Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of one’s birth. The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude of the gravitational force exerted on a 4.20 kg baby by a 100 kg father 0.200 m away at birth (he is assisting, so he is close to the child). (b) Calculate the magnitude of the force on the baby due to Jupiter if it is at its closest distance to Earth, some 6.29×1011m away. How does the force of Jupiter on the baby compare to the force of the father on the baby? Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.)

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39. Astrology, that unlikely and vague pseudoscience, makes much of the position of the planets at the moment of one’s birth. The only known force a planet exerts on Earth is gravitational. (a) Calculate the magnitude of the gravitational force exerted on a 4.20 kg baby by a 100 kg father 0.200 m away at birth (he is assisting, so he is close to the child). (b) Calculate the magnitude of the force on the baby due to Jupiter if it is at its closest distance to Earth, some 6.29×1011m away. How does the force of Jupiter on the baby compare to the force of the father on the baby? Other objects in the room and the hospital building also exert similar gravitational forces. (Of course, there could be an unknown force acting, but scientists first need to be convinced that there is even an effect, much less that an unknown force causes it.)

Formula Sheet and Checklist for Circular Motion and Gravitation
Тopic
Uniform Circular Motion
Definition/Formula
Motion in a circular path with constant speed.
Distance traveled by an object along a circular
path.
Arc length, As
Rotation Angle, AO
As
The Radian
2n radians = 1 revolution = 360°
Linear Velocity, v
Rate of change of arc length with respect to
As
time. v
At
Angular Velocity, w
Rate of change of angle with respectto time.
ω -
At
Relationship between Angular Velocity and
Linear Velocity
Centripetal Acceleration, ac
v = rw
v2
a =
a = rw?
Centripetal Force, F.
mv²
F. =
; F = mrw?
%3D
Inertial Frame of reference
A Frame of Reference moving with constant
velocity.
An accelerating Frame of Reference.
An unrealforce due to a Non-Inertial Frame of
Non-Inertial Frame of reference
Fictitious Force
Reference.
Centrifugal Force
An unreal force due to circular motion.
Coriolis Force
A fictitious force observed froma Non - Inertial
frame of Reference.
Universal Law of Gravitation
m¡m2
F = G
r2
Transcribed Image Text:Formula Sheet and Checklist for Circular Motion and Gravitation Тopic Uniform Circular Motion Definition/Formula Motion in a circular path with constant speed. Distance traveled by an object along a circular path. Arc length, As Rotation Angle, AO As The Radian 2n radians = 1 revolution = 360° Linear Velocity, v Rate of change of arc length with respect to As time. v At Angular Velocity, w Rate of change of angle with respectto time. ω - At Relationship between Angular Velocity and Linear Velocity Centripetal Acceleration, ac v = rw v2 a = a = rw? Centripetal Force, F. mv² F. = ; F = mrw? %3D Inertial Frame of reference A Frame of Reference moving with constant velocity. An accelerating Frame of Reference. An unrealforce due to a Non-Inertial Frame of Non-Inertial Frame of reference Fictitious Force Reference. Centrifugal Force An unreal force due to circular motion. Coriolis Force A fictitious force observed froma Non - Inertial frame of Reference. Universal Law of Gravitation m¡m2 F = G r2
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