Question

Write the equivalent formulas for velocity, acceleration, and force using the relationships covered for UCM, Newton’s Laws, and Gravitation.

Answer 1

The newton’s second law is F=ma

The Gravitational force is
`F=(Gm_(1)m_(2))/(r^2)`

Step-by-step explanation:

Given that,

The equivalent formulas for velocity, acceleration, and force using the relationships covered for UCM, Newton’s Laws, and Gravitation.

We know that,

Velocity :

The velocity is equal to the rate of position of the object.

`v=(dx)/(dt)`....(I)

Acceleration :

The acceleration is equal to the rate of velocity of the object.

`a=(dv)/(dt)`....(II)

Newton’s second Laws

The force is equal to the change in momentum.

In mathematically,

`F=(d(p))/(dt)`

Put the value of p

`F=(d(mv))/(dt)`

`F=m(dv)/(dt)`

Put the value from equation (II)

`F=ma`

This is newton’s second laws.

Gravitational force :

The force is equal to the product of mass of objects and divided by square of distance.

In mathematically,

`F=(Gm_(1)m_(2))/(r^2)`

Where, m₁₂ = mass of first object

m= mass of second object

r = distance between both objects

Hence, The newton’s second law is F=ma

The Gravitational force is
`F=(Gm_(1)m_(2))/(r^2)`