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A force of 20 N acts on a body of mass 5 kg for 3 seconds. What is the change in velocity of the body?
4 m/s
8 m/s
12 m/s
15 m/s
12 m/s
The correct answer is Option C because the change in velocity is determined by the impulse-momentum theorem, where force multiplied by time equals mass multiplied by the change in velocity. By substituting the given values of force (F=20┬аN), mass (m=5┬аkg), and time (t=3┬аs), we calculate the change in velocity to be 12┬аm/s.
The correct answer is Option C because the change in velocity is determined by the impulse-momentum theorem, where force multiplied by time equals mass multiplied by the change in velocity. By substituting the given values of force (F=20┬аN), mass (m=5┬аkg), and time (t=3┬аs), we calculate the change in velocity to be 12┬аm/s.
Pushing a heavy shopping cart with a steady force for a few seconds increases its speed gradually; the harder you push and the longer you push, the faster it will be moving compared to when you started.
F-T equals M-V: Force times Time equals Mass times Velocity change.
F=m├Чa тАФ Newton's Second Law of Motion
╬Фv=mF├ЧtтАЛ тАФ Change in velocity from impulse equation
According to Newton's second law of motion, force is equal to the rate of change of momentum. Rearranging the formula yields F├Чt=m├Ч╬Фv, meaning that applying a constant force over a specific time interval directly changes the momentum and thus the velocity of the body.
Impulse is defined as the product of force and time interval (F├Чt).
Impulse is also equal to the change in linear momentum (m├Ч╬Фv).
Mass remains constant throughout the interaction in standard classical mechanics problems.
Calculating vehicle acceleration under constant engine force.
Designing safety features like airbags that alter the time duration of impact to reduce force.
Standard units used: Force in Newtons (N), mass in kilograms (kg), time in seconds (s), and velocity in meters per second (m/s).
Option A (4 m/s) results from dividing force by mass without multiplying by time (20/5). Option B and D represent miscalculations in multiplication or division.
C is correct тАФ a force of 20 N acting on a 5 kg mass for 3 seconds produces a change in velocity of 12 m/s.
Always verify if the question asks for final velocity or change in velocity, as initial velocity needs to be added if final velocity is required.