Question

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A truck starts from rest and rolls down a hill with a constant acceleration.It travels a distance of 400 m in 20 s.Find force acting on it if mass of it is 7000 kg


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Answer 1

QUESTION-:

A truck starts from rest and rolls down a hill with a constant acceleration.It travels a distance of 400 m in 20 s.Find force acting on it if mass of it is 7000 kg

EXPLANATION-:

• Initial velocity(u)= 0 m/s
• Mass(m)=7000 kg
• Acceleration(a)= ??
• Distance(S)=400 m

• Force(F)= ??

From second equation of kinematics

$\leadsto \underline{\boxed{\ddag\;\;\tt S=ut+\frac{1}{2}at^2\;\;\ddag }}$

Putting values in the formula to calculate acceleration-:

→400=0.5×a×400

→400=200a

$\leadsto \boxed{\bf\; a=2\;m/s^2}$

We know-:

$\leadsto \underline{\boxed{\ddag\;\;\bf\; F=ma\;\;\ddag}}$

Putting values-:

→F=7000×2

$\leadsto \boxed{\bf\; F=14000\;N}$