rg A) 11,3 m/s2 B)5.65 m/s2 C)9.80 m/s3 . 3.77m/s E) 4.90 m/s2 13. Two masses, m
ID: 1870854 • Letter: R
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rg A) 11,3 m/s2 B)5.65 m/s2 C)9.80 m/s3 . 3.77m/s E) 4.90 m/s2 13. Two masses, m and m2, are fixed in position along the x axis, as shown in the figure. Find the x coordinated f a third mass m = 1.00 kg located on the x axis, such that the net gravitational force on it due to mi and m2 is exactly zero. 10.0 kg m- 3.0 kg m, x, = 0.0 x2 = 40.0 cm A) 9.6 cm B)30.4 cm C) 25.8 cm D) 3.6 cm E) 20.0 cm 14. An indoor track is to be designed such that each end is a banked semi-circle with a radius of 24 m. What is the optimal banking angle for a person running at speed v 6.0 m/s? A) 8.70 B) 11° C) 14° D) 220 E) 45 Callisto and lo are two of Jupiter's moons (satellites). The distance from Callisto to the center of Jupiter is approximately 4.5 times farther than the distance from lo to the center low does Callisto's orbital period, Tc, compare to that of lo,Explanation / Answer
that point is x0 then ,
Fnet = F1 + F2
= - G m1 m / (x0 - 0)^2 + G m2 m / (40 - x0)^2 = 0
x0 / (40 -x0) = sqrt(10/3) = 1.826
x0 = 25.8 cm
Ans(C)
14. N cos(theta) = m g
and N sin(theta) = m v^2 / r
tan(theta) = N sin(theta) / cos(theta) = v^2 / r g
theta = tan^-1 [6^2 / (24 x 9.8)]
= 8.7 deg
Ans(A)
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