11. A 178kg astronaut leaves the earth on a spacecraft, and travels 105 times fa

Question

11. A 178kg astronaut leaves the earth on a spacecraft, and travels 105 times farther away from the center of the earth. what is his new weight from the earth compared to his old weight on the earth?
a. 0.016 N
b. 0.16 N
c. 1.60 N
d. 1.70 N
please explain step by step

15. A truck and car begin at rest. The car travels 2,000m/s in 10 minutes and the truck travels 2160 km/hr in 3 minutes
Which has a greater acceleration?
a. the car
b. the trunk
c. both have the same acceleration
please explain step by step

19. What is the maximum distance to which a 1.5 kilowatt motor could push an object weighing 300N in 5s?
a. 0.025m
b. 2.5m
c. 25m
d. 250m
please explain step by step

23. Gravitational force F exists between objects A & B separated by distance R. If the mass of A & B remain the same while the distance R is increased by 100 times, what will happen to the new gravittional force between A & B?
a. decrease by 100 times
b. decrease by 1000 times
c. decrease by 10000 times
d. increase by 100 times
e. increase by 1000 times

please explain step by step

Explanation / Answer

here,

the distance from the center , r' = 105 * r

weight , W = m * g

W = G * Me * m /( r')^2

W = 6.67 * 10^-11 * 5.98 * 10^24 * 178 /( 105 * 6.371 * 10^6)^2 N

W = 0.1586 N = 0.16 N

the new weight on earth is b) 0.16 N

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