Question

what is the potential energy of a 2 kg mass having a height of 40 m from its reference point?
A.287
B.487
C.784
D.847​

Answer 1

Answer:

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Explanation:

Total energy = Potential Energy + Kinetic Energy =800 J

At certain height when Potential Energy = Kinetic Energy =400 J

Kinetic Energy =  

2

1

​  

mv  

2

=400

⇒v=20 m/s

Answer 2

Given,

Mass of a body = 2 kg,

Height = 40 m.

To find,

The potential energy of the body.

Solution,

Potential energy is defined as, the energy that a body possesses due to its position.

The potential energy of a body (in J) is given by the following relation

$U=m \cdot g \cdot h$     ...(1)

Where,

m = mass of the body (kg),

g = acceleration due to gravity (usually taken as 9.8 m/s²), and,

h = height of the body from a given reference (m).

For the given body,

m = 2 kg,

h = 40 m, and,

g = 9.8 m/s².

Substituting these value in equation (1), we get,

U = (2)×(9.8)×(40)

⇒ U = 784 J.

Therefore, the potential energy of a 2 kg mass having a height of 40 m from its reference point, will be 784 J. (option c)