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

Multi Equation Problems

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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

Page 4: Multi Equation Problems. At this point, you know a few equations… p = m * v D = m/V F = m*a s = d/t a = (v f -v i )/t F w = m*g Do any of these equations

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)

Page 5: Multi Equation Problems. At this point, you know a few equations… p = m * v D = m/V F = m*a s = d/t a = (v f -v i )/t F w = m*g Do any of these equations

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

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