A falling package with a parachute is greatly affected by air resistance. Suppose a package (m - 25 kg), dropped from an altitude of y = 1500 m, hits the ground at a speed of v= 45 m/s. Calculate the work done by air resistance. By conservation of energy, the initial total mechanical energy is equal to the final total mechanical energy. Let K be the kinetic energy. U be the gravitational potential energy, and Wair be the work done by the drag force from air resistance. E1 = E2 K1 + U1 + Wair " K2 + U2 Some of the terms in the equation above are zero so it can be simplified to: + Wair = Isolating the work done by air resistance, we get: Wair = 2 -m Plugging in the values given, the work done by air resistance is: Wair 2.19 k)

A falling package with a parachute is greatly affected by air resistance. Suppose a package (m - 25 kg), dropped from an altitude of y = 1500 m, hits the ground at a speed of v= 45 m/s. Calculate the work done by air resistance. By conservation of energy, the initial total mechanical energy is equal to the final total mechanical energy. Let K be the kinetic energy. U be the gravitational potential energy, and Wair be the work done by the drag force from air resistance. E1 = E2 K1 + U1 + Wair " K2 + U2 Some of the terms in the equation above are zero so it can be simplified to: + Wair = Isolating the work done by air resistance, we get: Wair = 2 -m Plugging in the values given, the work done by air resistance is: Wair 2.19 k)

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Question

A falling package with a parachute is greatly affected by air resistance. Suppose a package (m = 25 kg), dropped from an altitude of y = 1500 m, hits the ground at a speed of v = 45 m/s. Calculate the work done by air resistance.

By conservation of energy, the initial total mechanical energy is equal to the final total mechanical energy. Let K be the kinetic energy, U be the gravitational potential energy, and W_air be the work done by the drag force from air resistance.

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