The table shows the dimensions of four wedges.
2 answers:
Answer:
<h2>Wedge Z requires the least amount of force to do a job.</h2>Step-by-step explanation:
In physics, Work is defined as the energy needed to move certaing object through a certain distance. Specifically, the work done is directly proportional to the force exerted and the distance.
It's important to know that a change of point is needed to have actually work done, physically speaking. This means if the object doesn't move, then there's no work done.
Mathematically, the work is defined
Isolating the force
So, notice that the distance is inversely proportional to the force needed, which means the less distance, more force we need.
Now, the problem is giving wides and slopes, which we can use to find heights. And we know already that the less distance we have, the greater force we need, or the most distance, the least force.
Let's find which wedge has the greatest vertical distance.
Notice that the last wedge has greater vertical distance, that means Wedge Z requires least amount of force to do a job.
You might be interested in
Answer:
Step-by-step explanation:
Given equation is,
x² + (p + 1)x = 5 - 2p
x² + (p + 1)x - (5 - 2p) = 0
x² + (p + 1)x + (2p - 5) = 0
Properties for the roots of a quadratic equation,
1). Quadratic equation will have two real roots, discriminant will be greater than zero. [(b² - 4ac) > 0]
2). If the equation has exactly one root, discriminant will be zero [(b² - 4ac) = 0]
3). If equation has imaginary roots, discriminant will be less than zero [(b² - 4ac) < 0].
Discriminant of the given equation =
For real roots,
p² + 2p + 1 - 8p + 20 > 0
p² - 6p + 21 > 0
For all real values of 'p', given equation will be greater than zero.