Gravity is gravity. It doesn't matter what the mass is made of, just how much mass is present. The Law of Universal Gravitation is F = G m1m2 r-2 where F is force, G is the gravitational constant, m1 and m2 are the masses of the two bodies, and r is the distance between the centers of mass of the two bodies.
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The formula to calculate the gravity (specific gravity) of gold is:
Specific Gravity = Density of gold / Density of water
The density of gold is approximately 19.32 g/cm^3, and the density of water is 1 g/cm^3. So, the specific gravity of gold would be 19.32.
The formula for work done against gravity is given by W = mgh, where W is the work done, m is the mass of the object, g is the acceleration due to gravity, and h is the height the object is raised.
The work done against gravity is calculated using the formula: work = force x distance. In this case, the force against gravity is the weight of the box, which is mass x gravity. So, work = (16 kg x 9.8 m/s^2) x 0.50 m = 78.4 J.
The specific gravity of gold can be calculated by dividing the density of gold by the density of water. In this case, the density of gold is 19.3 g/cm^3 and the density of water is 1 g/cm^3. So, the specific gravity of gold is 19.3.
Gold has the highest specific gravity among wood, water, quartz, and gold. Its specific gravity is around 19.3 g/cm3, which is much greater than the other materials listed.
The mass of the gold bar can be found using the formula: weight = mass x gravity. Given that the weight is 19.6 N on Earth (acceleration due to gravity = 9.8 m/s^2), the mass of the gold bar would be 2 kg (19.6 N ÷ 9.8 m/s^2 = 2 kg).