1) A certain spring hangs vertically when a body of mass M=1.65 Kg is suspended from it,
its length increases by 7.33 cm. The spring is then mounted horizontally, and a block of
mass m=2.43 Kg is attached to the spring. The block is free to slide along a frictionless
horizontal surface. (a) What is the force constant K of the spring. (b) What is the
magnitude of horizontal force required to stretch the spring by a distance of 11.6 cm.
2) The speed of a wave on a string is 172 m/s when the tension is 123 N. To what value
must the tension be increased in order to raise the wave speed to 180 m/s?
3) The turns at the Daytona International Speedway have a maximum radius of 316m and
are steely banked at 31 degrees. Suppose these turns were frictionless. At what speed
would the cars have to travel around them?
4) An ideal gas is confined to a cylinder by a piston. The piston is slowly pushed down so
that the gas temperature remains at 20
℃
. During the compression, 730J of work was
done on the gas. Find the entropy change of the gas.
5) 5 The block-spring combination is stretched in the positive x-direction a distance of 11.6
cm from equilibrium and released. (a) What is the total energy stored in the system? (b)
What is the maximum speed of the block?
6) You shoot a laser of unknown wavelength using a Michelson interferometer and slowly
move the adjustable mirror at a steady pace to produce even fringes. You notice that after
a change in position of the mirror of 726nm, you are able to count around 11 fringes on
the photo-detector. What must the wavelength of the light source be?
7) Using a soap solution for which the surface tension is 0.025 N/m, a child blows a soap
bubble of radius 1.40 cm. How much energy is expended in stretching the soap surface?
8) A metal wire 75 cm long and 0.130 cm in diameter stretches 0.035 cm when a load of 8.0
kg is hung on its end. Find the stress, strain and Young’s modulus for the material of the
wire.
9) A box-shaped piece of gelatin dessert has a top area of 15
cm2
and a height of 3 cm. when
a shearing force of 0.50 N is applied to the upper surface, the upper surface displaces 4
mm relative to the bottom surface. What are shearing stress and shearing strain?
