PH 20 Unit B Assignment 2 - Part 2

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Gravitation: Physics 20 Unit 2 Lesson 2 Assignment Please choose 5 questions from the multiple choice questions below that require calculations to show all work. You already answered these questions in Part 1, now choose some to show your work for. 7. Suppose a 4.7 x 10 2 kg satellite is orbiting Earth where the gravitational force is 1.5 x 10 3 N. What is the gravitational field strength at this location? Fg=1.5x10^3N M=4.7x10^2kg G=? G=Fg/M G=1.5x10^3N/4.7x10^2kg G=3.2N/kg 8. A 1.5 x 10 15 kg mass is attracted by a 1.2 x 10 14 kg mass at a distance of 1.3 x 10 6 m. What is the gravitational force of attraction between the two masses? M1=1.5x10^15kg M2=1.2x10^14kg G=6.67x10^-11N(m/kg)^2 R^2=1.3x10^6m Fg=? Fg=gm1•m2/r^2 Fg=6.67x10^-11N(m/kg)^2•(1.5x10^15kg)(1.2x10^14kg)/(1.3x10^6m) Fg=7.1x10^6N 9. A 1.2 kg object is attracted by another object at a distance of 1.4 x 10 10 m. If the force of gravitational attraction is 4.7 N, what is the mass of the second object? Fg=4.7N M1=1.2kg R=1.4x10^10m G=6.67x10^-11N(m/kg)^2 M2=?

M2=fg•r^2/g•m1 M2=(4.7)(1.4x10^10m)/6.67x10^-11N(m/kg)^2(1.2kg) M2=1.2x10^21kg 10. When the distance separating two masses, M and m, is 1.2 x 10 10 m, the gravitational force of attraction is 5.0 N. If the mass of M becomes 3M and the separation distance becomes 2.4 x 10 10 m, what will be the force? F=3.75N 11. In Newton’s time, the data available to him indicated that the distance between the centre of Earth to the centre of the Moon was about 60 times the radius of Earth. From this information, what is the gravitational acceleration Earth exerts on the Moon? G=6.67x10^-11N(m/kg)^2 M=5.97x10 R^2=3.822x10^2m g=? g=gm/r^2 g=(6.67x10^-11N(m/kg)^2)( g=2.72x10^-3m/s^2 12. The mass of Mars is 6.42 x 10 23 kg and its radius is 3.38 x 10 6 m. What is the weight of a 70.0 kg student on this planet? G=6.67x10^-11N(m/kg)^2 M1=6.42x10^23kg M2=70.0kg R^2=3.38x10^6m Fg=? Fg=gm1m2/r^2 Fg=(6.67x10^-11N(m/kg)^2)(6.42x10^23kg)(70.0kg)/(3.38x10^6m) Fg=2.6x10^2N 13. In a space shuttle orbiting 6.40 x 10 3 km above the surface of Earth, an astronaut releases a 325 g apple. If the radius of Earth is 6.40 x 10 3 km, what is the acceleration of the apple?

G=6.67x10^-11N(m/kg)^2 M=3.47x10^24kg R^2=( 6.40x10km) + (6.40 x 100m) = 1.28x10^44) x 1000 = (1.28x10 m) I=? I=G•M/r^2 I= (6.67x10^-11N(m/kg)^2)(3.47x10^24kg) /(1.28x10m ) I= 2.45m/s^2 14. A scientist in a special elevator in a research facility on Earth, where [down], is standing on a bathroom scale, calibrated in newtons. The elevator can be given various vertical accelerations. The scientist weighs himself and finds that his weight has apparently doubled. What is the acceleration of the elevator? 10.8m/s^2

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15. A 100.0-kg astronaut is standing on a scale in a rocket. The rocket is leaving the surface of Earth with an acceleration of 9.81 m/s 2 [up]. The gravitational field strength on Earth’s surface is 9.81 N/kg [down]. What is the reading on the scale during liftoff? A. Zero B. 9.81 x 10 2 N [up] C. 9.81 x 10 2 N [down] D. 1.96 x 10 3 N [down] /1 Remember from questions 7 through 15 you need to choose five to show all your work. /15

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