Work Energy Theorem Example Problem

Which principle states that the net work done on an object equals the change in its kinetic energy?

• Newton's Second Law

• Conservation of Momentum

• Work-Energy Theorem

• Conservation of Energy

When calculating the square of the magnitude of a velocity vector, such as [Ax i + Ay j], which mathematical operation is correctly applied?

• The dot product of the vector with itself, resulting in Ax^2 + Ay^2

• Multiplying the coefficients and unit vectors directly, resulting in (Ax*Ay) (i*j)

• Squaring each coefficient and subtracting them, resulting in Ax^2 - Ay^2

• Adding the coefficients and then squaring the sum, resulting in (Ax + Ay)^2

If a velocity component is -3.0 m/s, what is the correct result when this component is squared in the context of calculating kinetic energy?

• 9.0

• -9.0

• 3.0

• -3.0

What is the net work done on a 5.0 kg mass if its initial velocity is [4.0i - 3.0j] m/s and its final velocity is [2.0i + 6.0j] m/s?

• 38 J

• 82 J

• 100 J

• 63 J