6. The Grand Canyon is 6,093 feet (1857 meters) deep. (Ignore air resistance) If you dropped a rock, how fast would it be going when it lands at the bottom? How long would it take to reach the bottom? a %3D Ax =
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- A rock is thrown upward with a velocity of 12 meters per second from the top of a 24 meter high cliff, and it misses the cliff on the way back down. When will the rock be 5 meters from ground level? Round your answer to two decimal places.The acceleration due to gravity on Earth differs slightly from place to place, depending on topography (e.g., whether you areon a hill or in a valley) and subsurface geology (whether there is dense rock like iron ore as opposed to light rock like saltbeneath you.) The precise acceleration due to gravity can be calculated from data taken in an introductory physicslaboratory course. An object, usually a metal ball for which air resistance is negligible, is dropped and the time it takes to falla known distance is measured. Very precise results can be produced with this method ifsufficient care is taken in measuring the distance fallen and the elapsed time.1. According to Jules Verne, the Nautilus traveled 20000 leagues under the sea. If it took 1082 days to do this, then what was the submarine's average speed in meters per hour? (1 league = 5556 meters)
- The velocity of a free falling object is given V = √√2gh where Vis velocity (in meters per second), g is acceleration due to gravity (in meters per second squared), and h is the distance (in meters) the object has fallen. The value of g depends on which body/planet is attracting the object. If an object his the surface with a velocity of 30 meters per second, from what height was it dropped if you are on Earth where g = 9.81 m/s²?Hi! Please indicate the given, diagram, FBD, and the solution with no shortcuts, Thanks! 6) Four men are competing in an air-racing event using their brand-new aerobatic planes. They took off a thousandfeet above the sea level. Five minutes after the race started, man A is located at (−3î− ĵ− 2k̂) ft, man B at (8î− 5ĵ−4k̂) ft, man C at (−6î− 4ĵ+ 7k̂) ft, and finally man D at (4î− 2ĵ+ 7k̂) ft.a) Express the axes components of A⃗ − B⃗ + C⃗ − D⃗ in terms of unit vectors.b) Calculate letter a’s magnitude.Use a(t) = −9.8 meters per second per second as the acceleration due to gravity. (Neglect air resistance.) A canyon is 600 meters deep at its deepest point. A rock is dropped from the rim above this point. How long will it take the rock to hit the canyon floor? (Round your answer to one decimal place.) __________ sec
- Combining the circular motion with Newton’s Universal Gravitation Law, we have the following formula: ?=√???, rearrange this formula and calculate the mass of Mars in kilograms rounded to 2 significant figures considering the values for the circular speed and distance of 2.14.103 m/s.What is true of centripetal acceleration? Group of answer choices -it changes how fast an object moves around a circle -it is tangent to the circle -it points toward the center of the circle -it keeps an object moving in a uniform circleHow would the acceleration due to gravity change at the peak of Mt. Everest (29000 ft or 8850 m)? How high do you think you would have to be to see a significant difference? Explain.
- What is the escape velocity of the Earth? (Give your answer in km/s.) Me = 5.98x1024 kg; Re = 6.37x106 m. G = 6.67x10-11 N m2/ kg2.Sarah traveled 90 km at a certain speed. In going back, she increased her speed by 10 km/hr. If it took her a total of 10/3 hours, what was her original speed? Explain also. Create an expression to: Sarah traveled 90 km at a certain speed. Create another expression to: In going back, she increased her speed by 10 km/hr. Formula: v = d/tIs projectile motion still valid on a planet that has an acceleration of 199 m/s2? Explain why or why not