A jumper with a leg stiffness of 38000 N/m exerts a peak force of 4360 N. What was the center of mass displacement during the eccentric phase of the jump? If all of the strain energy was converted to kinetic energy, but no other energy was added, how high would the person have jumped if their mass was 75 kg?

A jumper with a leg stiffness of 38000 N/m exerts a peak force of 4360 N. What was the center of mass displacement during the eccentric phase of the jump? If all of the strain energy was converted to kinetic energy, but no other energy was added, how high would the person have jumped if their mass was 75 kg?

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter7: Conservation Of Energy

Section: Chapter Questions

Problem 45P: A small block of mass m = 200 g is released from rest at point along the horizontal diameter on the...

See similar textbooks

Similar questions

A giant swing at an amusement park consists of a 365-kg uniform arm 10.0 m long, with two seats of negligible mass connected at the lower end of the arm (Fig. P8.53). (a) How far from the upper end is the center of mass of the arm? (b) The gravitational potential energy of the arm is the same as if all its mass were concentrated at the center of mass. If the arm is raised through a 45.0 angle, find the gravitational potential energy, where the zero level is taken to be 10.0 m below the axis, (c) The arm drops from rest from the position described in part (b). Find the gravitational potential energy of the system when it reaches the vertical orientation. (d) Find the speed of the seats at the bottom of the swing.
A small block of mass m = 200 g is released from rest at point along the horizontal diameter on the inside of a frictionless, hemispherical bowl of radius R = 30.0 cm (Fig. P7.45). Calculate (a) the gravitational potential energy of the block-Earth system when the block is at point relative to point . (b) the kinetic energy of the block at point , (c) its speed at point , and (d) its kinetic energy and the potential energy when the block is at point . Figure P7.45 Problems 45 and 46.
To develop muscle tone, a woman lifts a 2.00-kg weight held in her hand. She uses her biceps muscle to flex the lower arm through an angle of 60.0°. (a) What is the angular acceleration if the weight is 24.0 cm from the elbow joint, her forearm has a moment of inertia of 0.250kg-m2 and the net force she exerts is 750 N at an effective perpendicular lever arm of 2.00 cm? (b) How much work does she do?
A block is placed on top of a vertical spring, and the spring compresses. Figure P8.24 depicts a moment in time when the spring is compressed by an amount h. a. To calculate the change in the gravitational and elastic potential energies, what must be included in the system? b. Find an expression for the change in the systems potential energy in terms of the parameters shown in Figure P8.24. c. If m = 0.865 kg and k = 125 N/m, find the change in the systems potential energy when the blocks displacement is h = 0.0650 m, relative to its initial position. FIGURE P8.24
Jane, whose mass is 50.0 kg, needs to swing across a river (having width D) filled with person-eating crocodiles to save Tarzan from danger. She must swing into a wind exerting constant horizontal force F, on a vine having length L and initially making an angle with the vertical (Fig. P7.81). Take D = 50.0 m, F = 110 N, L = 40.0 m, and = 50.0. (a) With what minimum speed must Jane begin her swing to just make it to the other side? (b) Once the rescue is complete, Tarzan and Jane must swing back across the river. With what minimum speed must they begin their swing? Assume Tarzan has a mass of 80.0 kg.
rrrA solid spherical jewel rolls smoothly from rest down a ramp. The jewel descends a vertical height of 1.2m to reach the bottom of the ramp. The previous question asked "What is the jewel's speed at the bottom of the ramp?" Hint: This problem has nothing to do with elasticity as we did not formally cover that topic. All elastic energy terms are zero. List all terms that had a value of zero
Mass blocks m1=3.40 kg and m2=8.50 kg are initially tied by a light string with a compressed spring in between. They sit on a smooth horizontal plane, After the string is cut, block m2 moves at 2 m/s to the right. (a)What is the potential energy stored in the spring before the string is cut? Answer: (b)How much does the center-of-mass of the two block system move in 4.30s counting from the moment the tie is cut? Answer: m. 2.00 m/s m2 m2 m1 m1 Before After
How much gravitational potential energy (relative to the ground on which it is built) it's stored in an Egyptian pyramid given its mass is about 5×10^9 kg end it center of mass is 24.0 M above the surrounding ground ? j ? part (b) what is the ratio of this energy to the daily food intake of a person ( 1.2x10^7j) ? :1 ? I used the ^ to show exponent
An object of mass m is initially held in place at radial distance r = 3RE from the center of Earth, where RE is the radius of Earth. Let ME be the mass of Earth. A force is applied to the object to move it to a radial distance r = 4RE, where it again is held in place. Calculate the work done by the applied force during the move by integrating the force magnitude.
Q12. The two tugboats each exert a constant force F = 20 N on the ship as shown in FigureQ12 These forces are always directed perpendicular to the ship's centerline. If the ship has amass m and a radius of gyration about its center of mass G of kG, determine the work done ofthe ship after it turns 80°. The ship is originally at rest. Where d = 6 m.
A swift blow with the hand can break a pine board. As the hand hits the board, the kinetic energy of the hand is transformed into elastic potential energy of the bending board; if the board bends far enough, it breaks. Applying a force to the center of a particular pine board deflects the center of the board by a distance that increases in proportion to the force.Ultimately the board breaks at an applied force of 800 N and a deflection of 1.2 cm.a. To break the board with a blow from the hand, how fast must the hand be moving? Use 0.50 kg for the mass of the hand.b. If the hand is moving this fast and comes to rest in a distance of 1.2 cm, what is the average force on the hand?
A 0.50-kg object moves in a horizontal circular track with a radius of 2.5m. An external force of 3.0N, always tangent to the track, causes the object to speed up as it goes around. The work done by the external force as the mass makes one revolution is: 0. 47J 59J 94J O 122J