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Assume that a Mars probe of mass
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- The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?arrow_forwardA skydiver weighing 120kg drops vertically from a jet flying at 4.000m. Assume the force due to air resistance to be proportional to the velocity of the skydiver, with the proportionality constant b1= 20 N⋅sec/m before the cute is opened, and b2= 100 N⋅sec/m after the chute is opened. If the skydiver opens the chute after 60 seconds of free fall, find: a. The total amount of time elapsed between dropping out of the plane and landing. b. The velocity of the skydiver at the instant of landing on the ground.arrow_forwardHow much force must be applied to a 1.8kg ice hockey puck to give it an acceleration of 10 m s-2arrow_forward
- The 550 ft tall wheel has a diameter of 5290 ft. a rde on its one of its 28 passenger cars last 30 minutes, the time it takes the wheel to complete the full rotation. Riders board the passenger cars at the bottom of the wheel. Assume that once the wheel is in the motion it maintains the constant speed for 30 minutes ride and its rotating in a counterclockwise direction. If you were on this ride how high would you be above the ground after 20 minutes?arrow_forwardA 800-lb object is released from rest 600 ft above the ground and allowed to fall under the influence of gravity. Assuming that the force in pounds due to air resistance is - 20v, where v is the velocity of the object in ft/sec, determine the equation of motion of the object. When will the object hit the ground? Assume that the acceleration due to gravity is 32 ft / sec and let x(t) represent the distance the object has fallen in t seconds. Determine the equation of motion of the object. x(t) = Oarrow_forwardExplorers on a small airless planet used a spring gun to launch a ball bearing vertically upward from the surface at a launch velocity of 15 m/sec. Because the acceleration of gravity at the planet’s surface was gs m/sec2, the explorers expected the ball bearing to reach a height of s = 15t - (1/2)gs t2 m t sec later. The ball bearing reached its maximum height 20 sec after being launched. What was the value of gs?arrow_forward
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