You are helping your cousin, Trish, with a science project in which she examinin

Question

You are helping your cousin, Trish, with a science project in which she examining the various ideas of how to float a coin in the water Use these values to answer the following questions: m = 35.0 grams, the mass of the coin to be floated pw = 1.00 g/mL, the density of water Pc = 0.250 g/mL, the density of cork gE = 9.81 m/s2, the gravitational acceleration of Earth gM = 3.75 m/s2, the gravitational acceleration of Mars gs 11.2 m/s, the gravitational acceleration of Saturn Note: Pay special attention to your units. 1) 1) Trish needs to know the weight of the coin on Earth: 2) Trish wants to make a float to set the coin on. The float will be completely submerged and will hold the coin, which will stay dry. What is the minimum volume of cork that Trish should use to make the float? mL 3) If she were to perform this floating coin experiment in a space colony on Mars, she would need (Click to select)

Explanation / Answer

1)
Weight of coin on earth = m*g
Weight of coin on earth = 35* 10^-3 * 9.8 N
Weight of coin on earth = 0.343 N

2)
(float)V(float)+M(coin) = V(float)(water)
V(float) [(water) - (float)] = M(coin)
V(float) = M(coin) / [(water) - (float)]
V(float) = 35 / [1.00 g/ml - 0.250 g/ml]
V(float) = 46.66 ml

3.)
The same amount of cork as on earth.

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