multi equation problems. at this point, you know a few equations… p = m * v d = m/v f = m*a s =...

Multi Equation Problems

At this point, you know a few equations…

p = m * vD = m/V

F = m*a

s = d/ta = (vf-vi)/t

Fw = m*g

Do any of these equations have similar parts?

So now we can use multiple equations in one problem…

An ice cube, with a density of .93g/cm3, has a volume of 185cm3. If it is thrown with a force of 9.5N, what is the acceleration at which the ice cube was thrown?

What have you been given?Density = .93g/cm3

Volume = 185cm3

Force = 9.5N

What are you looking for?Acceleration = ?

If I am searching for Acceleration, I have 2 triangles that have Acceleration.Which one would I use here?

a = (vf – vi)/tF = m * a

So now we can use multiple equations in one problem…

An ice cube, with a density of .93g/cm3, has a volume of 185cm3. If it is thrown with a force of 9.5N, what is the acceleration at which the ice cube was thrown?

If I am solving for acceleration, where do I get my mass from?

From Density = Mass / volume

Solve for mass using D=m/V, then plug into F=ma. Don’t forget to convert g (from density) to kg (from

force)!(This is the only time you will ever have to convert units)

So now we can use multiple equations in one problem…

An ice cube, with a density of .93g/cm3, has a volume of 185cm3. If it is thrown with a force of 9.5N, what is the acceleration at which the ice cube was thrown?

D = m / V.93 g/cm3 = m / 185cm3

.93 g/cm3 * 185cm3 = mm = 172.05g

CONVERT from grams (172.05g) to kilograms (.17205kg)

F = m * a9.5N = 0.17205kg * a9.5N / 0.17205kg = a

Acceleration = 55.88m/s2