Check Your Understanding The U.S. Air Force uses "10gs" (an acceleration equal to 10 x 9.8m/s² ) as the maximum acceleration a human can withstand (but only tot several seconds) aid survive. How much time must the Enterprise spend accelerating if the humans on board are to experience an average at most 10gs of acceleration? (Assume the inertial dampeners are offline.)
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- Please asapPlease solveA satellite moves in a circular orbit aroundthe Earth at a speed of 5.5 km/s.Determine the satellite’s altitude abovethe surface of the Earth. Assume theEarth is a homogeneous sphere of radius6370 km and mass 5.98 × 1024 kg. Thevalue of the universal gravitational constantis 6.67259 × 10−11 N · m2/kg2.Answer in units of km.
- a) Find the surface gravity and escape velocity of a planet with a mass of (6.7× 1023 kg) and a radius of (2.9 × 106 m).b) What is the local acceleration due to gravity of a planet on which a pendulum of length (0.4 m) undergoes (5 oscillations) in (13 s)?c) If the planet from part (b) has a radius of (R = 5 × 106 m), what is the mass of the planet?A mass mm is suspended from a massless spring of natural length 90 cm with the spring constant k=10 Nm-1 and causes the spring to extend by 8.6 cm. Assuming the gravitational field strength g=9.8g, calculate the value of the mass on the spring.MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER (a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of 6.91 km/s, but unfortunately does not have a great enough speed to escape Earth's gravity. What maximum height does the spaceship reach (in m)? Ignore air resistance. 3952535 (b) A meteoroid falls from a height of 1.91 x 107 m above the surface of the Earth. What is the speed (in m/s) when the meteorite hits the Earth? Assume the meteoroid is initially at rest with respect to the Earth. (Note that a meteorite is a meteoroid that makes it to Earth's surface.) 10698.65 X The fall of the meteorite is the time-reversal of the upward flight of the projectile, so it is described by the same energy equation as in part (a). m/s. Need Help? Read It Si
- 12After landing on an unfamiliar planet, a space explorer constructs a simple pendulum of length 49.0 cm. The explorer finds that the pendulum completes 90.0 full swing cycles in a time of 132 s. What is the magnitude of the gravitational acceleration on this planet? Express your answer in meters per second per second. ► View Available Hint(s) gplanet = VE ΑΣΦ ? m/s²Suppose there is a correction term to Newton's law of universal gravitation where the letters have their usual meaning and are given in SI units and, in particular, r is the separation distance between the two masses m1 and m2 and A is some new constant of nature. Find the units of this constant A.