A body of mass 10 kg at rest is acted upon simultaneously...

A body of mass $10 \mathrm{~kg}$ at rest is acted upon simultaneously by two forces $4 \mathrm{~N}$ and $3 \mathrm{~N}$ at right angles to each other. The $\mathrm{KE}$ at the end of 10 second is
(a) $100 \mathrm{~J}$
(b) $300 \mathrm{~J}$
(c) $125 \mathrm{~J}$
(d) $20 \mathrm{~J}$

Key Concepts

Vector Addition

In physics, forces are vectors that have both magnitude and direction. When multiple forces act at right angles, their net effect is found by computing the square root of the sum of the squares of the individual forces. This method, based on the Pythagorean theorem, allows one to determine the overall force acting on an object.

Newton's Second Law of Motion

Newton's second law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). This principle provides the foundation for relating the combined effect of forces to the resulting acceleration of an object.

Kinematic Equations for Constant Acceleration

Under constant acceleration, the relationship between time, acceleration, and velocity is given by the equation v = at, where v is the final velocity, a is acceleration, and t is time. This equation is essential for determining the change in velocity of an object when it starts from rest and accelerates continuously.

Kinetic Energy Calculation

Kinetic energy is the energy an object possesses due to its motion, and it is calculated using the formula KE = 1/2 mv², where m is the mass and v is the velocity. This concept is fundamental in linking the dynamics of an object's motion with the energy transformations involved.

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