2010 IJC P2 Q1

2010 IJC P2 Q1

4 marks
Prelims

Three space probes, Probe \(A\), Probe \(B\), and Probe \(C\) with mass \(600\) kg, \(630\) kg, and \({900}\) kg respectively were sent into space to find the gravitational pull on the planets Venus, Mars, and Saturn. The sum of the weights of Probe \(B\) on the three planets is \(13860\) N.

The weight of Probe \(C\) on Saturn is \(2880\) N more than the weight of Probe \({A}\) on Venus. The average weight of Probe \(A\) on Saturn, Probe \(B\) on Venus, and Probe \(C\) on Mars is \(4870\) N.

Find the gravitational pull on each of the planets.[3]

Hence find the weight of Probe \(D\), which has mass \(500\) kg, on planet Saturn.

[Weight (in N)\(=\)Mass (in kg)\(\times \)gravitational pull (ms\(^{-2}\))][1]

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Answer:Gravitational pulls: Venus \(9\,\mathrm{m\,s^{-2}}\), Mars \(3.8\,\mathrm{m\,s^{-2}}\), Saturn \(9.2\,\mathrm{m\,s^{-2}}\); weight on Saturn \(4600\,\mathrm N\)

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