A car has mass m. A person needs to push the car with force F in order to give the car acceleration a. The person needs to push the car with force 2F in order to give the car acceleration 3a.
Which expression gives the constant resistive force opposing the motion of the car? A ma B 2ma C 3ma D 4ma
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The correct answer is the option A - ma.
Solution:
Solution:
Resultant force = Applied force – Resistive force
ma = F - R
R = F- ma
3ma = 2F – R
R = 2F – 3ma
By substituting R as above,
2F – 3ma = F – ma
F = 2ma
Therefore, R = 2ma – ma = ma
Resistive force = ma
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