A 2.2kg mass starts from rest at point A and moves along the x-axis subject to potential energy shown in the figure.  Determine the speed of the mass at points B,C and D.

A child of mass m = 27 kg slides down a slide of height h = 2.1 m without friction. Let gravitational potential energy be zero at ground level. Write an expression for the child's total mechanical energy, E, at the top of the slide, in terms of the variables in the problem and the acceleration due to gravity g.  Calculate the change in the child's potential energy, ΔU in joules, from the top to the bottom of the slide at ground level (i.e. ΔU = Uground- Utop).  What is the child's final speed, vf in m/s?

A 8.67 kg8.67 kg particle is subjected to only conservative forces, and its potential energy diagram is shown.   Between points G and K, at what location is the particle moving the fastest? J G K The particle is moving at the same speed at all of the points listed here. I H At point D, the particle has a speed of 14.1 m/s.14.1 m/s. What is the maximum speed ?maxvmax achieved by the particle between points G and K? Assume the points on the graph can be determined to three significant digits. Therefore, the calculated value for maximum speed should contain three significant digits.

On board the starship Serenity, Captain Mal has two boxes connected together by a cord that passes over a massless, frictionless pulley mounted on the ceiling of the storage bay. The first box has a mass of 252.0kg and the second box has a mass of 278.0kg. If the 278.0kg box starts off at rest 2.60m above the ground, find the speed of the box when it reaches the ground. Assume the gravity on Serenity is 9.80m/s2.

Problem 6: A 0.25 kg ball is suspended from a light 1.2 m string as shown. The string makes an angle of 35° with the vertical. Let U=0 when the ball is at its lowest point (0 = 0). What is the gravitational potential energy, in joules, of the ball before it is released? What will be the speed of the ball, in meters per second, when it reaches the bottom? (from Problem 9) Does replacing the ball by a steel sphere of mass 0.75 kg at the end increase the maximum speed? L Otheexpertta.com

At NASA's Zero Gravity Research Facility in Cleveland, Ohio, experimental payloads fall freely from rest in an evacuated vertical shaft through a distance of 132 m. (a) If a particular payload has a mass of 28 kg, what is its potential energy relative to the bottom of the shaft? (b) How fast will the payload be traveling when it reaches the bottom of the shaft? Convert your answer to mph for a comparison to highway speeds.

On Earth with a gravational acceleration g, the potential energy stored in an object varies directly with its mass m and its vertical height h. What is the equations of the potential energy of a 2kg skateboard that is sliding down a ramp?

What is the energy E required to accelerate a 1635 kg car from rest to 25 m/s? E = J Compared to the amount of energy required to accelerate a car from rest to 25 m/s, how much energy is required to accelerate the car from 25 m/s to twice that speed, 5.0 × 10' m/s? the same three times as much twice as much four times as much O O O

A 2.3 kg mass starts from rest at point A and moves along the x-axis subject to the potential energy shown in the figure below. PE 30 J 25 J 20 J 15 J D 10 J 5 J 2 m 4 m 6 m 8 m 10 m (a) Determine the speed (in m/s) of the mass at points B, C, D. (For each answer, enter a number.) point 4.7 m/s В X Is energy conserved? If so, how do you know it is conserved? How does the total energy at A compare to the total point energy at any other point. m/s X Is energy conserved? If so, how do you know it is conserved? How does the total energy at A compare to the total point energy at any other point. m/s