(7ots) 8. A car traveling at a steady 20 m\'s rounds an 80-m radius horizontal u
ID: 1787945 • Letter: #
Question
(7ots) 8. A car traveling at a steady 20 m's rounds an 80-m radius horizontal unbanked curve with the tires on the verge of slipping. What is the maximum speed with which this car can round a second unbanked curve of radius 320 m if the coefficient of static friction between the car's tires and the road surface is the same in both cases? (6pts) 9. As a 70-kg person stands at the seashore gazing at the tides (which are caused by the Moon), how large is the gravitational force on that person due to the Moon? The mass of the Moon is 7.35 102 kg. the distance to the Moon is 3.82 10 m, and G-667 x 101 N m2kg2 (6pts) 10. Find the orbital speed of an ice cube in the rings of Saturn. The mass of Saturn is 5.68 x 1026 kg, and use an orbital radius of 1.00 x 105 km. (G-6.67 x 1011 N m2kg2)Explanation / Answer
Solution:
8) Using
=> m*v^2 / r = * m * g
=> v^2 / r = * g
=> 20^2 / 80 = *g
=> = 0.510
Now again ,
=> v^2 / r = * g
= > V^2 = * g * r
=> V^2 = 0.51*9.8*320
=> V = 40 m/s
9) Using F = G * m1 * m2 / r^2
=> F = 6.67 x 10^-11 x 70 x 7.35 x 10^22 / (3.82 x 10^8)^2
=> F = 235.17 x 10^-5 N
=> F = 2.35 x 10^-3 N
10) Using
=> v^2 = G*m / r
=> v^2 = 6.67 x 10^-11 * 5.68 * 10^26 / 10^5
=> v^2 = 37.8856 x 10^10
=> v = 6.15 x 10^5 m/s
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