A vehicle 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.
Answers
Answer:
hey mate your ans refer to attachment
Given :-
Mass of a vehicle is 1000kg
Initial velocity of Vehicle is 25 m/s
Final velocity of Vehicle is 0 m/s
Time taken to stop the vehicle is 5s
To Find :-
Acceleration of the vehicle
Force applied by brakes
Solution :-
❍ To calculate the acceleration of the car we have to substitute the given values in the first equation of motion ::
v = u + at
Where,
- v denotes final velocity
- u denotes initial velocity
- t denotes time
Finding the acceleration :-
⤳ 0 = 25 + 5 × a
⤳ 5 × a = 0 - 25
⤳ 5a = -25
⤳ a = -25/5
⤳ a = -5
[ Note : Acceleration is negative because speed of the vehicle is decreasing in order to stop it by applying brakes ]
- Henceforth, the acceleration of the car is -5 m/s²
⠀⠀⠀━━━━━━━━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀
❍ To calculate the force applied by brakes we need to substitute the values in second law of newton ::
F = ma
Where,
- F is force
- m is mass
- a is acceleration
Finding the force :-
⤳ F = 1000 × ( -5 )
⤳ F = 5000 N
[ Note : Value of force is not taken as -5000 N because force cannot be negative ]
- Henceforth, the force applied by brakes is 5000 N