10. Conservation of Energy

A slingshot will shoot a 10-g pebble 22.0 m straight up. (b) With the same potential energy stored in the rubber band, how high can the slingshot shoot a 25-g pebble? (c) What physical effects did you ignore in solving this problem?

Tarzan, in one tree, sights Jane in another tree. He grabs the end of a vine with length 20 m that makes an angle of 45° with the vertical, steps off his tree limb, and swings down and then up to Jane's open arms. When he arrives, his vine makes an angle of 30° with the vertical. Determine whether he gives her a tender embrace or knocks her off her limb by calculating Tarzan's speed just before he reaches Jane. Ignore air resistance and the mass of the vine.

The maximum height a typical human can jump from a crouched start is about 60 cm. By how much does the gravitational potential energy increase for a 72-kg person in such a jump? Where does this energy come from?

A slingshot will shoot a 10-g pebble 22.0 m straight up. (a) How much potential energy is stored in the slingshot's rubber band?

A 100 g particle experiences the one-dimensional, conservative force Fx shown in FIGURE P10.60. a. Let the zero of potential energy be at x=0 m . What is the potential energy at x=1.0, 2.0, 3.0, and 4.0 m? Hint: Use the definition of potential energy and the geometric interpretation of work.

A particle moves from A to D in FIGURE EX10.36 while experiencing force F = (6i + 8j) N. How much work does the force do if the particle follows path. (b) ACD. Is this a conservative force? Explain.

A 100 g particle experiences the one-dimensional, conservative force Fx shown in FIGURE P10.60. b. Suppose the particle is shot to the right from x=1.0 m with a speed of 25 m/s. Where is its turning point?

The allowed energies of a simple atom are 0.00 eV, 4.00 eV, and 6.00 eV. c. What wavelengths appear in the atom’s absorption spectrum?

The absorption spectrum of an atom consists of the wavelengths 200 nm, 300 nm, and 500 nm. b. What wavelengths are seen in the atom’s emission spectrum?