A constant force F acts on two different mass | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Given that a constant force $F$ acts on mass $m_1$,the acceleration is $A_1 = \frac{F}{m_1}$,which implies $m_1 = \frac{F}{A_1}$.Similarly,for mas

Vedclass · Accepted Answer

$\frac{A_1 A_2}{A_1 + A_2}$

Vedclass · Answer

(C) Given that a constant force $F$ acts on mass $m_1$,the acceleration is $A_1 = \frac{F}{m_1}$,which implies $m_1 = \frac{F}{A_1}$.Similarly,for mass $m_2$,the acceleration is $A_2 = \frac{F}{m_2}$,which implies $m_2 = \frac{F}{A_2}$.When the same force $F$ acts on the combined mass $(m_1 + m_2)$,the acceleration $A$ is given by $A = \frac{F}{m_1 + m_2}$.Substituting the values of $m_1$ and $m_2$ into the equation:$A = \frac{F}{\frac{F}{A_1} + \frac{F}{A_2}}$$A = \frac{F}{F(\frac{1}{A_1} + \frac{1}{A_2})}$$A = \frac{1}{\frac{A_1 + A_2}{A_1 A_2}}$$A = \frac{A_1 A_2}{A_1 + A_2}$.

$A$ constant force $F$ acts on two different masses $m_1$ and $m_2$ independently and produces accelerations $A_1$ and $A_2$ respectively. When the same force $F$ acts on their combined mass $(m_1 + m_2)$,the acceleration $A$ produced is:

Similar Questions

An object with mass $500 \ g$ moves along the $x$-axis with speed $v = 4 \sqrt{x} \ m/s$. The force acting on the object is ....... $N$.

If a bullet of mass $5 \,g$ moving with velocity $100 \,m/s$ penetrates a wooden block up to $6 \,cm$,then the average force imposed by the bullet on the block is ........... $N$.

$A$ body of mass $2 \, kg$ is moving with a velocity $8 \, m/s$ on a smooth surface. If it is to be brought to rest in $4 \, seconds$,then the force to be applied is ......... $N$.

At a place where the acceleration due to gravity is $10\,m/s^2$,a force of $5\,kg-wt$ acts on a body of mass $10\,kg$ initially at rest. The velocity of the body after $4\,s$ is .......... $m/s$.

$A$ force of $100 \, dynes$ acts on a mass of $5 \, g$ for $10 \, s$. The velocity produced is ......... $cm/s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module