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4. You've signed up for a trip to Mars. After being cooped up in the tight space capsule for months, you are very excited to finally arrive and take a standing leap straight upward. Assume that your are generating maximal muscle force (Fm = 2 WEarth), that you are crouching 0.5 m and that the gravitational acceleration on Mars is gMars = gEarth / 2.63 . How high will you jump? please show all work step by step.
A 2 kg rock is released from rest at a height of 29 m. neglect air resistance and determine the kinetic energy, gravitational potential energy, and total mechanical energy at each of the following heights: 20m; 15m; 5m; 9m.
A uniform plank of length 4.30 m and weight 226 N rests horizontally on two supports, with 1.10 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 437 N walk on overhanging part of the plank be..
A satellite is in a circular orbit around an unknown planet. The satellite has a speed of 1.60 104 m/s, What is the orbital speed of the second satellite?
0.75 kg block of ice is sliding by you on a very slippery floor at 2.5 m/s. As it goes by, you give it a kick perpendicular to its path. Your foot is in contact with the ice block for 0.003 seconds. The block eventually slides at an angle of 22 de..
An aquarium filled with water (n=1.33) has flat glass sides whose index of refraction is 1.52. What is the critical angle from the glass to the water
As light with a frequency of 4.286 x 10^14 Hz passes from air into a diamond, its speed v is 0.413 time in air is the same as the speed in vacuum which c= 3.0 x10^8, Calculate the value of wavelenghth of the light in air
You travel to an alien planet. The local population tries very hard to tell you what gravity is on the surface. You cannot understand them, and do not have a tool to calculate gravity directly. You also ran out of water. They offer a liquid to you, o..
What is the total negative charge, in coulombs, of all the electrons in a small 1.05{\rm g} sphere of carbon? One mole of C is 12.0{\rm g} , and each atom contains 6 protons and 6 electrons.
the distance between the object and the eyepiece of a compound microscope is 18 cm. what is the total magnification of the microscope
A typical red blood cell subtends an angle of only 1.91E-5 rad while viewed at a person's near-point distance of 25cm. Assume a red blood cell is examined with a compound microscope in which the objective and eyepiece are separated by a distance o..
A 145 g copper bowl contains 205 g of water, both at 20°C. A very hot 300 g copper cylinder is dropped into the water, causing the water to boil, with 5.40 g being converted to steam.
Given a capacitor whose plates measure 15cm by 3.7 cm and are separated by a 2.2mm air gap. Calculate he maximum amount of energy which can be stored in the capacitor under these conditions
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