question from class 9 physics chapter forces and law of motion
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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 20 m .
The force applied on it is 500 N
To find -
Average velocity of the car.
Solution -
We know that from Newtonian Motion -
F=ma
Here -
F = 500 N
M = 200 kg
a = ?
=> 500 = 200 a
=> a = (5 / 2 ) = 2.5 metres per second².
Now, this it's retardation.
According to the third law of motion -
V² = U² + 2as
V = Final Velocity = 0
U = Initial Velocity
A = acceleration = 2.5
S = displacement = 20 m
Substituting these values -
0 = U² - 2 × 2.5 × 20
=> U² = 100 m/s
=> U = 10 m/s or -10 m/s
This is the required answer.
Note that U can be positive as well as negative here, as this is velocity.
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