Question

Calculate the mechanical energy TME______j of a 7.2 kg object moving at 2.4 m/ s and positioned 5.8m above the ground.

Answer 1

The mechanical energy of an object can be calculated by adding its potential energy and kinetic energy. In this case, the potential energy is calculated using the formula PE = mgh, and the kinetic energy is calculated using the formula KE = 1/2mv^2. The total mechanical energy is the sum of the potential energy and kinetic energy.

Step-by-step explanation:

The mechanical energy of an object can be calculated by adding its potential energy and kinetic energy. In this case, the potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s^2), and h is the height of the object above the ground. The kinetic energy is given by the formula KE = 1/2mv^2, where v is the velocity of the object.

Using the given values, the potential energy PE = (0.15 kg)(9.8 m/s^2)(2 m) = 2.94 J and the kinetic energy KE = 20 J. Adding these values together, the total mechanical energy TME = PE + KE = 2.94 J + 20 J = 22.94 J.

Answer 2

Mechanical energy = 429.984J

Step-by-step explanation:

Given the following data;

Mass = 7.2kg

Velocity = 2.4m/s

Height = 5.8m

To find the mechanical energy;

Mechanical energy = kinetic energy + potential energy

First of all, we would determine the values of K.E and G.P.E

K.E = ½mv²

K.E = ½*7.2*2.4²

K.E = 3.6*5.76

K.E = 20.736 J

P.E = mgh

We know that acceleration due to gravity is equal to 9.8m/s²

P.E = 7.2*9.8*5.8

P.E = 409.248

Substituting the values into eqn 1, we have;

Mechanical energy = 20.736 + 409.248

Mechanical energy = 429.984J