Scene 6conquering device. The final note was left on the stall of a NASA restroom. The final textKennedy Space CenterNASA was rocked when the entire facility was hit with a bioweapon. Calcuu Paraboloid usedFlorida, USA--CO opportunity to steal a space shuttle Presumably, this is the final piece of nis wOmessage followed.Derore you know it, the Mathemagicians are finally going to conquer the world! For my last puzzie,Mars Rover baseball toss problem!(Vertical Motion Equations: The height H of an object t seconds after it is propelled upward with anIntial velocity v represented by H = -% gt2 + vt + h, where g is the gravitational pull and h is theinitial height.)Suppose a NASA rover on Mars throws a baseball upward with an initial velocity of 10 meters persecond, letting go of the ball 2 meters above the ground. Since the gravity stuff works different onMars, it will take longer for the bal to land, How much longer will the ball stay in the air on Mars? Theanswer to this question rounded to the nearest tenth is equal to A.9.8 m/s23.7 m/s2Acceleration due to gravityVertical Motion EquationWhen does the baseball hitthe ground?a =

For vertical motion:The height H of an object t seconds after it is propelled upward with an initial…

Answered: gt h, where g is the gravitational pull…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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magnitude gravitational force (between a planet with mass 9.00 * 10 ^ 24 and moon, with 2.40 * 10 ^ 22 average distance between their canters 2.10 * 10 ^ 8* m b) ? is the moon's acceleration in m/s^ 2 ) toward the planet(Enter the magnitude. ) m/s^ 2 the planets acceleration (in m/s^ 2 ) the moon?
You are standing on a bathroom scale in an elevator (yes people are staring at you). You weigh 50 kg but the scale reads in Newtons. Weight (force of Gravity) = Mass x Gravity (10m/s2) As the elevator comes up on the ground floor it decelerates at 2 m/s2 downward. What is the Gravitational Force? Since the elevator is decelerating downward does the Normal Force have to be greater than, equal to or less than the Force of Gravity? Are the forces balanced or unbalanced? Draw a free body diagram of the forces acting on you. Be sure to draw the size of your arrows appropriately. What is the Net Force, using Newton’s 2nd Law, while the elevator is decelerating downward? What is the Normal Force? What does the scale read as the elevator is decelerating downward? What pattern did you notice occurred between all of the different scenarios?
The value of g at Earth's surface is about 10m/s2. What is the value of g at a distance of twice Earth's radius?
Gravitational force is F = Gm1m2/r². Set G = 1 and m1 = 1, where m2 will be a planet with 1800 times Earth's mass (so m2 = 1800) and 30 times Earth's radius (so r = 30). What will F be?
The International Space Station, which has a mass of 4.94×105 kg, orbits 258 miles above the Earth's surface, and completes one orbit every 94.3 minutes. What is the kinetic energy of the International Space Station in units of GJ (109 Joules)? (Note: don't forget to take into account the radius of the Earth!) Enter answer here GJ
In the book 2010: Odyssey Two, Chinese astronauts land on Europa, one of Jupiters Moons. Suppose one of these astronauts on Europa drops a tool 2 m above the ground. How long will it take for it to hit the ground? MEuropa = 4.7998×1022 kg, REuropa = 1.561×106
Imagine you travel to a new planet. You drop a ball from the top of your spaceship and measure the velocity of the ball every second. You plot these data on the graph below, Based on this information, what is the gravitational acceleration on this planet? 12 10 8 4 2 4 6 8. 10 12 Time (s) 9.8 m/s? 1.0 m/s? 12 m/s? 2.5 m/s? 00 2. Velocity (m/s)
Problems: 1. A stone is thrown near the surface of a planet and its horizontal and vertical position as a function of time are given as x(t) = 5 + 8t (horizontal) y(t) = 3+ 12t – 8t2 (vertical) where x and y are given in meters and t is in seconds. a) planet in units of mis. by c) d) is 9m. Calculate the magnitude of surface gravitational acceleration of this Calculate the time when the stone is at its maximum height. Calculate the velocity vector at t=1.125s. Calculate the velocity vector when horizontal position of the stone
problem 3
Part A Comets travel around the sun in elliptical orbits with large eccentricities. If a comet has speed 2.1×104 m/s when at a distance of 2.6x1011 m from the center of the sun, what is its speed when at a distance of 4.0×1010 m. Express your answer in meters per second. Πνα ΑΣΦ m/s
Some of the most spectacular objects in the universe are fairly small: neutron stars are spheres with a diameter that's about 10km (they are remnants of old stars). Their spectacular nature is indicated by the fact that they are about as massive as the sun, i.e. 2 x 1030kg. What is the gravitational acceleration on the surface of such an object? Express your result as a multiple of g.
A skater with mass 66 kg is skating on a horizontal surface at a constant speed 4.2 m/s. There is a ramp ahead, and the skater has just enough speed to make it to the top of the ramp (meaning the speed at the top of the ramp is 0 m/s). What is the height of the ramp in the unit of meters? Use g = 10 m/s2 for the acceleration due to gravity.

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