Question

Calculate the force required to impact a velocity of 30m/s in 10s to a car .the mass of car is 1500kg​

Answer 1

$\bf{\underline{\underline \blue{Solution:-}}}$

$\sf\underline{\red{\:\:\: AnswEr:-\:\:\:}}$

• The required force = 4500N

$\sf\underline{\red{\:\:\: Given:-\:\:\:}}$

• Initial velocity = 0
• Final velocity = 30m/s
• Time = 10seconds
• Mass = 1500kg

$\sf\underline{\red{\:\:\: Need\:To\: Find:-\:\:\:}}$

• The required force = ?

$\bf{\underline{\underline \blue{Explanation:-}}}$

$\sf\underline{\red{\:\:\: Formula\:Used\: Here:-\:\:\:}}$

$\bigstar \: \boxed{ \sf \: Force = Mass \times \bigg(\frac{Final\: velocity - Initial\: velocity }{Time} \bigg)}$

$\sf\underline{\green{\:\:\: Now,Putting\:the\: values:-\:\:\:}}$

$\dashrightarrow \sf {The\: required\:force = 1500 \times \bigg(\dfrac{30 - 0}{10} \bigg)}$

$\dashrightarrow \sf {The\: required\: force = 1500 \times \frac{30}{10} }$

$\dashrightarrow \sf {The \: required\:force = 4500N}$

$\sf\underline{\green{\:\:\: ThereFore:-\:\:\:}}$

• The required force is 4500N.

$\rule{200}{2}$

Answer 2

Given

$\bf \red{ Initial \: Velocity (u) = 0 \: m \: {s}^{ - 1} }$

$\bf \red{Final \: Velocity (v) = 30 \: m \: s^{-1}}$

$\bf \red{Time(t) = 10 \: s}$

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Firstly, we will calculate Acceleration using v = u + at

After calculating acceleration, we will calculate Force using F = m × a

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Calculating Acceleration

$\huge \boxed{ \bf \purple{v =u + at }}$

Substituting the Values

$\longrightarrow \bf 30 = 0 + a(10)$

$\longrightarrow \bf 30 - 0 = 10a$

$\longrightarrow \bf 10a = 30$

$\longrightarrow \bf a = \dfrac{30}{10}$

$\longrightarrow \bf 3 \: m \: {s}^{2}$

Thus, Acceleration is 3m/s

Calculating Force

$\huge \boxed{ \bf \purple{ F = m \times a }}$

Substituting the Values

$\longrightarrow \bf F = 1500 \times 3$

$\longrightarrow \bf F = 4500N$

Thus, 4500N force required to impact the Car.