A rock is suspended from a scale reads 15.0N. A beaker of water (having a densit

Question

A rock is suspended from a scale reads 15.0N. A beaker of water (having a density of 1000 kg/m^3) is raised up so the rock is totally submerged in the water. The scale now reads 5 N. What is the buoyant force? ___________ What is the density of the rock? _____________ Water is flowing in a horizontal pipe of is radius 1 m. Suppose you want to change the diameter of this pipe so that the speed of the water would be half as great as it was, what should be the new radius? _____ The gravitational acceleration on the surface a planet you just discovered is 18.0 m/s^2. What is the gravitational acceleration at an altitude of one planet diameter above the SURFACE of the planet? ______ Suppose you found a second planet where the gravitational acceleration on its surface is half that of the first planet to the second plant? ________ A 100-kg object is released from rest at an altitude of 2R above the north pole of the earth. If we ignore atmospheric friction, with what speed does the object strike the surface of the earth? Give your answer in terms of G, R and M_earth (the polar radius of the earth is R) ___________ An object of mass 1.0 kg is attached to an ideal massless spring and allowed to hang in the Earth's gravitational field. The spring stretches 4 cm before it reaches its equilibrium position. If this system is allowed to oscillate, What is the spring constant ? __________ What will be its frequency? __________

Explanation / Answer

Here ,

weight of rock , W = 15 N

tension , T = 5 N

a) buoyant force = weight - tension

buoyant force = 15 - 5

buoyant force = 10 N

b)

density of rock = mass of rock/volume

density of rock = (15/9.8)/(10/(9.8 * 1000))

density of rock = 1500 Kg/m^3

the density of rock is 1500 Kg/m^3

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