Calculate the potential energy of a 4 kg cat crouched 3 meters off the ground
2 answers:
Answer : Potential energy of the cat is 117.6 J.
Explanation :
It is given that,
Mass of the cat, m = 4 kg
Height from the ground, h = 3 m
We know that the potential energy of the cat is possessed by the virtue of its height under the action of gravity.
Mathematically, it is given as :
Hence, this is the required solution
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To solve this problem we will apply the linear motion kinematic equations. From the definition of the final velocity, as the sum between the initial velocity and the product between the acceleration (gravity) by time, we will find the final velocity. From the second law of kinematics, we will find the vertical position traveled.
Here,
v = Final velocity
= Initial velocity
g = Acceleration due to gravity
t = Time
At t = 4s, v = -30m/s (Downward)
Therefore the initial velocity will be
Now the position can be calculated as,
When it has the ground, y=0 and the time is t=4s,
Therefore the cliff was initially to 41.6m from the ground