What condition must be satisfied to determine the escape velocity of a projectil

Question

What condition must be satisfied to determine the escape velocity of a projectile launched from the surface of the Earth?

A. The total mechanical energy must be zero, where the zero point of gravitational potential energy is defined at infinity.

B. The total mechanical energy must be infinite, where the zero point of gravitational potential energy is defined at infinity.

C. The total mechanical energy must be zero, where the zero point of the gravitational potential energy is defined at the surface of the Earth.

D. The total mechanical energy must be infinite, where the zero point of the gravitational potential energy is defined at the surface of the Earth.

In the energy equation of simple harmonic motion, the position and velocity enter as squares and the signs of x and vx are determined from the context. If the body is moving towards the equilibrium position and away from the position of greatest positive displacement then...

A. the x position is positive and vxis negative. B. the x position is negative and vxis positive. C. the x position is positive and vx is positive. D. the x position is negative and vxis negative.

Explanation / Answer

1,. A. The total mechanical energy must be zero, where the zero point of gravitational potential energy is defined at infinity.

2. B. the x position is negative and vx is positive.

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