A 50 kg man is running at a
speed of 18kmh. If all the
kinetic energy of the man
can be used to increase the
temperature of water 20°C to
30°C , then the amount of
water that can be heated
with this energy is
(approximately)
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Answer:
Given,
Mass = 50kg
Velocity = 18km/hr = 5m/s
Initial temperature = (Ti) = 20°C
Final temperature (Tf) = 30°C
Temperature change = Tf - Ti
= 30°-20° = 10°C
Specific heat capacity (C) = 4.18J/g°C
To find:-
Kinetic energy and Mass
We know that, K.E = 1/2mv^2
= 1/2×50×5×5
= 25×25
= 625J
Specific heat, Q = m.c.ΔT
625 = m×4.18×10
625 = 41.8m
m = 14.95g.
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