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A force of 50 N acts on an object of mass 10 kg. What is the acceleration produced?
5 m/s┬▓
0.2 m/s┬▓
500 m/s┬▓
10 m/s┬▓
5 m/s┬▓
Option A is correct because acceleration is directly related to force and inversely related to mass based on Newton's second law of motion. Dividing the net force of 50┬аN by the mass of 10┬аkg results in an acceleration of 5┬аm/s2.
Option A is correct because acceleration is directly related to force and inversely related to mass based on Newton's second law of motion. Dividing the net force of 50┬аN by the mass of 10┬аkg results in an acceleration of 5┬аm/s2.
Pushing an empty shopping cart (small mass) requires less force to achieve high acceleration, whereas pushing a fully loaded cart (large mass) with the same force yields a much smaller acceleration.
F = ma: Force Makes Acceleration
F=m├Чa тАФ Newton's Second Law of Motion
a=mFтАЛ тАФ Calculation of acceleration
Newton's second law states that the net force acting on an object is equal to the product of its mass and acceleration (F=ma). Rearranging this formula yields a=mFтАЛ, which allows us to calculate the rate of change of velocity produced by the applied force.
Acceleration is inversely proportional to mass for a constant force.
The SI unit of acceleration is m/s2 and force is Newton (N).
Determining vehicle performance and braking distances
Calculating orbital adjustments and rocket acceleration in aerospace engineering
One Newton is equivalent to 1┬аkgтЛЕm/s2.
Option B (0.2┬аm/s2) arises from dividing mass by force (10/50), and Option C (500┬аm/s2) comes from multiplying force and mass.
A is correct тАФ dividing the force of 50┬аN by the mass of 10┬аkg gives an acceleration of 5┬аm/s2.
Watch out for unit conversions in railway exams; always ensure weights or masses are in kilograms and forces are in Newtons before computing.
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