Question

NEED TO SHOW ALL WORK) For each of the equations given below, use the triangle method to solve for the

desired variable.

Answer 1

1)
`a=(F)/(m)`

2)
`m=(p)/(v)`

Explanation:

1) The given equation is

`F=ma`

We need to solve this for a.

In the given triangle place single variable i.e., F, on the top and variables in the product in the bottom (order of m and a does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

`F=ma`

`a=(F)/(m)`

`m=(F)/(a)`

Therefore, the required answer is
`a=(F)/(m)`.

2) The given equation is

`p=mv`

We need to solve this for m.

In the given triangle place single variable i.e., p, on the top and variables in the product in the bottom (order of m and v does not matter) as shown in the below figure.

Using the triangle and the operations (× and ÷), we get

`p=mv`

`m=(p)/(v)`

`v=(p)/(m)`

Therefore, the required answer is
`m=(p)/(v)`.