Question

(b) Which would require a greater force accelerating a 5 kg mass at 5 ms or a 3 kg mass at 7 ms-22​

Answer 1

Correct Question :

Which would require a greater force body accelerating a 5 m/s² of 5kg mass (or) bodyacceleration at 7 m/s² of 3 kg mass.

Given :

• Acceleration and mass of a body are 5m/s² and 5 kg
• Acceleratin and mass of the another body is 7 m/s² and 3 kg

To find :

• Body which requires greater force

Solution :

The relation between Force , mass and acceleration is given by ,

$\boxed {\rm{F= ma}}$

Now , The force required by the body in first case is ,

$: \implies \rm \: F= (5 \: kg)(5 \: m {s}^{ - 2 } ) \\ \\ : \implies \rm \: F = 25 \: kgm {s}^{ - 2} \\ \\ : \implies \rm \: F = 25 \: N$

Hence , The force required by the body with mass 5 kg and acceleration 5 m/s² is 25 N.

Force required by another body is ,

$: \implies \rm F = (3kg)(7 \: m {s}^{ - 2} ) \\ \\ : \implies \rm \: F = 21 \: kg.m {s}^{ - 2} \\ \\ : \implies \rm \: F= 21 \: N$

Hence , The Force required by the body with mass 3 kg and acceleration 7 m/s² is 21 N

We can say that ,

Force required by the body with mass 5 kg and acceleration 5 m/s² is more than the force required by the body with mass 3 kg and 7 m/s² . ( Since 25 N > 21 N)

∴ The body with 5 kg mass and 5 m/s² requires greater force.

Answer 2

Answer:

Correct Question :

Which would require a greater force body accelerating a 5 m/s² of 5kg mass (or) bodyacceleration at 7 m/s² of 3 kg mass.

Given :

Acceleration and mass of a body are 5m/s² and 5 kg

Acceleratin and mass of the another body is 7 m/s² and 3 kg

To find :

Body which requires greater force

Solution :

The relation between Force , mass and acceleration is given by ,

\boxed {\rm{F= ma}}

F=ma

Now , The force required by the body in first case is ,

\begin{gathered} : \implies \rm \: F= (5 \: kg)(5 \: m {s}^{ - 2 } ) \\ \\ : \implies \rm \: F = 25 \: kgm {s}^{ - 2} \\ \\ : \implies \rm \: F = 25 \: N\end{gathered}

:⟹F=(5kg)(5ms

−2

)

:⟹F=25kgms

−2

:⟹F=25N

Hence , The force required by the body with mass 5 kg and acceleration 5 m/s² is 25 N.

Force required by another body is ,

\begin{gathered} : \implies \rm F = (3kg)(7 \: m {s}^{ - 2} ) \\ \\ : \implies \rm \: F = 21 \: kg.m {s}^{ - 2} \\ \\ : \implies \rm \: F= 21 \: N\end{gathered}

:⟹F=(3kg)(7ms

−2

)

:⟹F=21kg.ms

−2

:⟹F=21N

Hence , The Force required by the body with mass 3 kg and acceleration 7 m/s² is 21 N

We can say that ,

Force required by the body with mass 5 kg and acceleration 5 m/s² is more than the force required by the body with mass 3 kg and 7 m/s² . ( Since 25 N > 21 N)

∴ The body with 5 kg mass and 5 m/s² requires greater force.