Question

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

Answer 1

Answer:

1) $a=\dfrac{F}{m}$

2) $m=\dfrac{p}{v}$

Step-by-step 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

$F=ma$

$a=\dfrac{F}{m}$

$m=\dfrac{F}{a}$

Therefore, the required answer is $a=\dfrac{F}{m}$.

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

$p=mv$

$m=\dfrac{p}{v}$

$v=\dfrac{p}{m}$

Therefore, the required answer is $m=\dfrac{p}{v}$.