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A constant force F acts on a box of mass 10┬аkg for a duration of 2┬аs. It increases the object's velocity from 6┬аm/s to 10┬аm/s. The magnitude of the applied force F is:
25 N
50 N
20 N
40 N
20 N
The magnitude of the force applied is determined by Newton's Second Law of Motion, which relates force to the rate of change of momentum. By calculating the change in velocity over the given time duration, we can find the acceleration and subsequently the force required to produce that change in the given mass.
The magnitude of the force applied is determined by Newton's Second Law of Motion, which relates force to the rate of change of momentum. By calculating the change in velocity over the given time duration, we can find the acceleration and subsequently the force required to produce that change in the given mass.
Think of pushing a shopping cart: if you want to speed it up significantly in a short time, you need to apply a stronger push (force) than if you wanted a gentle increase in speed.
F-M-A: Force equals Mass times Acceleration
F=m├Чa тАФ Newton's Second Law
a=tvтИТuтАЛ тАФ Definition of acceleration
According to Newton's Second Law, F=ma, where a is the acceleration calculated as the rate of change of velocity: a=tvтИТuтАЛ. Given mass m=10kg, initial velocity u=6m/s, final velocity v=10m/s, and time t=2s, the acceleration is a=210тИТ6тАЛ=2m/s2. Thus, F=10kg├Ч2m/s2=20N.
Newton's second law defines the relationship between force, mass, and acceleration.
The change in velocity (╬Фv)here is 4 m/s.
Acceleration is the rate of change of velocity, which is 2 m/s┬▓.
Provides a direct measure of net force on a body.
Assumes constant force and negligible friction for this specific calculation.
Calculating engine force needed to accelerate vehicles.
Designing industrial machinery for moving loads.
The SI unit of force is the Newton (N).
Option A is 25 N (Incorrect), Option B is 50 N (Incorrect), Option D is 40 N (Incorrect).
C is correct тАФ The magnitude of the applied force is 20 N calculated using F=m├ЧtvтИТuтАЛ.
Always ensure the units are consistent (SI units: kg, m/s, s) before plugging values into equations.
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