An applied force varies with position according to F = k1 x n − k2, where n = 3, k1 = 3.6 N/m3 , and k2 = 76 N. How much work is
1 answer:
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Answer:
<em>a) 3.56 x 10^22 N</em>
<em>b) 3.56 x 10^22 N</em>
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Explanation:
Mass of the sun M = 2 x 10^30 kg
mass of the Earth m = 6 x 10^24 kg
Distance between the sun and the Earth R = 1.5 x 10^11 m
From Newton's law,
F =
where F is the gravitational force between the sun and the Earth
G is the gravitational constant = 6.67 × 10^-11 m^3 kg^-1 s^-2
m is the mass of the Earth
M is the mass of the sun
R is the distance between the sun and the Earth.
Substituting values, we have
F = = <em>3.56 x 10^22 N</em>
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A) The force exerted by the sun on the Earth is equal to the force exerted by the Earth on the Sun also, and the force is equal to <em>3.56 x 10^22 N</em>
b) The force exerted by the Earth on the Sun = <em>3.56 x 10^22 N</em>
1) Weight of the person: 490 N
2) Maximum torque: 245 Nm
Explanation:
1)
The weight of a body is equal to the gravitational force exerted on the body; it is given by the equation
where
m is the mass of the body
g is the acceleration due to gravity
For the person in this problem,
m = 50 kg is the mass
is the acceleration due to gravity on Earth's surface
Therefore, the weight of the person is
2)
The turning force (also called torque) exerted by a force rotating an object is given by
where
F is the magnitude of the force
d is the length of the arm (the distance between the force and the pivotal point)
is the angle between the direction of the force and the arm
For the spanner in this problem,
F = 490 N is the force applied (the weight of the person)
d = 0.5 m is the arm (the length of the spanner)
The maximum torque is obtained when , therefore it is:
Learn more about weight:
About torque:
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