Question #272480

An astronaut sent on a mission to a new planet where the gravitational field strength near the surface is 3.9 N/kg. Using actual mass, find the weight and mass of the astronaut (a) on earth (b) on the new planet and (c) in space.


Expert's answer

Answer


a) On the new planet,

W=3.9Nkg1×m0kg=3.9m0N\qquad\qquad \begin{aligned} \small W&=\small 3.9Nkg^{-1}\times m_0\,kg\\ &=\small 3.9m_0\,N \end{aligned}


b) On earth,

W0=9.8Nkg1×m0kg=9.8m0N\qquad\qquad \begin{aligned} \small W_0&=\small 9.8\,Nkg^{-1}\times m_0\,kg\\ &=\small 9.8m_0\,N \end{aligned}


c) in space

  • Weight has no meaning, weightlessness is sensed.


  • In all conditions mass of the astronaut remains unchanged, it is a constant.

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