Question

A force of 5N produce an acceleration on of 8m/s2 on a mass m1 and an acceleration of 24 m/s2 on a mass m2 which one will have lighter weight

Answer 1

Diagrams :-

$\setlength{\unitlength}{2mm}\begin{picture}(0,0)\thicklines\put(0,0){\line(3,0){3cm}}\multiput(1,0)(1,0){14}{\line(1,-2){1.79mm}}\put(4,0){\line(0,3){0.6cm}}\put(10,0){\line(0,3){0.6cm}}\put(4,3){\line(3,0){1.2cm}}\put(6,1){ \sf m_1 }\put(2,5){ \sf\xrightarrow{Acceleration = 8 \:^{_m}\!/s^2} }\put(-3,1){ \xrightarrow{\sf F=5N\quad} }\end{picture}$

$\setlength{\unitlength}{2mm}\begin{picture}(0,0)\thicklines\put(0,0){\line(3,0){3cm}}\multiput(1,0)(1,0){14}{\line(1,-2){1.79mm}}\put(11,0){\line(0,3){0.6cm}}\put(4,0){\line(0,3){0.6cm}}\put(4,3){\line(3,0){1.4cm}}\put(6.2,1){ \sf m_2 }\put(-3,1){ \xrightarrow{\sf F=5N\quad} }\put(6,4){ \xrightarrow{\sf Acceleration = 24\:^{_m}\!/s^2} }\end{picture}$

Solution :-

If we need to find the which block has greater weight . So , we need to find the masses of blocks $\textbf{\textsf{m {_1} }}$&$\textbf{\textsf{m {_2} }}$

Using ,

F = m × a

Where ,

• F = 5N
• Acceleration = 8m/s² or 24m/s²
• Mass = m1 & m2

• $\underline{\textbf{\textsf{M _1 }}}:-$

⇒ $\sf m_1$ = $\sf\dfrac{5}{8}$

⇒ $\sf m_1$ = 0.625 kg

• $\underline{\textbf{\textsf{M _2 }}}:-$

⇒ $\sf m_2$ = $\sf\dfrac{5}{24}$

⇒ $\sf m_2$ = 0.203 kg

$\boxed{\textbf{\textsf{ m _1 >m _2 }}}$

Hence , $\underline{\bf m_1 > m_2}$ . So , $\sf m_2$ has lighter weight