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question 6 of 25 a lemon with mass 0.3 kg falls out of a tree from a he…

Question

question 6 of 25
a lemon with mass 0.3 kg falls out of a tree from a height of 1.8 m. how
much mechanical energy does the lemon have just before it hits the ground?
(assume there is no air resistance.)
a. 3.9 j
b. 7.4 j
c. 5.3 j
d. 6.2 j

Explanation:

Step1: Calculate gravitational potential energy

The formula for gravitational potential energy is \(U = mgh\), where \(m = 0.3\space kg\), \(g= 9.8\space m/s^{2}\), \(h = 1.8\space m\).
Substitute the values: \(U=0.3\times9.8\times1.8\).

Step2: Perform the multiplication

First, \(0.3\times9.8 = 2.94\). Then, \(2.94\times1.8=5.292\approx5.3\space J\).

Answer:

C. 5.3 J