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A Van of Mass 1500 Kg Travelling at a Speed of 54 Km H−1 is Stopped in 10 S. Assuming that All the Mechanical Energy Lost Appears as Thermal Energy in the Brake Mechanism

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प्रश्न

A van of mass 1500 kg travelling at a speed of 54 km h−1 is stopped in 10 s. Assuming that all the mechanical energy lost appears as thermal energy in the brake mechanism, find the average rate of production of thermal energy is cal s−1.

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उत्तर

Given:-

Mass of van, m = 1500 kg

Speed of van, v = 54 km/h

`=54xx(5/18)=15"m/s"`

Total kinetic energy of the van is given by

`K=1/2"mv"^2`

`K=1/2xx1500xx(15)^2`

K = 750 x 225

K = 168750 J

`K=168750/4.2`

K = 40178.57 cal

Loss in total energy of the van = 40178 cal

`"Loss in energy per second" =40178/10=4017.8approx4000"cal./sec"`

∴ Average rate of production of thermal energy ≈ 4000 cal/sec

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पाठ 25: Calorimetry - Exercises [पृष्ठ ४७]

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एचसी वर्मा Concepts of Physics Volume 1 and 2 [English]
पाठ 25 Calorimetry
Exercises | Q 13 | पृष्ठ ४७

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