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Q. The Apollo Lunar Module was used to create the transition from the spacecraft to the moon's surface and back. Consider the similar module for landing on the surface of Mars. Use conservation of mechanical energy to answer these questions.
(a) As lander is descending, if the pilot decides to shut down the engine when the lander is at a height of 3.0 m, (this might not be a safe height to shut down the engine) and the velocity of the lander (relative to the surface of the planet) is 1.3 m/s what will be velocity of 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. Assume this to be the case for the Mars lander as well, at what most 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 1.3 m/s.
Find the minimum volume of concrete (y = 23.6 kN/m3) needed to keep the gate (1 m wide) in a closed position; l = 2 m. Note the hinge at the bottom of the gate. Explain briefly.
A crate with mass 35.5 initially at rest on a warehouse floor is acted on by a net horizontal force of 120. What acceleration is produced.
A force vector points at an angle of 50.6° above the +x axis. It has a y component of +280 newtons. Calculate the magnitude of the force vector.
What current is required in the windings of a long solenoid that has 1710 turns uniformly dispersed over a length of 0.547 m in order to produce a magnetic field of magnitude 0.0002 T at the center of the solenoid.
Charge is scattered uniformly throughout a long cylindrical shell of inner radius R and out radius 2R. At what radius is the electric field equal to one-half the value on the outer surface.
Two parallel plates, each with an area of 110, are given equal and opposite charges of magnitude 0.18. The space between the plates is filled with the dielectric material, and the electric field within the dielectric is 0.31.
Ricardo and Jane are standing under a tree in the middle of a pasture. An argument ensues, and they walk away in different directions. Ricardo walks 24.0 in a direction 60.0 west of north. Jane walks 12.0 in a direction 20.0 south of west. They then ..
How to create a condition of weightlessness inside aircraft
How fast must the car be travelling just as it leaves the cliff in order to clear the river and land safely on the opposite side.
Find out the drill's angular acceleration. Determine the angle through which the drill rotates all through this period.
A 1.35 block is attached to a spring with spring constant 14. While the block is sitting at rest, a student hits it with a hammer and almost instantaneously gives it a speed of 50. What are The block's speed at the point where = 0.750 A.
To stretch a relaxed biceps muscle 2.30cm requires a force of 25 N. Find the Young's modulus for muscle tissue assume it to be a uniform cylinder of length 0.24 m and cross-sectional area 51 cm2.
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