Question

a) Calculate the kinetic energy of an object weighing 600kg moving at a velocity of 30m/s.
b) Calculate the potential energy of stone weighing 2.5kg placed at a height of 6m.

Answer 1

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Calculate the kinetic energy of an object weighing 600kg moving at a velocity of 30m/s

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Given that,

Mass of the object = 600 kg

Velocity of the object = 30 m/s

Kinetic energy = (1/2) mv2

Kinetic energy = (1/2) x 600 x 30 x 30

Kinetic energy = $27 X 10^{4}$

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Calculate the potential energy of stone weighing 2.5kg placed at a height of 6m.

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Given that,

Mass = 2.5 kg

Height = 6m

Acceleration due to gravity, gravity =9.8 m/s^2

Potential energy = mgh

Potential energy = 2.5 × 9.8 × 6

Potential energy = 147 joules

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Some common formulas :-

$a = \frac{v-u}{t}\\\rho = \frac{m}{V}\\P= \frac{W}{t}$

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Answer 2

Answer:

a) The kinetic energy of the object is 2,70,000 J.

b) The potential energy of the stone is 147 J.

Explanation:

a) Mass of the object, m = 600 Kg

   Velocity of the object, v = 30 m/s

   ∴ Kinetic energy of the object, K.E = (mv²) / 2

                                                             = (600 × 30²) / 2

                                                             = (540000) / 2

                                                             = 2,70,000 J

b) The mass of the stone, m = 2.5 Kg

   Height of the stone from the ground level, h = 6 m

   The acceleration due to gravity, g = 9.8 m/s²

   ∴ Potential energy of the stone, P.E = mgh

                                                               = 2.5 × 9.8 × 6

                                                               = 147 J