Question

5. A sedan car of mass 200kg is moving with a certain velocity. It is brought to rest by the
application of brakes, within a distance of 20m when the average resistance being offered to it
is 500N. What was the velocity of the motor car?​

Answer 1

Answer:

hello

ans=10 m/s

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Answer 2

INITIAL VELOCITY OF CAR IS 10 m/s.

Given:

• Mass = 200 kg
• Force = 500 N
• Distance required = 20 m

To find:

• Initial velocity of car ?

Calculation:

First of all, let us calculate the acceleration provided by the brakes :

$a = \dfrac{f}{m}$

$\implies a = \dfrac{ - 500}{200}$

$\implies a = - 2.5 \: m {s}^{ - 2}$

Now, applying EQUATIONS OF KINEMATICS:

${v}^{2} = {u}^{2} + 2as$

• Initial velocity be u :

$\implies {0}^{2} = {u}^{2} + 2( - 2.5)(20)$

$\implies {u}^{2} = 2( 2.5)(20)$

$\implies {u}^{2} = 100$

$\implies \: u = 10 \: m {s}^{ - 1}$

So, initial velocity of car is 10 m/s.