Question

a vechiles of mass 1000kg is moving with a speed of 25m/.calculate the acceleration of the vehicle if it is stopped in5 second by applying brakes on it also find force applied by brakes.​

Answer 1

Explanation:

Initial velocity(u)= 25 m/s

Final velocity(v)= 0

Time( t)= 5 s.

By the first law of motion;

v = u + at

0= 25+ a×5

5a= - 25

a= -5

Acceleration = 5m/s²

The negative sign symbolizes that it's retardation( Acceleration in opposite direction).

Force = mass × Acceleration

F = 1000 kg × 5 m/s²

Force = 5000 N(Ans)

Answer 2

$\sf\small\green{Given:-}$

• m = 1000 kg.

• u = 25 m/s.

• a = ?

• s = 5 second.

$\sf\small\green{Find:-}$

• calculate the acceleration of the vehicle if it is stopped in5 second by applying brakes on it also find force applied by brakes.

$\sf\small\green{Solution:-}$

Now, Acceleration

$\rm\rightarrow \: v = u + at$

$\rm\rightarrow \: 0 = 25 + a.5$

$\rm\rightarrow \: - 25 = 5a$

$\rm\rightarrow \: a = \frac{ - 25}{5}$

$\rm\dashrightarrow \purple{ - 5 \frac{m}{s} ^{2} }$

Now, Apply Brake

$\rm\rightarrow \: force = mass \times acceleration$

$\rm\rightarrow \: f = 100 \times s$

$\rm\dashrightarrow \purple{5000 \: N}$

$\rule{25mm}{2mm}$