Question

A car of mass 450 kg is acted on by a resultant force of 1575 N. Calculate its acceleration.

Answer 1

$\underline{\Huge{\sf{\purple{Required\; Solution :}}}}$

Answer : 3.5 m/s²

$\underline{\mathfrak{\pmb{Given \; Information :}}}$

• Mass of the car, m = 450 kg
• Resultant force, F = 1575 N

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$\underline{\mathfrak{\pmb{To \; Calculate :}}}$

• Acceleration, a

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$\underline{\mathfrak{\pmb{Explication \; of\; Steps :}}}$

As we know that, force is defined as the product of mass and acceleration. So, mathematically :

$\Huge{\underline{\sf{\purple{F = ma}}}}$

• F denotes force
• m denotes mass
• a denotes acceleration

➠ 1575 = 450 × a

➠ $\sf\dfrac{1575}{450}$ = a

➠ 3.5 m/s² = a

∴ Its acceleration is 3.5 m/s².

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$\underline{\mathfrak{\pmb{Learn \;More :}}}$

Acceleration is rate of change in velocity. It is a vector quantity that means it has both magnitude and direction and its SI unit is m/s².

$\longrightarrow\sf{Acceleration = \dfrac{Change\; in \; velocity}{Time}}$

$\longrightarrow\sf{Acceleration = \dfrac{Final \; velocity - Initial \; velocity}{Time}}$

$\longrightarrow\underline{\boxed{\sf{a = \dfrac{v - u}{t}}}}$