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3. Suppose your mass is 50.0 kg. You step gently off the edge of a high diving p

ID: 1585658 • Letter: 3

Question

3. Suppose your mass is 50.0 kg. You step gently off the edge of a high diving platform, so that you essentially start falling from rest toward the Earth. (Ignore air resistance.)

a.) During your freefall, which force has the greater magnitude? A. the magnitude of the gravitational force of the Earth on you B. the magnitude of the gravitational force of you on the Earth C. neither — they are equal

b.) During freefall, your downward acceleration will have a magnitude of 9.80 m/s2 . At the same time, what is the magnitude of the Earth’s upward acceleration? Show your work.

c.) Reflect on your answer above. As you fall from a high-dive platform, do you fall downward, or does the Earth “fall upward” to meet you? Or both, simultaneously? Based on the accelerations of each body, which one will move farther during the time until impact?)

Explanation / Answer

a) according to newton's third law action = reaction

so the answer is C.neither -they are equal


b) Force on you = Force on earth

m1*a1 = m2*a2

since mass of earth is many times greater than the mass of you,thne

accelaration of earth can be neglected

m1*a1 = m2*a2

50*9.8 = 5.98*10^24*a2

a2 = 8.2*10^-23 m/s^2

C) both simultaniously

since a1>> a2 ,then

person moves farther during the time of impact

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