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Question 55: The mass of a planet is 6 x 1024 kg and its diameter is 12.8 x 103 If the value of gravitational constant be 6.7 x 10-11 Nm2/kg2, calculate the value of acceleration due to gravity on the surface of the planet. What planet could this be ? Lakhmir Singh Physics Class 9 |
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Answer» A planet has a mass of 6×10^24 kgs.It has a DIAMETER of 12.8 ×10^3 KM or 12.8 ×10^6m.So according to the problem we have to find out the acceleration due to gravity of that planet.Now, we KNOW that gravitational value is CONSTANT, so it is 6.7×10^-11 Nm^2/Kg^2.The formula to find acceleration due to gravity is :g= G × (M/R^2) Where g is the acceleration due to gravity, G is the gravitational constant M is the mass and R is the radius.To find radius, we have to divide the diameter with 2. So R will be (12.8×10^6/2)m = 6.4 × 10^6 m.So,g= 6.7× 10^-11 × [6×10^24/(6.4 × 10^6)^2] = 6.7 × 60/ 6.4× 6.4 = 9.8m/s^2The planet is Earth as its acceleration due to gravity is 9.8m/s^2. |
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