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The amount of force needed to accelerate a 10┬аkg mass at 2.5┬аm/s2 is ________.
4 N
7.5 N
25 N
12.5 N
25 N
The force needed to accelerate a mass is calculated using Newton's second law of motion, which states that force equals mass multiplied by acceleration (F=m├Чa). Given a mass m=10┬аkg and acceleration a=2.5┬аm/s2, the force is 10┬аkg├Ч2.5┬аm/s2=25┬аN.
The force needed to accelerate a mass is calculated using Newton's second law of motion, which states that force equals mass multiplied by acceleration (F=m├Чa). Given a mass m=10┬аkg and acceleration a=2.5┬аm/s2, the force is 10┬аkg├Ч2.5┬аm/s2=25┬аN.
Pushing a heavy shopping cart (mass) requires more push (force) to speed it up quickly (acceleration) compared to pushing an empty cart.
FMA: Force equals Mass times Acceleration
F=m├Чa тАФ Newton's Second Law of Motion relating force, mass, and acceleration
a=tvтИТuтАЛ тАФ Definition of acceleration as change in velocity over time
According to Newton's Second Law of Motion, the net force acting on an object is directly proportional to the rate of change of its momentum. For an object of constant mass, this simplifies to the vector equation F=ma, where F is force in Newtons (N), m is mass in kilograms (kg), and a is acceleration in meters per second squared (m/s2).
Force is measured in Newtons (N) or kgтЛЕm/s2.
Mass is the measure of inertia in kg.
Acceleration is the rate of change of velocity in m/s2.
Allows precise prediction of body motion under applied forces.
Designing vehicle braking systems and safety features.
Calculating thrust required for rocket launches.
Option C (25┬аN) is obtained directly by multiplying 10├Ч2.5.
Option A (4┬аN), Option B (7.5┬аN), and Option D (12.5┬аN) are incorrect arithmetic results.
C is correct тАФ The required force is 25┬аN calculated using F=m├Чa.
Always ensure units are in standard SI units (kg, m/s┬▓) before applying physics formulas.
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