14 A granite rock at the surface of the Earth has density. The rock is transported to the surface ofanother planet.The acceleration of free fall on the surface of the other planet is twice that on the surface of theEarth.What is the density of the rock on the other planet?A 0.5 B C 2 D 415 A closed U-shaped tube contains a stationary liquid of density. One side of the tube contains agas at pressure p1 and the other side contains a gas at pressure p2, as shown.gas,pressure p1gas,pressure p2liquid, densityxyzThe acceleration of free fall is g.Which equation is correct?A p1 = gyB p2 = g(x – z)C p1 – p2 = g(y – z)D p1 + p2 = gx16 Which product of two quantities is equal to power?A force distanceB force velocityC work done timeD work done velocity
Question
14 A granite rock at the surface of the Earth has density. The rock is transported to the surface ofanother planet.The acceleration of free fall on the surface of the other planet is twice that on the surface of theEarth.What is the density of the rock on the other planet?A 0.5 B C 2 D 415 A closed U-shaped tube contains a stationary liquid of density. One side of the tube contains agas at pressure p1 and the other side contains a gas at pressure p2, as shown.gas,pressure p1gas,pressure p2liquid, densityxyzThe acceleration of free fall is g.Which equation is correct?A p1 = gyB p2 = g(x – z)C p1 – p2 = g(y – z)D p1 + p2 = gx16 Which product of two quantities is equal to power?A force distanceB force velocityC work done timeD work done velocity
Solution
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The density of a material does not change based on location or gravity. It is an intrinsic property of the material itself. Therefore, the density of the rock on the other planet would still be ρ. So, the answer is B.
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The pressure difference between two points in a fluid is given by the equation ΔP = ρgΔh, where Δh is the height difference between the two points. In this case, the height difference is (y - z). Therefore, the correct equation is C: p1 - p2 = ρg(y - z).
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Power is defined as the rate of doing work or the amount of energy transferred per unit time. In physics, it is given by the product of force and velocity. Therefore, the correct answer is B: force × velocity.
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