(Figure 1)A roller coaster car may be approximated by a block of mass m. The car, which starts from rest, is released at a height h above the ground and slides along a frictionless track. The car encounters a loop of radius R. as shown. Assume that the initial height his great enough so that the car never loses contact with the track. Figure h < 1 of 1 Part A Find an expression for the kinetic energy of the car at the top of the loop. Express the kinetic energy in terms of m, g, h, and R. ► View Available Hint(s) K= Submit ▶ Part B [5] ΑΣΦ Provide Feedback Request Answer ?

A box of mass 'm' is pushed into a spring with spring constant 'k'. The spring is displaced a total length of Δx, and then we let go of the box. From the work-energy theorem, what is the final velocity of the box after we let go?

Ms. Dewitte's son, Theo, slides down a slide, from rest, with a length of 2.00 m at an incline of 50° above the horizontal. He has a mass of 22.0 kg and he reaches the bottom of the slide with a velocity of 2.90 m/s. Briefly explain if total mechanical energy was conserved and what energy transfers otcurred?

For exercise, an athlete lifts a barbell that weighs 400 N from the ground to a height of 2.20 m at a constant speed in a time of 1.60 s. What is the metabolic power, in kW (kiloWatts)?  Your answer needs to have 2 significant figure, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A child of mass m = 16 kg slides down a slide of height h = 2.7 m without friction. Let gravitational potential energy be zero at ground level. a)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.  b)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).  c)What is the child's final speed, vf in m/s?

On a roller coaster ride the total mass of a cart - with two passengers included - is 268 kg. Peak K is at 43.2 m above the ground and peak L is at 26.0 m. At location K the speed of the cart is 17.2 m/s, and at location L it is 12.5 m/s. (The wheel mechanism on roller coaster carts always keeps the carts safely on the rail.) K How much mechanical energy is lost due to friction between the two peaks? Submit Answer Tries 0/10

The spring in the above figure has a spring constant of K = 140 N/m. A 150 g block is placed against the spring which is then compress to 16 cm. A) When the block is released, how high up the slope does it rise? B) What is the kinetic energy at the highest point? C) What is the potential energy at the highest point?

A motorcyclist drives up a 3.1-meter tall ramp and leaves the ramp with a speed of 42.5 m/s.  If his speed is 37.8 m/s when he reaches the peak of his path, what is the maximum height (in m) above ground that he reaches? (Use energy, not kinematic equations.)

The car C and its contents have a weight of 520 lb, whereas block Bhas a weight of 230 lb. The car is released from rest. (Figure 1) Figure 1of1 > ▾ Part A Determine the car's speed when it travels 30 ft down the 20° incline Suggestion. To measure the gravitational potential energy, establish separate datums at the initial elevations of B and C. Express your answer to three significant figures and include the appropriate units. Value Submit Fequat Arawer < Return to Assignment Units Provide Feedback for Part A keyboard shortcuts for Part A help for Part A

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