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A block of wood with length = 2.5 m, width = 0.5 m and height = 0.4 m. The density of water

is 1000 kg/m3. If the block is placed in the water, what is the buoyant force ?



A ship weighing 46 328 tons is lowered into water. What weight of water would itย 

displace?


A spring (k = 3.5N/m) is attached to a superman doll of mass = 13.0 kg. If the action figure is hung from the ceiling by this spring, how much would the spring be stretched?


A copper rod of length ๐Ÿ’. ๐Ÿ“ ๐’Ž and cross-sectional area ๐Ÿ. ๐Ÿ‘๐ŸŽ ๐’„๐’Ž๐Ÿ is stretched by a heavy load of ๐Ÿ“๐Ÿ“๐ŸŽ ๐’Œ๐’ˆ attached to the rodโ€™s lower end. What is the tensile stress in the rod and the final length after the elongation of the rod under the stress? Youngโ€™s modulus for copper is ๐’€ = ๐Ÿ. ๐Ÿ ๐’™ ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ ๐‘ต๐’Žโˆ’๐Ÿ .


The elastic limit of copper is ๐Ÿ. ๐Ÿ“ ร— ๐Ÿ๐ŸŽ๐Ÿ– ๐‘ต๐’Žโˆ’๐Ÿ . If a copper wire is stretched by a load of mass ๐Ÿ–. ๐Ÿ“ ๐’Œ๐’ˆ then find the minimum diameter of the wire within the elastic limit.ย 


What force is required to stretch a steel wire of cross-sectional area ๐Ÿ‘ ๐’„๐’Ž๐Ÿ to double itโ€™s length? The Youngโ€™s modulus for steel is ๐’€ = ๐Ÿ ร— ๐Ÿ๐ŸŽ๐Ÿ๐Ÿ ๐‘ต๐’Žโˆ’๐Ÿ .


A wire of length ๐Ÿ‘๐Ÿ“๐ŸŽ ๐’„๐’Ž and radius ๐Ÿ. ๐Ÿ“ ๐’Ž๐’Ž is stretched by load of ๐Ÿ๐ŸŽ ๐’Œ๐’ˆ and increased by ๐Ÿ. ๐Ÿ“% of the original length. Find the stress, strain and Youngโ€™s modulus of the material of the wire


The electric field vector E and the magnetic field vector H in


free space are given by ยฃ = 50/p cos(10^6 t + /Bz) a V/m and


H =Ho/p cos( 10^6 t+Bz) ap A/m. Determine their respective


phasor forms and the constants Band Ho such that the fields


satisfy MaxwelJ's equations

Consider the two pucks shown in the figure. As they move towards each other, the momentum of each puck is equal in magnitude and opposite in direction. Given thatย vi, greenย =ย 8.0ย m/s, ย andย mblueย isย 15.0%ย greater thanย mgreen,ย what are the final speeds of each puck (in m/s), ifย 1/2 ย the kinetic energy of the system is converted to internal energy?


A proton, moving with a velocity ofย viรฎ, collides elastically with another proton that is initially at rest. Assuming that after the collision the speed of the initially moving proton isย 2.40ย times the speed of the proton initially at rest, find the following.


(a) the speed of each proton after the collision in terms ofย vi

initially moving proton__ x vi

initially at rest proton__ x vi


(b) the direction of the velocity vectors after the collision (assume that the initially moving proton scatters toward the positiveย yย direction)


initially moving proton ___ยฐrelative to the +xdirection

initially at rest proton ___ยฐrelative to the +xdirection


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