Question 1) Let\'s think about Newton\'s Laws of Motion and how they work and ho

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Question 1) Let's think about Newton's Laws of Motion and how they work and how they apply to various objects on Earth and throughout the solar system. A) I am minding my own business bicycling home from class and someone hits me with their car while texting. How much force does the car feel from my bike and how much force does my bike feel from the car? Include one of Newton's Laws as proof in your answer. B) How much effect does the force from A have upon my bike, and how much effect does the force from A have upon the car? of Newton's laws as proof in your answer. C) How much gravitational force does Earth feel from the moon and how much gravitational force does the moon feel from Earth AND why is it that the moon orbits Earth? Include one

Explanation / Answer

A) According to Newton's third law of motion, every action has an equal and opposite reaction. So, the bicycle feels the force of its own motion when it hits the car and the car feels the force of its own motion when it hits the bicycle.

B) According to Newton's Second Law of Motion, which gives the measurement of force, Force = mass * acceleration.

Thus, the bicycle feels the effect of a force equal to the product of the mass and acceleration of the moving car. The car is feels the effect of a force equal to the product of the mass and acceleration of the moving bicycle.

Derivation:

According to Newton's Second Law of Motion, the rate of change of linear momentum of a body is directly proportional to the applied external force and in the direction of force. If the body has a mass m and it is moving with velocity v, then momentum (p)= m*v

According to the law, F varies dp/dt

F= k*dp/dt

F = k * d(mv)/dt

F= km d(v)/dt

F = kma

Considering k=1 as it is constant,

F=ma

Thus, proved.

C) The gravitational force on Earth on moon and moon on Earth are equal. The formula was deduced by Sir Issac Newton as

F = G m1m2/ r2

Here, G is the universal gravitational constant.

m1, m2 - mass of earth and moon

r- distance between earth and moon

F- Gravitational force.

The moon orbits around the earth because the of the force of gravity between them and because the earth is larger than the moon. Thus, the Earth pulls the moon towards itself.

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