The Top Thrill Dragster at Cedar Point amusement park in Sandusky, Ohio, is one of the world’s most impressive roller coasters. Wearing only a lap harness in the open air, riders on a 10.5-ton train are accelerated by hydraulic motors on a level track to 120 mph in just 3.8 s. After this, no more power is supplied to the train, and it moves on its own. The train shoots straight up (twisting along the way) along the track to a height of 420 ft, before a straight-down descent. Assume that drag and friction do about –1.2 MJ of work on the train before it reaches the top. Determine the speed of the train moving at the top of the ride. Round the final answer to the nearest whole number.

A gymnast is swinging on a high bar. The distance between his waist and the bar is 1.28 m, as the drawing shows. At the top of the swing his speed is momentarily zero. Ignoring friction and treating the gymnast as if all of his mass is located at his waist, find his speed at the bottom of the swing.

Three different objects, all with different masses, are initially at rest at the bottom of a set of steps. Each step is of uniform height d. The mass of each object is a multiple of the base mass m: object 1 has mass 4.60m, object 2 has mass 2.21m, and object 3 has mass m. When the objects are at the bottom of the steps, define the total gravitational potential energy of the three-object system to be zero. If the objects are then relocated as shown, what is the new total potential energy of the system? Each answer requires the numerical coefficient to an algebraic expression. Each algebraic expression is given using some combination of the variables m, g, and d, where g is the acceleration due to gravity. Enter only the numerical coefficient. (Example: If the answer is 1.23mgd, just enter 1.23) This potential energy was calculated relative to the bottom of the stairs. If you were to redefine the reference height such that the total potential energy of the system became zero, how high…

Marisa pushes a 1.635 kg book across a table, accelerating it at a rate of 2.099 m/s^2 over a time period of 1.891 s. If 2.760 watts of power were used to move the book, what distance does the book travel across the table?

degrees Question 8. A wrecking ball swings at the end of a 11.2-m cable on a vertical circular arc. The crane operator manages to give the ball a speed of 10.1 m/s as the ball passes through the lowest point of its swing and then gives the ball no further assistance. Friction and air resistance are negligible. What speed vf does the ball have when the cable makes an angle of 21.8° with respect to the vertical? Ans: 9.29 m/s the foctort accelerating animals, for it can go from rest to

The Top Thrill Dragster at Cedar Point amusement park in Sandusky, Ohio, is one of the world’s most impressive roller coasters. Wearing only a lap harness in the open air, riders on a 10.5-ton train are accelerated by hydraulic motors on a level track to 120 mph in just 3.8 s. After this, no more power is supplied to the train, and it moves on its own. The train shoots straight up (twisting along the way) along the track to a height of 420 ft, before a straight-down descent. Calculate the kinetic energy of the train after the 3.8-s launch. Round the final answer to two decimal places.

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You can, in an emergency, start a manual transmission car by putting it in neutral, letting the car roll down a hill to pick up speed, then putting it in gear and quickly letting out the clutch. If the car needs to be moving at 3.5 m/s for this to work, how high a hill do you need? (You can ignore friction and drag.)

A physics student ties a ball with a mass 0.30kg to a string which can exert a maximum force of 41 N without breaking. The student swings the ball in a circle with a radius of 0.91 m, slowly increasing the speed until the string breaks. The circle is oriented vertically so that the ball moves up and down while traveling in a circle. What is the speed of the ball as the string breaks?

3. Imagine building a large pendulum by attaching one end of a 3.25-meter-long cable to the ceiling and the other end to a bowling ball that weighs 64.5 N. If you pull the ball to the side, it will swing back and forth in a circular arc. In one experiment you measure the speed of the swinging ball to be 4.25 m/s as it passes through its lowest point (when the cable is vertical). At that moment, find a. the magnitude and direction of the ball's acceleration b. the tension in the cable