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A 1.0 kg brick falls off a ledge of height 44m and lands on the ground at 3.0 s later.
A. Find the final velocity of the brick using equations of motion
B. Find the final velocity of the brick using conversation of energy

Respuesta :

From the data provided, the final velocity of the brick using both equations of motion as well as conservation of energy is 29.6 m/s.

What is the final velocity of the 1.0 kg brick using equation of motion?

Using the equation of motion given below;

  • v² = u² + 2gh

v is final velocity

u is initial velocity = 0

g = 10 m/s²

h = 44m

substituting the values

v² = 0² + 2 * 10 * 44

v² = 880

v = 29.6 m/s

What is the final velocity using conservation of energy?

From conservation of energy, we assume all the potential energy of the brick is converted to kinetic energy

  • Potential energy = kinetic energy

Therefore,

mgh = 1/2mv²

2gh = v²

2 * 10 * 44 = v²

v² = 880

v = 29.6 m/s

Therefore, the final velocity of the brick using both equations of motion as well as conservation of energy is 29.6 m/s.

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