8. How much energy does a 12 V battery in your car use to move 2.5 C through the electrical

Mathematics

1 answer:

I am Lyosha [343]2 years ago

6 0

The energy required is 30 watts second.

In order to accomplish work and to produce heat and light, energy must be transferred to a body or to a physical system. Energy is the quantitative attribute that does this. Energy is a preserved resource; according to the rule of conservation of energy, energy can only be transformed from one form to another and cannot be created or eliminated.

The voltage of a battery is 12 V and;

The charge is 2.5C.

Now, energy can be defined as the product of voltage and charge.

Therefore,

E = V × C

E = 12 × 2.5

E = 30 watt second

Hence, the energy needed by the 12 V battery to move 2.5 C through the electrical circuit is 30 watts second.

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I have 12 more nickels than quarters. If the coins are worth $5.40, how many nickels are there?

Ne4ueva [31]

Let's try to create two equations to help us solve this problem. For this problem, $n$ will represent the number of nickels and $q$ will represent the number of quarters.

A first one could represent the number of <em>coins </em>we have. This does not regard the value of the coins, but rather just how many we could <em>count</em>. Based on the information in the problem, we could say:

$n = 12 + q$

After all, the number of nickels is 12 more than the number of quarters.

Now, let's create an equation to represent the value of the coins we have. Since each $n$ nickel is worth 5 cents, we can say the value of all the nickels in cents is $5n$ . We can thus say for quarters that the value of all quarters in cents is $25q$ . Since we know the value of the coins we have adds to $5.40, or 540 cents, we can say: