Newton’s second law of motion relatesa)change of momentum and velocityb)momentum and accelerationc)Rate of change in force and momentumd)Rate of change in momentum and external forceCorrect answer is option 'D'. Can you explain this answer?

Question

Newton&#8217;s second law of motion relatesa)change of momentum and velocityb)momentum and accelerationc)Rate of change in force and momentumd)Rate of change in momentum and external forceCorrect answer is option 'D'. Can you explain this answer?

Answer

Force, acceleration and momentum

Answer

Acc to 2nd law of motion: F=ma and we also know that: v=u+at so , a=(v-u)÷t on putting the value of a in the 1st eqn we get F=m(v-u)÷t or force = change in momentum ÷ time

Answer

Yes, option D. F=dv/dt

Answer

Newton's 2nd Law of motion states that rate of change of momentum is directly proportional to external force applied.  Hence, it relates rate of change of momentum to external force applied.

Answer

Newton's second law of motion states that the rate of change of momentum of an object is directly proportional to the net external force acting on it, and this change in momentum takes place in the direction of the applied force. Mathematically, this can be expressed as:

$$F = \frac{{\Delta p}}{{\Delta t}}$$

Where:
- F is the net external force acting on the object
- Δp is the change in momentum of the object
- Δt is the time interval over which the change in momentum occurs

Explanation of the Correct Answer:

Rate of Change in Momentum and External Force:

The correct answer, option 'D', states that Newton's second law of motion relates to the rate of change in momentum and external force. This is because the law states that the force acting on an object is directly proportional to the rate of change in momentum. In other words, the force exerted on an object causes a change in its momentum over time.

When an external force is applied to an object, it causes the object to accelerate. According to Newton's second law, the acceleration of an object is directly proportional to the net external force applied to it and inversely proportional to its mass. Mathematically, this can be expressed as:

$$F = m \cdot a$$

Where:
- F is the net external force acting on the object
- m is the mass of the object
- a is the acceleration of the object

From this equation, we can see that the force applied to an object is related to its acceleration, which in turn is related to the rate of change in its velocity. Since momentum is the product of mass and velocity, the rate of change in momentum is directly related to the rate of change in velocity. Therefore, the correct answer is option 'D' - rate of change in momentum and external force.

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