A force of 12 N gives an object an acceleration of 4m/s2, The force required to give it an acceleration of 10 ms-2 is
Correct answer: D. 30 N
- A. 15 N
- B. 24 N
- C. 20 N
- D. 30 N
Explanation
To solve this problem, use Newton's Second Law of Motion, F = ma. Initially, determine the object's mass using the given force and acceleration: m = F/a = 12 N / 4 m/s2 = 3 kg. With the mass known, apply the same formula to find the force required for an acceleration of 10 m/s2: F = ma = 3 kg x 10 m/s2 = 30 N. Thus, the correct answer is 30 N. Options A, B, and C are incorrect because they involve miscalculation or misapplication of the formula, leading to incorrect force values.
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About Force and Motion
Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.
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