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

Step-by-step explanation:

F.S=KE

∴S=

F

KE

=

6000

2

1

×1000×15

2

=18.75m

Answer 2

➤ Answer

• Acceleration of vehicle = -5 m/s².
• Force applied by the brakes = -5000 Newton.

➤ Given

• Mass of vehicle = 1000 kg.
• Speed of vehicle = 25m/s.
• Time = 5 seconds.

➤ To Find

• The acceleration of the vehicle and the force applied by the brakes.

➤ Step By Step Explanation

In this we have given that ⤵

• Mass of vehicle = 1000 kg.
• Speed of vehicle = 25m/s.
• Time = 5 seconds.

We need to find the acceleration of the car and the force applied by the brakes.

So let's do it !!

➠ By using first equation of motion.

• v = u + at

➠ By substituting the values.

=> 0 = 25 + a × 5

=> -25 = 5a

=> -25/5 = a

=> -5m/s² = a

Acceleration of the vehicle = -5m/s².

➠ Calculating force

$\dag\underline{\boxed{\bf{ \purple{Force = Mass \times Acceleration}}}}$

➠ By substituting the values

$\longmapsto\tt Force = 1000 \times - 5 \\ \\\longmapsto\tt Force = - 5000\:Newton$

Force = -5000 Newton ( negative force shows that the force is applied to the opposite direction)

➵ Therefore, Acceleration of the vehicle = -5m/s² and force applied by the brakes = -5000 Newton.

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