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The velocity of a car increases from 54 km/hr to 72 km/hr. How much is the work done if the mass of the car is 1500 kg? - Science and Technology

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प्रश्न

The velocity of a car increases from 54 km/hr to 72 km/hr. How much is the work done if the mass of the car is 1500 kg?

योग

उत्तर

Given: 

Initial velocity of the car (u) = 54 km/hr

= `(54 xx 1000)/3600` m/s

= 15 m/s

Final velocity of the car (v) = 72 km/hr

= `(72 xx 1000)/3600` m/s

= 20 m/s

Mass of the car (m) = 1500 kg

Find: Work done (W)

Formula: Work done (W) = Final kinetic energy - Initial kinetic energy

Calculations:

W = `1/2"mv"^2 - 1/2"mu"^2`

W = `1/2"m"("v"^2 - "u"^2)`

W = `1/2 xx 1500(20^2 - 15^2)`

= `1/2 xx 1500(400  - 225)`

= `1/2 xx 1500 xx 175`

W = 131250 J

Work done to increase the speed of the car 131250 J.

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 2: Work and Energy - Exercises [पृष्ठ २९]

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बालभारती Science and Technology [English] 9 Standard Maharashtra State Board
अध्याय 2 Work and Energy
Exercises | Q 5. d. | पृष्ठ २९

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