Question

an unloaded truck weighing 2000kg has a maximum acceleration of 0.5m/s². What is the maximum acceleration when it is carrying a load of 2000kg.​

Answer 1

Given Info :-

• An unloaded truck of mass, m = 2000 kg moves with a maximum acceleration of a = 0.5 m/s²

Explanation :-

We are asked to find –

• Maximum acceleration when it is carrying a load of 2000 Kg

Let's find the force applied by the truck while moving unloaded using formula –

$\purple{\bigstar \; {\underline{\boxed{\bf{ Force = Mass \times Acceleration }}}}}$    

$\longrightarrow \sf Force = m \times a$

$\longrightarrow \sf Force = 2000 \times 0.5$

$\longrightarrow \bf{\pink{\underline{\underline Force = 1000\: N}}}$

According to do question –

• m + 2000 ⇒ 4000 Kg

Now, Let us find the maximum acceleration produced–

$\purple{\bigstar \; {\underline{\boxed{\bf{ Force = Mass \times Acceleration }}}}}$    

$\longrightarrow \sf 1000 = 4000 \times A$

$\longrightarrow \sf A =\dfrac{ 1000}{4000}$

$\longrightarrow \sf A = \cancel{\dfrac{ 1}{4}}$

$\longrightarrow \bf{\pink{\underline{\underline Acceleration = 0.25\: m/s²}}}$

Hence, Acceleration produced = 0.25 m/s²

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