Second Law of Motion Questions in English

(B) The statement is False.
Impulse is defined as the change in momentum of a body, not the rate of change of momentum.
Mathematically, Impulse $(J) = \Delta p = F \times \Delta t$, where $\Delta p$ is the change in momentum.
The rate of change of momentum $(\frac{\Delta p}{\Delta t})$ is equal to the force $(F)$ applied to the body, according to Newton's Second Law of Motion.

(FALSE) The statement is False.
According to Newton's second law of motion,$F = m \times a$.
$1 \ N$ is defined as the force required to produce an acceleration of $1 \ m \ s^{-2}$ in a body of mass $1 \ kg$,not $1 \ g$.
Since $1 \ kg = 1000 \ g$,the force required to accelerate $1 \ g$ $(0.001 \ kg)$ at $1 \ m \ s^{-2}$ is $0.001 \ N$.

(A) The $SI$ unit of force is the $newton$ $(N)$.
According to $Newton's$ second law of motion, $Force = mass \times acceleration$ $(F = m \times a)$.
The unit of mass is $kilogram$ $(kg)$ and the unit of acceleration is $metre$ per $second$ squared $(m/s^2)$.
Therefore, $1 \ N = 1 \ kg \cdot m/s^2$.

(C) According to Newton's $Second$ $Law$ of $Motion$, the rate of change of momentum of an object is directly proportional to the applied unbalanced force in the direction of the force.
Mathematically, if $p$ is momentum, $m$ is mass, and $v$ is velocity, then $p = mv$.
The rate of change of momentum is given by $\frac{dp}{dt} = \frac{d(mv)}{dt} = m \frac{dv}{dt} = ma$.
Since $F = ma$, the rate of change of momentum is equal to the force applied.

(B) According to Newton's second law of motion,the force $F$ acting on a body is given by the product of its mass $m$ and acceleration $a$,expressed as $F = m \times a$.
If the mass $m$ of the body remains constant,the force $F$ is directly proportional to the acceleration $a$ $(F \propto a)$.
If the acceleration is doubled $(a' = 2a)$,then the new force $F'$ will be $F' = m \times (2a) = 2 \times (m \times a) = 2F$.
Therefore,the acting force must be increased by a factor of $2$.

(D) Newton's second law of motion states that the rate of change of momentum of an object is directly proportional to the applied unbalanced force in the direction of the force.
Mathematically,$F = ma$,where $F$ is the force,$m$ is the mass,and $a$ is the acceleration.
Thus,the second law provides a quantitative measure of force.

(A) According to Newton's Second Law of Motion,the force $(F)$ acting on an object is equal to the product of its mass $(m)$ and acceleration $(a)$.
This is expressed by the formula: $F = m \times a$.
Rearranging this formula to solve for acceleration,we get: $a = F / m$.
Since the mass $(m)$ of the object is constant,the acceleration $(a)$ is directly proportional to the net force $(F)$ applied to the object $(a \propto F)$.

(D) $Newton's$ second law of motion states that the rate of change of momentum of an object is directly proportional to the applied unbalanced force in the direction of the force.
Mathematically,$F = ma$,where $F$ is the force,$m$ is the mass,and $a$ is the acceleration.
This law provides a quantitative measure of force,allowing us to calculate the magnitude of force required to produce a specific acceleration in an object of a given mass.