An aluminum can is filled to the brim with a liquid. The can and the liquid are heated so thei temperatures change by the same amount. The can's initial volume at 15 °C is 4.5×10 m³. The coefficient of volume expansion for aluminum is 69×10 °C. When the can and the liquid are heated to 75 °C, 2.9x10 m³ of liquid spills over. What is the coefficient of volum expansion of the liquid?

in simple terms, the principle states that the buoyancy force on an object is equal to the weight of the fluid displaced by the object, or the density of the fluid multiplied by the submerged volume times the gravitational acceleration, g. this is also known as upthrust.

6 cos 34, 6 sin 34 trig

force is mass*acceleration.

we have a very small mass: 11.4*0.001 kg

if we want 0.035n of force, we need an acceleration:

0.035 = 11.4*0.001*a

a = 0.035/(11.4*0.001) m/s^2