Question

a car of mass 1000kg moving with velocity 54km/h stops in 5 second . calculate the force applied by brakes

Answer 1

this is the answer of your question

Answer 2

GIVEN:

• Initial Velocity (u) = 54 km/hr
• Time Taken (t) = 5 second
• Mass of the car = 1000 kg
• Final velocity (v) = 0 m/s [Car stopped]

TO FIND:

• What is the magnitude of force applied on the body ?

SOLUTION:

Let the acceleration of the car be 'a' m/s²

Initial Velocity = 54 km/hr

Change the initial Velocity in m/s:-

• u = 54 km/hr
• u = $\sf{ 54 \times \dfrac{5}{18}}$
• u = 15 m/s

To find the acceleration of the car, we use the formula:-

$\large{\boxed{\bf{\star \: a = \dfrac{v-u}{t} \: \star}}}$

According to question:-

$\sf{\longrightarrow a = \dfrac{0-15}{5} }$

$\sf{\longrightarrow a = \cancel\dfrac{-15}{5}}$

$\bf{\longrightarrow a = -3 \: m/s^2 }$

❝ The acceleration of the car is –3 m/s² ❞

We know the formula for finding the force is:-

$\large{\boxed{\bf{\star \: FORCE = m \times a \: \star}}}$

On putting the given values in the formula, we get

$\sf{\longrightarrow F = 1000 \times -3 }$

$\sf{\longrightarrow F = -3000 \: N}$

$\bf{\longrightarrow F = 3000 \: N}$

❝ Hence, the magnitude of force applied on the car is 3000 N ❞

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