Question

State Newton’s second law of motion. Give its mathematical expression.​

Answer 1

Newton's second law of motion states that the acceleration of a system is directly proportional to and in the same direction as the net external force acting on the system, and inversely proportional to its mass. In equation form, Newton's second law of motion is a=Fnetm a = F net m .

Newton's second law of motion is F = ma, or force is equal to mass times acceleration. Learn how to use the formula to calculate acceleration.

Hope this helps you,please mark as brainliest.

Answer 2

Statement :

›»› Newton's second law of motion state that, the rate of change of linear momentum is directly proportional to the force applied on (or by) the object$.$

⠀⠀━━━━━━━━━━━━

Mathematical :

As we know that Momentum :

⇛ p = mv

Here,

• m is the mass.
• v is the velocity.

So rate of change of momentum :

⇛ Δp = mv - mu

Here,

• v is the Final velocity.
• u is the Initial velocity.

So rate of change of momentum :

⇛ m(v−u)/t

Also we know Acceleration :

⇛ (v−u)/t

Again ,

⇛ F = ma

Here,

• F is the Force.
• m is the Mass.
• a is the Acceleration.

Thus A can be written as Fα

⇛ m(v−u)/t

⇛ F = kma

Here,

• F is the Force.
• k is the Proportionality constant.
• m is the Mass.
• a is the Acceleration.

Hence from second law of motion we get force is the product of mass and acceleration.

⇛ F = ma

Hence Solved !