A 44-kg girl is bouncing on a trampoline. During a certain interval after leaving the surface of the trampoline, her kinetic energy decreases to 180 J from 450 J. How high does she rise during this interval? Neglect air resistance.
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- A physics teacher had a bowling ball suspended from a very long rope attached to the high ceiling of a large lecture hall. To illustrate his faith in conservation of energy, he would back up to one side of the stage, pull the ball far to one side until the taut rope brought it just to the end of his nose, and then release it. The massive ball would swing in a mighty arc across the stage and then return to stop momentarily just in front of the nose of the stationary, unflinching teacher. However, one day after the demonstration he looked up just in time to see a student at the other side of the stage push the ball away from his nose as he tried to duplicate the demonstration. Tell the rest of the story, and explain the reason for the potentially tragic outcome.A ball is released from a height of 13 m and weighs 85 N. What is the magnitude |Δ?| of the total change in potential energy when the ball falls to the ground? |Δ?| J2. Three blocks with masses m1 = 4.31 kg, m2 = 8.73 kg, and m3 = 17.2 kg, respectively, are attached by massless strings over pulleys without friction, as indicated in the Figure. The horizontal surface exerts a force of friction of 12.5 N on m2. If the system is released from rest, use energy concepts to find the speed of m3, after it moves down by 3.25 m.
- As shown in the figure, a 0.490kg object is pushed against a horizontal spring of negligible mass until the spring is compressed a distance x. The force constant of the spring is 450 N/m. When it is released, the object travels along a frictionless, horizontal surface to point A, the bottom of a vertical circular track of radius R = 1.00 m, and continues to move up the track. The speed of the object at the bottom of the track is va = 12.8 m/s and the object experiences an average frictional force of 7.00 N while sliding up the track. (a) What is x? (b) If the object were to reach the top of the track, what would be it’s speed at that point? (c) Does the object actually reach the top of the track, or does it fall off before reaching the top?A 20kg child is bouncing in a bounce house on his birthday. During a certain interval after the kid leaves the surface of the bounce house, his kinetic energy decreases from 440J to 210J. What vertical distance does the kid go through in the specified interval?12,13
- A pogo stick has a spring with a force constant of 2.50 x 10^4 cm, which can be compressed 10.4cm. What is the maximum height in meters above the compressed position of the spring, can a child jump with the stick using only the maximum elastic potential energy in the spring, if the child and stick have a combined mass of 35 kg?3. Suppose you have an object attached to a bizarre spring, initially located at x = 0, the equilibrium point of the force of the spring on the object is given by F₁ = kx, S where k is a spring constant. (a) You displace the object from x = 0 to ₁ > 0, holding the object steady at the beginning and end. What is the work done by the spring? What is the work done by you? (b) You let go of the spring and observe the object move from location. x₁ to x2. Is x2 less than or greater than ₁? (c) What is the kinetic energy of the object at x2? (d) Is this bizarre spring realistic? Explain.A toy car of mass m is pushed against a spring, compressing it a distance d from its natural rest length. The spring exerts a force F(x) = −(kx + ßx5)ix, where x is the displacement from its equilibrium position at the origin. The car is then released from rest and slides on a table with coefficient of friction µ. (i) What is the car's speed when it reaches the origin? (ii) If the car detaches from the spring when it reaches the origin, derive an equation that could be solved to find the location of the car when it comes to rest (do not solve). Law Application Foooo d m 0 X
- A mass of 3.77 kg is launched straight upward. At some instant later it has lost 62.8 J of kinetic energy. What is the height of the object at that time, relative to its initial elevation? Assume air resistance can be ignored.In the figure, a spring with spring constant k = 180 N/m is at the top of a frictionless incline of angle e = 38°. The lower end of the incline is distance D = 0.92 m from the end of the spring, which is at its relaxed length. A 1.5 kg canister is pushed against the spring until the spring is compressed 0.22 m and released from rest. (a) What is the speed of the canister at the instant the spring returns to its relaxed length (which is when the canister loses contact with the spring)? (b) What is the speed of the canister when it reaches the lower end of the incline? (a) Number UnitšTm/s (b) Number Unitsm/s Click if you would like to Show Work for this question: Open Show Work Question Attempts: Unlimited SAVE FOR LATER SUBMIT ANSWER 10:37 PM ENG e to search 4/4/2021 13) 19home & 7. LEGO 08. 9. E R. YA 35-kg girl is bouncing on a trampoline. During a certain interval after leaving the surface of the trampoline, her kinetic energy decreases to 200 J from 420 J. How high does she rise during this interval? Neglect air resistance.