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The Apollo Lunar Module was used to make the transition from the spacecraft to the moon's surface and back. Consider a similar module for landing on the surface of Mars. Use conservation of mechanical energy to answer these questions.a) As the lander is descending, if the pilot decides to shut down the engine when the lander is at a height of 1.8 m, (this may not be a safe height to shut down the engine) and the velocity of the lander (relative to the surface of the planet) is 1.7 m/s what will be velocity of the lander at impact? Note: g on the surface of mars is about 0.4 times that on the surface of the Earth.b) In the case of the lunar module an impact velocity of 3.0 m/s or less was essential for a safe landing. Assuming this to be the case for the Mars lander as well, at what maximum height could the pilot shut down the engines to ensure a safe landing. Assume the velocity v0 at the time the engine is shut down is 1.7 m/s.
The earth orbits the sun once a year (3.16 x 10^7 s) in a nearlycircular orbit of radius 1.50 x 10^11 m. With respect to the sun,determine the magnitude of the earth’s centripetal acceleration.
A fully equipped astronaut has a mass of 140 kg. If the astronaut has a weight of 675 N standing on the surface of a planet, what is the acceleration due to gravity on this planet?
A uranium nucleus (mass 238 u), initially at rest, undergoes radioactive decay. what is the recoil speed of the thorium nucleus
question a 1100 kg car is moving at a speed of 40.0 ms. a what is kinetic energy of the car? b how much work is
A satellite moves in a circular orbit around Earth at a speed of 4880 m/s. Find the satellite's altitude above the surface of Earth
A double speed trap is set up on a freeway. One police cruiser is hidden behind a billboard, and another is some distance away under a bridge. As a sedan passes by the first cruiser, its speed is measured to be 99.7 mph.
A 14.0 kg block of metal measuring 12.0 cm x 10.0 cm x 10.0 cm is suspended from a scale and immersed in water. find the forces acting on the top and on the bottom of the block
An eagle is flying due east at 8.9 m/s carrying a gopher in its talons. What is the magnitude of the gopher's velocity as it reaches the ground
The length of a string of a pendulum is increased by a factor of9. By what factor has the period of the oscillation changed
A light string can support a stationary hanging load of 24.6 kg before breaking. What range of speeds can the object have before the string breaks
Thermistor calibration problem. Suppose you calibrate a thermistorby inserting it first in ice water, then in boiling water. In icewater, the thermistor reads -32 mV and in boiling water it reads205 mV.
A wheel has an initial angular velocity of (-24rad/s). If it atteins an angular velocity of (3rad/s) in time of 2 min, copmpute the centripetal acceleration
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