A waiter in a restaurant fills a pitcher full of water and ice so that water wou

Question

A waiter in a restaurant fills a pitcher full of water and ice so that water would spill out if any more were added. As the ice starts to melt: a. the water level in the pitcher falls. b. the water level in the pitcher remains the same. c. water starts to flow out the spout of the pitcher. d. the pressure on the bottom of the pitcher decreases. e. the pressure on the bottom of the pitcher increases. A rock weighing 1400 N in air, has an apparent weight of 900 N when submerged in water of density 1000kg/m^3. The buoyant force, and the volume of the rock are respectively a. 1400N, 0.5m^3 b. 900N, 5m^3 c. 500N, 0.05m^3 d. 5N, 0.09m^3 e. 100N, 0.5m^3 A stonecutter's chisel has an edge area of 9 times 10^-5 m^2 and the pressure exerted on the stone is 500,000N/m^2, the force on the chisel is a. 32N b. 18N c. 70N d. 45N e. 80N One piston in a hydraulic lift has an area that is twice the area of the other. When the at the smaller piston is increased by Delta p the pressure at the larger piston: a. increases by 4 Delta p b. increases by Delta p c. increases by 2 Delta p d. increases by Delta p/2 e. does not change

Explanation / Answer

From the given question,

5. As the ice starts melting, the water level in pitcher remains same.

reason: the weight of ice floating is equal to weight of water displaced. as the ice melts into water, it will fill that displaced volume. so, the level doesnt changes.

6.weight of rock in air(W1)=1400N

apparent weight in water(W2)=900N

density of water(d1)=1000 kg/m3

Buoyant weight= Actual weight in air- apparent weight in water

=1400-900N

=500N

Buoyant force= 500N

buoyant force= volume of rock * density of water * g

500= volume of rock * 1000 * 10

volume of rock = 0.05m3

c)Force = pressure * area

=500,000 * 9 * 10-5

=45N

d) According to pascals law, pressure is transmitted equally in all directions.

pressure in smaller piston = piston in larger piston

so, piston in larger piston does not change.

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