An angler hangs a 4.50-kg fish from a vertical steel wire 1.50 m long and 5.00 × 10 −3 cm 2 in cross-sectional area. The upper end of the wire is securely fastened to a support. (a) Calculate the amount the wire is stretched by the hanging fish. The angler now applies a varying force F → at the lower end of the wire, pulling it very slowly downward by 0.500 mm from its equilibrium position. For this downward motion, calculate (b) the work done by gravity; (c) the work done by the force F → , (d) the work done by the force the wire exerts on the fish; and (e) the change in the elastic potential energy (the potential energy associated with the tensile stress in the wire). Compare the answers in parts (d) and (e).
An angler hangs a 4.50-kg fish from a vertical steel wire 1.50 m long and 5.00 × 10 −3 cm 2 in cross-sectional area. The upper end of the wire is securely fastened to a support. (a) Calculate the amount the wire is stretched by the hanging fish. The angler now applies a varying force F → at the lower end of the wire, pulling it very slowly downward by 0.500 mm from its equilibrium position. For this downward motion, calculate (b) the work done by gravity; (c) the work done by the force F → , (d) the work done by the force the wire exerts on the fish; and (e) the change in the elastic potential energy (the potential energy associated with the tensile stress in the wire). Compare the answers in parts (d) and (e).
An angler hangs a 4.50-kg fish from a vertical steel wire 1.50 m long and 5.00 × 10−3cm2 in cross-sectional area. The upper end of the wire is securely fastened to a support. (a) Calculate the amount the wire is stretched by the hanging fish. The angler now applies a varying force
F
→
at the lower end of the wire, pulling it very slowly downward by 0.500 mm from its equilibrium position. For this downward motion, calculate (b) the work done by gravity; (c) the work done by the force
F
→
, (d) the work done by the force the wire exerts on the fish; and (e) the change in the elastic potential energy (the potential energy associated with the tensile stress in the wire). Compare the answers in parts (d) and (e).
A rigid bar of mass M is supported symmetrically by three wires each of length l. Those at each end are ofcopper and the middle one is of iron. The ratio of their diameter, if each is to have the same tension, is equal to
(a)YcopperYiron(b) √YironY copper(c)Yiron2Ycopper2(d)YironYcopper
An angler hangs a 4.50 kg fish from a vertical steel wire 1.50 m long and 5.00 * 10-3 cm2 in cross-sectional area. The upper end of the wire is securely fastened to a support. (a) Calculate the amount the wire is stretched by the hanging fish. The angler now applies a varying force F at the lower end of the wire, pulling it very slowly downward by 0.500 mm from its equilibrium position. For this downward motion, calculate (b) the work done by gravity; (c) the work done by the force F S ; (d) the work done by the force the wire exerts on the fish; and (e) the change in the elastic potential energy (the potential energy associated with the tensile stress in the wire). Compare the answers in parts (d) and (e).
A moonshiner makes the error of filling a glass jar to the brim and capping it tightly. The moonshine expands more than the glass when it warms up, in such a way that the volume increases by 0.4% (that is, ΔV/V0 = 4 ✕ 10-3) relative to the space available. Calculate the force exerted by the moonshine per square centimeter if the bulk modulus is 1.8 ✕ 109 N/m2, assuming the jar does not break
Chapter 11 Solutions
University Physics with Modern Physics (14th Edition)
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