1. Calculate the mass of a solid gold rectanglar bar that has dimensions lwh = 4

Question

1. Calculate the mass of a solid gold rectanglar bar that has dimensions lwh = 4.20 cm x 12.0 cm x 30.0 cm. (the density of gold is 19.3x10^3 kg/m^3.) _______kg (answer)

2. A 195-kg load is hung on a wire of 4.20 m, cross-sectional are 2.00x10^-5 m^2, and Young's modulus 8.00x10^10 N/m^2. What is its increase in lengths? ________mm (answer)

3. A plank 2.00 cm thick and 16.9 cm wide is firmly attached to the railing of a ship by clamps so that the rest of the board extends 2.00 m horizontally over the sea below. A man of mass 75.6 kg is forced to stand on the very end. If the end of the board drops by 4.30 cm because of the man's weight, find the shear modulus of the wood. ________Pa (answer)

Explanation / Answer

mass of gold block = density*volume

i.e .0420 x .120 x .30 * 19.3x10^3 kg

=291.86 kg

b)youngs modulus= tensile stress/tensile strain

i.e Y= (force/area)/(change in length/total length)

8.00x10^10=(195*10/2.00x10^-5 )/(change in length/4.2)

thus change in length= .0051 m or .52cm

c)

shear modulus = force * length/(area * drop)

shear modulus = 756*2/(.02*.169*.043)

= 10403192.5141

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