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Draw a network to realize the following by using only one AND gate and one OR gate

Y=ABCD+ABCE+ABCF


n a jump spike, Mark Angel slams the volleyball from a height of 2.3 m with a speed of 18 m/s at 24° below the horizontal. How far on the opposite side will the ball land?


You throw a ball with a mass of 0.40 kg against a brick wall. It hits the wall moving horizontally to the left at -30m/s and rebounds horizontally to the right at 20m/s. Find the impulse of the net force on the ball during its collision with the wall.


a) Define viscosity.

b) A matter has a body-centered cubic unit cell with a length of 330 𝑝𝑚 along an edge and a density of 8.57 𝑔 𝑐𝑚−3 . Calculate the atomic mass of the matter.

c) Find the total energy of a moving object of mass 6.3 𝑘𝑔 and momentum 11.5 × 106 𝑘𝑔𝑚𝑠 −1 .


a) Define the elastic modulus. Explain the different types of elastic modulus.

b) State and explain Einstein's Photoelectric Effect theory.

c) If 12𝑁 force is applied to a fluid of cross-section 5.34 𝑐𝑚2 with a shearing rate of 0.7 𝑠 −1 then find the viscosity of the fluid. 


a) Define crystal and unit cell

b) Explain de Broglie wave and the photoelectric effect.

c) A wire of length 7 𝑚 and radius 2.37 𝑚𝑚 is stretched by a load of 12370 𝑔𝑚 and increased by 1.78% of the original length. Find the stress, strain, and Young’s modulus of the material of the wire. 


a) Define the surface tension and surface energy.

b) Explain the elastic limit with an example. Draw the stress-strain curve for elasticity.

c) A capillary tube with an inside radius of 638 𝑛𝑚 can support a 100 𝑚𝑚 column of liquid that has a density of 820 𝑘𝑔𝑚−3 . The observed contact angle is 12.5°. Find the surface tension of the liquid for ℎ = 20 𝑐𝑚.


1. a) Define elasticity of a matter.

b) Define stress and strain. Explain different types of stress and strain.

c) The radius of a silver bar is 30 𝑐𝑚. What force is required to stretch the bar by 12.7% of its length where Young’s modulus is 𝑌 = 7.25 × 1010 𝑁𝑚−2 .


A 100 gram ball m1, and a 200 gram ball, m2, connected by a rod



with a length of 60 cm. The mass of the rod is ignored. The axis of



rotation located at the center of the rod. What is the moment of



inertia of the balls about the axis of rotation?

A sound wave travelling at 350 m/s has a frequency of 500 Hz. what is it wavelength?

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