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Chapter 6: Q6-19Q (page 138)

Describe the energy transformations when a child hops around on a pogo stick (there is a spring inside).

Short Answer

Expert verified

The obtained result is that gravitational potential energy is converted into kinetic energy as it moves downwards, and the spring potential energy transforms into kinetic energy as the spring expands to move up the boy.

Step by step solution

01

Transformation of energy

In this problem, when a child hops around on a pogo stick, and there is a spring in the pogo stick, three types of energy occur.

The types ofenergiesare gravitational potential energy, kinetic energy, and potential energy of spring.

As the child hops on the pogo stick, the potential energy at the top of the hop will be converted into kinetic energy as it moves downwards.

02

Kinetic energy and gravitational potential energy

The spring is attached to the stick, and its potential energy will be collected as it compresses. When the spring expands, this potential energy is transformed into kinetic as well as gravitational potential energy, and this cycle recurs until the child stops hopping.

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Most popular questions from this chapter

Suppose a disk rotates at constant angular velocity. (a) Does a point on the rim have radial and or tangential acceleration? (b) If the disk’s angular velocity increases uniformly, does the point have radial and or tangential acceleration? (c) For which cases would the magnitude of either component of linear acceleration change?

(II) What should be the spring constant k of a spring designed to bring a 1200-kg car to rest from a speed of 95 km/h so that the occupants undergo a maximum acceleration of 4.0 g?

(I) Two railroad cars, each of mass 66,000 kg, are traveling 85 km/h toward each other. They collide head-on and come to rest. How much thermal energy is produced in this collision?

(II) Chris jumps off a bridge with a bungee cord (a heavy stretchable cord) tied around his ankle, Fig. 6–42. He falls for 15 m before the bungee cord begins to stretch. Chris’s mass is 75 kg and we assume the cord obeys Hooke’s law,with If we neglect air resistance, estimate what distance dbelow the bridge Chris’s foot will be before coming to a stop. Ignore the mass of the cord (not realistic, however) and treat Chris as a particle.

FIGURE 6–42Problem 41. (a) Bungeejumper about to jump. (b) Bungee cord at itsunstretched length.(c) Maximum stretchof cord.

A car accelerates from rest to\[30\;{\rm{km/h}}\]. Later, on a highway it accelerates from\[30\;{\rm{km/h}}\] to\[60\;{\rm{km/h}}\]. Which takes more energy, going from 0 to 30, or from 30 to 60?

  1. 0 to\[30\;{\rm{km/h}}\] .
  2. 30 to\[60\;{\rm{km/h}}\].
  3. Both are the same.
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