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(1) A proton (mass m = 1.67 ✕ 10-27 kg) is being accelerated along a straight...

(1) A proton (mass m = 1.67 ✕ 10-27 kg) is being accelerated along a straight line at 3.4 ✕ 1015 m/s2 in a machine. The proton has an initial speed of 2.4 ✕ 107 m/s and travels 4.1 cm.

(a) What is its speed? (Give your answer to at least four significant figures.)

(b) What is the increase in its kinetic energy?

(2) A helicopter lifts a 82 kg astronaut 20 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/10.

(a) How much work is done on the astronaut by the force from the helicopter?

(b) How much work is done on the astronaut by her weight?

(c) What is the kinetic energy?

(d) What is the speed of the astronaut just before she reaches the helicopter?

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