A 450-kg sports car accelerates from rest to 100 km/h in 4.80 s. what magnitude force does a 68.0 kg passenger experience during the acceleration?

Respuesta :

We use the first equation of motion, to calculate the acceleration of the car

[tex]v = u + at[/tex]

Here, v is final velocity and its value is 100 km/h = 100(1000/3600)  =  27 .78 m/s  and u is initial velocity as car accelerates from rest so its value zero and t is time taken and its value is given 4.80 s.

Therefore,

[tex]27 .78 \ m/s = 0 + a \times 4.80 \ s \\\\ a = 5.79 \ m/s^2[/tex].

Now the magnitude of force,

[tex]F= ma = 68 \ kg \times 5.79 \ m/s^2 =  393 .52 \ N[/tex].

Thus, the magnitude of force by passenger experience during the acceleration is 393 .52 \ N.

The magnitude of force, a 68.0 kg passenger experience during the acceleration is 323.52 N.

The formula of acceleration

[tex]\rm \bold{ a = \frac{v-u}{t} }[/tex]

Where,

v- velocity = 100km/h = 27 .78 m/s  

u- initial vecity = 0

t = time = 4.8 s

put the values

[tex]\rm \bold{ a = 5.79m/s^2}[/tex]

Formula for force

F= ma

[tex]\bold{F = 68 kg\times 5.79m/s^2}\\\\\bold{F = 323.52N }[/tex]

Hence, we can conclude that the magnitude of force, a 68.0 kg passenger experience during the acceleration is 323.52 N.

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