Question

1. State Newton's second law of motion and derive the relation between dyne and Newton.

2. Give an example of an unbalanced and a balanced force. ​

Answer 1

Answer:

1. Newton's Second Law Of Motion states that "The rate of change of momentum of a body is directly proportional to the net external force applied on it and the change in momentum takes place in the direction in which the force is applied."

Relationship between Newton and Dyne :

1 Newton = 10^5 Dynes

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Answer 2

Answer:

(1). The Newton and Dyne are the units representing force. A Newton is a derived unit for force followed under the International System of Units (SI Units). A dyne is also the derived unit of force followed under Centimeter-Gram-Second (CGS) units system. The relation between newton and dyne is crucial in solving problems.

Newton And Dyne

The units for force Newton and Dyne relation can be mathematically expressed as-

1 newton = 10⁵ dyne

1 newton = 10⁵ dyne1 dyne = 10-⁵ newton

1 newton :- The force necessary to course an acceleration of 1 m/s² in an object of mass 1 kg = 1N

= 1kg×1m/s²

= kg.m/s²

1 dyne :- The force necessary to course an acceleration of 1 cm/s² in an object of mass 1 gram.

= 1g × 1cm / s²

= 1g × 1cm / s²= g.cm/s²

Relation between newton and dyne derivation,

We know, that Both are units of force in two different systems. Thus,

we can start with a definition-

One newton is the force necessary to course an acceleration of 1 m/s² in an object of mass 1 kg.

Mathematically written as-

1N=1kg×1m/s²

⇒ 1000 g ×100cm/s²

⇒1000×100×g×m/s²

⇒105 g cm/s²

Thus, we arrive at the final expression relating newton and dyne –1 newton = 105 dyne

(2). Any push or pull is a force. To describe a force, you must know two things. You must know the size of the force and the direction of the force. Suppose two teams are playing tug of war. Each team is pulling with equal force, but in opposite directions. Neither team can make the other team move. Forces that are equal in size but opposite in direction are called balanced forces.

Balanced forces do not cause a change in motion. When balanced forces act on an object at rest, the object will not move. If you push against a wall, the wall pushes back with an equal but opposite force. Neither you nor the wall will move. Forces that cause a change in the motion of an object are unbalanced forces.

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