperature is 24.8 °C. The shell is heated to 138 °C. Discover the change in the interior volume of the shell.
What is the minimum thickness d of dielectric that can be used? For that thickness what is the area of a plate (and of the mica) that must be used?
Displacement d1 is in the yz plane 58.4° from the positive direction of the y axis, has a positive z component of 5.99 m, find the angle between d1 and d2
The apparatus show in firgure P11.8 was used by Joule tomeasure the mechanical equivalent of heat. what is the increase in tempterature of the water
A 33.0-kg packing case is initially at rest on the floor of a 1580-kg pickup truck. Find the magnitude of the friction force acting on the case
A 2.0 kg block is dropped from a height of 0.40 meter onto a spring of force constant k = 1960 N/m. Find the maximum distance the spring will be compressed
Human feet and legs store elastic energy when walking or running. They are not nearly as efficient at doing so as kangaroo legs, but the effect is significant nonetheless. Calculate how far the tendon stretches
A ball of mass 5.0 kg is lifted off the floor a distance of 1.7 m. What is the velocity of ball just before it hits the floor
There is evidence that elephants communicate via infrasound, generating rumbling vocalizations as low as 14 Hz that can travel up to 10 km. The intensity level of these sounds can reach 95 dB, measured a distance of 4.5 m from the source.
A simple pendulum is 6.00 m long. What is the period of small oscillations for this pendulum if it is located in an elevator accelerating upward at 7.00 m/s2
A projectile of mass m is fired from the surface of the earth at an angle a from the vertical, where a = 0.75 radians. Calculate the maximum height that the projectile will reach
A test rocket is fired vertically upward from a well. A catapult gives it an initial speed of 80.6m/s at ground level. Its engines then fire and it accelerates upward at 3.80 m/s2 until it reaches an altitude of 930m. At that point its engines fai..
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