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Write the formula for, and describe with words, the principle of conservation of

ID: 1535371 • Letter: W

Question

Write the formula for, and describe with words, the principle of conservation of energy. A girl weighs 320 N on the Earth. How much would she weigh on a planet with 4 times the Earth's mass and twice the radius? 80 N 160 N 320 N 640 N 1280 N A model airplane is attached to a rope and is flying with constant speed around the girl holding the other end of the rope. If the rope's length 1 halved, its period of rotation will become A third A half Twice is large Three times as large Nine times as large A ninth Two astronauts, a man and a woman, are taking a space walk far away from any planet- The mass of the man is 96 kg, and the mass of the woman is 54 kg. The woman pushes on the man with a force of 90 N due left of their spaceship. [In your analysis, you may ignore the small gravitational forces caused by the 2 astronauts and their ship.] Determine the magnitude of the force acting on the woman (same as, larger than or smaller than the force acting on the man?). Explain your reasoning. Who moves with the largest acceleration? The man, the woman, or is it the same for both? Explain your reasoning. Who will move with the largest speed at the end of the pushing? Explain your reasoning.

Explanation / Answer

3. total energy of a system will not change.

where total energy is the sum of all energies like kinetic energy, potential energies, thermal energy etc.

4. W = G M m / R^2

W2 / W1 = M2 R1^2 / M1 R2^2

M2 / M1 = 4 and (R1/R2)^2 = (1/2)^2
W2 / 320 = 4/4 = 1

W2 = 320 N

Ans(c)

5. T = 2pi r / v
  
V is constant and r = length of rope.

if r is halved then T will also get halved.