1. An air boat with mass 3.50 x 102 kg, including passengers, has an engine that

Question

1. An air boat with mass 3.50 x 102 kg, including passengers, has an engine that produces a net horizontal force of 7.70 x 102 N, after accounting for forces of resistance a. Find the acceleration of the air boat. (2 points) b. Starting from rest, how long does it take the air boat to reach a speed of 12.0 m/s? (2 points) c. After reaching this speed, the pilot turns off the engine and drifts to a stop over a distance of 50.0 m. Find the resistance force, assuming it's constant. (2 points) d. How long will the air boat take to come to a complete stop (2 points) 2. An astronaut on a space mission lands on a planet with four times the mass and three times the radius of earth. What is her weight on this planet as a multiple of her earth weight? 4 points) 3. Calculate the acceleration due to gravity on Jupiter. Write your final answer in terms of g' on earth (4 points) Mass and radius of Jupiter is 2 1027kg and 70000km

Explanation / Answer

1) (a) a = F / m = 770N/350kg = 2.2 m/s²
(b) v = at = 12m/s = 2.2m/s² * t t = 5.45 s
(c) v² = 0 = u² + 2as = (12m/s)² + 2a(50m) a = -1.44 m/s²
F = ma = 350kg * -1.44m/s² = -504 N (that is, against)

2) g = (GM/R2)

Then, we are to consider a planet with mass four times that of Earth and radius three times larger. So the g for this planet is:

gplanet = (G(4M)/(3R)2) = 4GM/9R2 = (4/9)(GM/R2), where M and R are the mass and radius of the Earth.

Her weight is (4/9) times the weight on earth.

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