Question

it is required to increase the velocity of a scooter of mass 80 kg from 5 to 25 m s –² in 2 second . calculate the force required​

Answer 1

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Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• It is required to increase the velocity of a scooter of mass 80 kg from 5 to 25 m s –² in 2 second. Calculate the force required

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

1. Mass ( m ) = $\sf\green{ 80kg}$
2. Intial Velocity ( u ) = $\sf\green{ {5}m \: s^{ - 1} }$
3. Final Velocity ( v ) = $\sf\green{ {25}m \: s^{ - 1} }$
4. Time ( t ) = $\sf\green{ 2second }$

$\red{\boxed{ \sf \blue{ Calculate \: the \:Force \: Required \: ? }}}$

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Acceleration \: = \: \frac{Change\: in \: Velocity}{Time \: Taken} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{\frac{v \: - \: u}{t} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \frac{25 \:- \: 5}{2} \: }}$

$\qquad \quad {:}\longrightarrow\sf{\sf\cancel{ \frac{20}{2} }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Acceleration \: = \: {10}m \: s^{ - 2} }}}$

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$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: Force \: = \: Mass \: × \: Acceleration }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{Force \: = \: m\: × \: a }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{Force \: = \: 80\: × \: 10 }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{ \:Force \: = \: 800N }}}$

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$\begin{gathered}\begin{gathered}\qquad \therefore\: \sf{ Force \: = \underline {\underline{ 800N}}}\\\end{gathered}\end{gathered}$

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