The potential energy, E, of the penny is given by E=mgh. The energy, Q, required to raise the temperature of an object by an amount ΔT is given by Q=mcΔT. We can equate these two to get the result but we must use proper units and include the 60%:
(0.6)mgh=mcΔT
We see we can divide out the mass from each side
0.6gh=cΔT, then 0.6gh/c=ΔT
(0.6)9.81(m/s²)50m/385(J/kg°C) = 0.7644°C
since this is the change in temperature and it started at 25°C we get
T=25.7644°C
As you can see the result does not depend on mass. The more massive the copper object the more potential energy it will have to contribute to the heat energy, but the more stuff there will be to heat up, and the effect is that the mass cancels.
Part 1. When x=0, then y=900 (from the graph). This means that y-intercept is at point (0,900).
Answer Part 1: 900
Part 2. The y-intercept is at point (0,900). This means that at x=0 (loads), the total amount of dirt to remove is 900 cubic feet.
Answer Part 2: the total amount of dirt to remove.
For this case we have the following expression:
The first step is to solve the quadratic term.
We have then:
Then, the second step is to subtract both resulting numbers:
We observe that the result obtained is a negative number.
Answer:
The result of the expression is given by:
Answer:
it's (A) - There are no solutions to the system because the equations represent parallel lines. Just took the quiz.
Step-by-step explanation:
