When a chip jumps, the energy comes from the muscles, but also from an elastic protein which is subjected to a compression similar to that of a spring. If a chip, with a mass of 2.0 × 10-7 kg, jumps vertically from a height of 65 mm, and 75% of the energy comes from the elastic protein, determine the initial amount of this energy.
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- A 2.0 kg object is acted upon by a spring force characterized by the function F=-6x, (this means k = -6N/m). The speed of the object at x=3.0 m is 8.0 m/s. Determine the positive value for x where the speed of the object will be 4.9 m/s. Hint: The work done between values of x will be 1/2kx22-1/2kx12. Set this equal to the change in kinetic energy associated with the change in speed.A pogo stick has a spring with a spring constant of 2.5 × 104 N/m, which can be compressed 12.0 cm. To what maximum height from the uncompressed spring can a child jump on the stick using only the energy in the spring, if the child and stick have a total mass of 40 kg?The figure shows an 8.4 kg stone at rest on a spring. The spring is compressed 12 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 30 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? k (a) Number i Units (b) Number i Units (c) Number Units (d) Number Units > > >
- The figure shows an 7.9 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 26 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone-Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point? (a) Number Units (b) Number i Units (c) Number i Units (d) Number i UnitsA spring has a natural length of 0.2350 m and a spring constant of 584 N/m. At what TWO lengths would the spring have a potential energy of 21.4 J? Are both of these lengths feasible?Suppose that 60 J of work is done to stretch a bow a distance of 0.5 m. (a) What is the increase in potential energy of the bow? (b) If the spring constant of the bow is 1200 Nt/m, what distance was the bow stretched?
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