Hello!
The answer is:
Luke did a work of 308N.m or 308 Joules.
<h2>Why?</h2>When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.
We can calculate the work done by using the following equation:
Where,
Work is the transferred energy.
Force, is the force applied to the object.
Distance, is the distance covered due to the applied force.
α, is the angle at the work is done.
We are given the following information to calculate the work done:
So, substituting the given information into the equation to calculate work, we have:
Hence, we have that Luke did a work of 308N.m or 308 Jouls.
Have a nice day!
A function assigns the values. The graph can be plotted as shown below.
<h3>What is a Function?</h3>A function assigns the value of each element of one set to the other specific element of another set.
Given the function, g(x) = -3(1/2)ˣ, therefore, the value of g(x) can be written as,
g(x) = -3(1/2)ˣ
g(-2) = -3(1/2)² = -0.75
g(-1) = -3(1/2)¹ = -1.5
g(0) = -3(1/2)⁰ = -3
g(1) = -3(1/2)¹ = -1.5
Hence, the graph can be plotted as shown below.
Learn more about Function:
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