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A constant force of 4┬аN acts on a box of mass 2┬аkg for a duration of 2┬аs. If its initial velocity is 2┬аm/s, then the final velocity of this box will be:
6┬аm/s
2┬аm/s
3┬аm/s
4┬аm/s
6┬аm/s
To find the final velocity, we first calculate the acceleration produced by the force using Newton's second law (F=ma). Using the kinematic equation v=u+at, we incorporate the initial velocity, acceleration, and time duration to find the final result of 6 m/s.
To find the final velocity, we first calculate the acceleration produced by the force using Newton's second law (F=ma). Using the kinematic equation v=u+at, we incorporate the initial velocity, acceleration, and time duration to find the final result of 6 m/s.
Think of pushing a shopping cart: if you give it a steady push for a few seconds, the initial speed you gave it plus the speed gained from your consistent push results in a higher final speed.
a=mFтАЛ тАФ Acceleration from Force and Mass
v=u+at тАФ First equation of motion for Final Velocity
According to Newton's second law, acceleration a is given by a=F/m. Substituting the given values (F=4 N, m=2 kg), we find a=4/2=2 m/s┬▓. The final velocity is determined by the first equation of motion, v=u+at, where u is the initial velocity and t is time. Applying the values: v=2+(2├Ч2)=2+4=6 m/s.
Force is the product of mass and acceleration (F=ma).
Final velocity depends on both the initial velocity and the acceleration over time.
The SI unit of force is Newtons (N), and acceleration is m/s┬▓.
Calculation of stopping distance of vehicles.
Determining trajectory of projectiles in physics problems.
The box accelerates at 2 m/s┬▓ due to the applied force.
Option B (2 m/s) is the initial velocity, not the final.
Option C (3 m/s) is incorrect math.
Option D (4 m/s) is incorrect math.
A is correct тАФ The final velocity of the box is calculated to be 6 m/s using the equation v=u+at.
Always check your units before plugging them into kinematic equations to ensure consistency (e.g., seconds, meters, kilograms).
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