Physics, 01.07.2019 15:00 brandistrothma

A1200 kg racecar is traveling at 175m/s is slowed to a stop. what is the force required to stop the car in a distance of 120m?

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Answer from: Amandachavez94

m = mass of the race car = 1200 kg

v₀ = initial velocity of the race car = 175 m/s

v = final velocity of the race car as it comes to stop = 0 m/s

d = stopping distance of the race car = 120 m

a = acceleration of race car while slowing down

using the kinematics equation

v² = v₀² + 2 a d

0² = 175² + 2 a (120)

a = - 127.6 m/s²

magnitude of force required to stop the car is given as

F = ma

F = 1200 x 127.6

F = 153120 N

hence the force required to stop the car is 153120 N

Answer from: Quest

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Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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A1200 kg racecar is traveling at 175m/s is slowed to a stop. what is the force required to stop the...

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