A granite column in a building is 8.50 m high and has a mass of 2.16 x 10* kg. (a) How much heat (in 3) is needed to increase its temperature by 10.0°C, given its specific heat is 0.200 kcal/kg-c? (b) What is its change in length (in m) if its coefficient of linear expansion is 2.50 x 10 /C? (c) Calculate the force (in N) it would exert if not allowed to expand, given its cross-sectional area to be 1.00 m2 and the Young's modulus for granite to be 45.0 x 10° N/m2, Note that this force is much larger than the weight it supports, so that It will expand almost freely. (d) How much work (in 3) does it perform when it expands, if it supports a mass of 1.00 x 10 kg? (e) What is its change in internal energy (in J)? () What is the source of energy for the work performed?
A granite column in a building is 8.50 m high and has a mass of 2.16 x 10* kg. (a) How much heat (in 3) is needed to increase its temperature by 10.0°C, given its specific heat is 0.200 kcal/kg-c? (b) What is its change in length (in m) if its coefficient of linear expansion is 2.50 x 10 /C? (c) Calculate the force (in N) it would exert if not allowed to expand, given its cross-sectional area to be 1.00 m2 and the Young's modulus for granite to be 45.0 x 10° N/m2, Note that this force is much larger than the weight it supports, so that It will expand almost freely. (d) How much work (in 3) does it perform when it expands, if it supports a mass of 1.00 x 10 kg? (e) What is its change in internal energy (in J)? () What is the source of energy for the work performed?
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Transcribed Image Text:A granite column in a building is 8.50 m high and has a mass of 2.16 x 10* kg.
(a) How much heat (in 3) is needed to increase its temperature by 10.0°C, given its specific heat is 0.200 kcal/kg.c?
(b) What is its change in length (in m) if its coefficient of linear expansion is 2.50 x 10-/eC?
(c) Calculate the force (in N) it would exert if not allowed to expand, given its cross-sectional area to be 1.00 m? and the
Young's modulus for granite to be 45.0 x 10° N/m2. Note that this force is much larger than the weight it supports, so that
it will expand almost freely.
(d) How much work (in 3) does it perform when it expands, if it supports a mass of 1.00 x 10* kg?
(e) What is its change in internal energy (in )?
(f) What is the source of energy for the work performed?
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