What role does specific heat play in keeping a watermelon cool for a long time after removing it from a fridge on a hot day? `(AS_7)`

Q units of heat is required to raise the temperature of 1 gm. Water from 0^(@)C to t^(@)C, where Q = t + 10^(-5) xx 2t^(2)+ 10^(-7) xx 3t^(3) If the specific heat is the rate of increase of heat per unit degree rise of temperature, find the specifi heat of water at 50^(@) C.

What will be the specific heats of helium at constant volume and constant pressure? gamma of helium = 1.667, R = 8.318 xx 10^(7) erg cdot mol^(-1) cdot^(@)C^(-1) , J = 4.18 xx 10^(7) erg cdot cal^(-1) and molecular mass of helium = 4.

A steel tape 1 m long is correctly calibrated for a temperature of 27.0 ""^(@)C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 ""^(@)C . What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is 27.0^(@)C ? Coefficient of linear expansion of steel =1.20 times 10^(-5)K^(-1) .

Sea water is splattered horizontally from a jet at a speed of 10 m cdot s^(-1) . The water comes to rest after falling in a container, 20 m below the jet level. What will be the increase in the temperature of the water? Specific heat of sea water = 0.94 cal cdot g^(-1) cdot^(@)C^(-1), J = 4.2 xx 10^(7) erg cdot cal^(-1) .

A sets out from a certain place and tavels 1 mile the first day, miles the second day, 3 miles the third day and so on. B sets out 5 days after A and travels the same road @ 12 miles a fay. How far will A travel before he is overtaken by B? If they continue to travel, in what time will be overtaken by A ?

A steel ring is heated up to 95^(@)C to fit exacty on the outer surface of an iron cylinder of diameter 10 cm at 20^(@)C. After fitting, the ring is cooled so that the system attains a temperature 20^(@)C. What is the thermal stress of the ring? [Young's modulus of steel = 21 times 10^(5)kg*cm^(-2) " and " alpha for steel =12 times 10^(-6@)C^(-1).]

The speed of launch is 7 m/s and of the current on a river is 3 m/s. A floating body is released from the launch when it starts along the current . It reverses its direction of motion after travelling distance of 4.2 km, and eventually meets the floating body again. What is the time spent in between by the launch ?