NCERT Solutions for Class 9 Science Chapter 9
Force and Laws of Motion
NCERT Books for Session 2022-2023
CBSE Board and UP Board
Exercises Questions
Page No-128
Questions No-8
An automobile vehicle has a mass of 1500 kg. What must be the force between the vehicle and road if the vehicle is to be stopped with a negative acceleration of 1.7 m s–2?
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Force = Mass x Acceleration
Given:
– Mass of the vehicle (m) = 1500 kg
– Negative acceleration (a) = -1.7 m/s² (negative because it’s slowing down)
Substituting the values into the formula:
Force = 1500 kg x -1.7m/s²
Force = -2550N
The negative sign indicates that the force is acting in the opposite direction to the motion of the vehicle, which is required to cause the negative acceleration (deceleration) and eventually stop the vehicle.
Mass of the automobile vehicle, m = 1500 kg
Final velocity, v = 0 m/s
Acceleration of the automobile, a = –1.7 ms⁻²
From Newton’s second law of motion:
Force = Mass × Acceleration = 1500 × (–1.7) = –2550 N
Hence, the force between the automobile and the road is –2550 N, in the direction
opposite to the motion of the automobile.
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