A) 8.11 m/s
For a satellite orbiting around an asteroid, the centripetal force is provided by the gravitational attraction between the satellite and the asteroid:
where
m is the satellite's mass
v is the speed
R is the radius of the asteroide
h is the altitude of the satellite
G is the gravitational constant
M is the mass of the asteroid
Solving the equation for v, we find
where:
Substituting into the formula,
B) 11.47 m/s
The escape speed of an object from the surface of a planet/asteroid is given by
where:
Substituting into the formula, we find:
Answer:
Option D
MA=5
Explanation:
Mechanical advantage is the the ratio of the output force to the input force hence
Substituting 15 inches for the effort arm length and 3 inches for the load arm length then we obtain the mechanical advantage as
Answer:
-5.396Joules
Explanation:
Work is said to be done when a force causes a body to move through a distance and acts in the direction of the force.
Work done = Force × Distance
Given force = mg
Force = 2.20×9.81
Force applied on the string = 21.58N
Distance will be the difference in height = 4.75-5.00
= 0.25m
Negative work done on the pendulum during the first entirely oscillation = 21.58×0.25
= -5.396Joules
Answer:
(a) 5142.86 m
(b) 317.5 m/s
(c) 49.3 degree C
Explanation:
m = 100 kg, Q = 1200 kcal = 1200 x 1000 x 4.2 = 504 x 10^4 J
(a) Let the altitude be h
Q = m x g x h
504 x 10^4 = 100 x 9.8 x h
h = 5142.86 m
(b) Let v be the speed
Q = 1/2 m v^2
504 x 10^4 = 1/2 x 100 x v^2
v = 317.5 m/s
(c) The temperature of normal human body, T1 = 37 degree C
Let the final temperature is T2.
Q = m x c x (T2 - T1)
504 x 10^4 = 100 x 4.1 x 1000 x (T2 - 37)
T2 = 49.3 degree C
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