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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Calculate the escape velocity on the surface of the moon given the mass and radius of the moon to be 7.34 × 1022 kg and 1.74 × 106 m respectively. (Given: G = 6.67 × 10-11 Nm2/kg2) - Science and Technology 1

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प्रश्न

Calculate the escape velocity on the surface of the moon given the mass and radius of the moon to be 7.34 × 1022 kg and 1.74 × 106 m respectively.

(Given: G = 6.67 × 10-11 Nm2/kg2)

बेरीज
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उत्तर

Given:

G = 6.67 × 10-11 Nm2/kg2

Mass of the moon = M = 7.34 × 1022 kg

The radius of the moon = R = 1.74 × 106.

Escape velocity = Vesc = `sqrt((2"GM")/"R")`

= `sqrt((2xx6.67xx10^-11xx7.34xx10^22)/(1.74xx10^6))`

= 2.37 km/s

The escape velocity on the moon is 2.37 km/s.

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