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10. If the of an object is great enough and its is small enough then escape spee

ID: 1388752 • Letter: 1

Question

10. If the of an object is great enough and its is small enough then escape speeds may exceed the . This results in a ________________________ 3 11. (a) Given the mass of Jupiter is 190x10^27 kg, and that Jupiter has an equatorial radius of 71,492 km what is the acceleration due to gravity on Jupiter? (b) How much would a 135 lb person weigh on Jupiter (1 kg = 2.2 lb)? 13.AppLy conservation principles to find the initial speed vi of a 10.5 g bullet shot into a 2.55 kg block attached to a spring with a force constant of 245 N/m, given that the max compression of the spring caused by the bullet Is 17.5 cm.

Explanation / Answer

11)

a)

M=1.9*10^27 kg

R=71492 Km

the acceleration due to gravity

g=G*M/R^2

=6.67*10^-11*1.9*10^27/(71492*10^3)^2

=24.79 m/sec

=24.8 m/sec


b)

w=m*g

=(135/2.2)*24.8

=1521.82 N


13)

by using conservation of energy


1/2*m*v^2=1/2*k*x^2

m*v^2=k*x^2

10.5*10^-3*v^2=245*(17.5*10^-2)^2

====>

v=845.33 m/sec