A force of 50N is required to push a car on a level road with constant speed of 10 m/s. The mass of the
car is 500 kg. The force that should be applied to make the car accelerate at 2m/s2 is :
(A) 1100 N (B) 1050 N (C) 1000 N (D) 1500 N
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Required Answer :
The force that should be applied to make the car accelerate at 2 m/s² is :-
- Option (B) 1050 N
Given :
• Force required to push a car on a leavel ground = 50 N
• Initial velocity = 10 m/s
• Mass of the car = 500 kg
• Acceleration = 2 m/s²
To find :
• The force that should be applied to make the car accelerate at 2 m/s²
Solution :
• Force of friction = 50 N
Formula to calculate force when friction is also acting on the body :-
- F - friction = ma
Where,
- F denotes the force
- m denotes the mass
- a denotes the acceleration
Substituting the given values :-
→ F - 50 = 500 × 2
→ F - 50 = 1000
→ F = 1000 + 50
→ F = 1050
Therefore, the force = 1050 N
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