Physics Problems: Work, Energy, and Forces
A helicopter lifts a 72 kg astronaut vertically from the ocean, calculating the work done by the helicopter and gravitational force, as well as the astronaut's kinetic energy and speed just before reaching the helicopter. Additionally, a block sent up a frictionless ramp's normal force is determined based on its initial speed and kinetic energy as a function of position.
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A helicopter lifts a 72 kg astronaut 15 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/10. How much work is done on the astronaut by (a) the force from the helicopter and (b) the gravitational force on him? Just before she reaches the helicopter, what are his (c) kinetic energy and (d) speed?
A block is sent up a frictionless ramp along which an x axis extends upward. The figure gives the kinetic energy of the block as a function of position x; the scale of the figure s vertical axis is set by Ks = 40.0 J. If the block s initial speed is 4.00 m/s, what is the normal force on the block?
