Question

a truck start from rest and rolls down a hill with a constant acceleration. it travels a distance of 400m in 20seconds. find its acceleration. find the force acting on it if it's mass is 7tonnes
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Answer 1

★To Find :-

• Acceleration

• Force

★Solution :-

• GIVEN :-

• Initial Velocity (u) = 0 m/s

• Final Velocity (v) = $\sf\dfrac{400}{20}$=20 m/s

• Time = 20 seconds

• Explanation :-

$\bf{\underline{\boxed{\red{a = \dfrac{v-u}{t}}}}}$

${}$

$\implies\sf{a = \dfrac{20-0}{20}}$

${}$

$\implies\sf{a = \dfrac{20}{20}}$

${}$

$\implies\sf{a = 20 m/\ s^{2}}$

${}$

$\bf{\underline{\boxed{\red{F = ma}}}}$

${}$

$\implies\sf{F= 7000\times20}$

${}$

$\implies\sf{F = 140000\:Newton}$

${}$

$\bf{\underline{\underline{\green{Related\:Points\:-}}}}$

★ Force is defined as the pull or push of an object.

★ Acceleration is the change in velocity per unit time

★ Acceleration and force are vector quantity

Answer 2

${ \huge{ \bold{\underline{ \underline{ \orange{Solution:-}}}}}}$

Given:-

${\tt{Intial velocity (u) = 0 m/s}}$

${\tt{final velocity (v) = \frac{400}{20} = 20}}$

${\tt{Time \: taken = 20}}$

To Find :-

Acceleration

Force

${ \huge{ \bold{\underline{ \underline{ \red{Concept:-}}}}}}$

a = acceleration

v= final velocity

u = intial velocity

◕ Force is that, which acting on a body changes or trains to change that state of raised for uniform motion of the body in a straight line .

◕ The change in the velocity of an object per unit time is measured by the physical quantity is called acceleration .

${ \huge{ \bold{\underline{ \underline{ \green{Formula \: used:-}}}}}}$

$\leadsto{\tt{\pink{a = \frac{v-u}{t}}}}$

$\leadsto{\tt{\pink{F = ma}}}$

${ \huge{ \bold{\underline{ \underline{ \purple{Calculation:-}}}}}}$

$\leadsto{\tt{a = \frac{v-u}{t}}}$

$\leadsto{\tt{a = \frac{20 - 0}{20}}}$

$\leadsto{\tt{a = \cancel\frac{20}{20}}}$

$\leadsto{\tt{a = 1 m/s^2}}$

$\leadsto{\tt{NOW,}}$

$\leadsto{\tt{F = ma}}$

$\leadsto{\tt{F = ma}}$

$\leadsto{\tt{F = 7000× 20}}$

$\leadsto{\tt{F = 140000N}}$

$\longrightarrow\large\underline{\underline{\boxed{\mathtt{\color{purple}{F = 140000 N}}}}}{\color{teal}{\bigstar}}$