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  • A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravity on the surface of the Earth and Mars as 10 m/s2 and 4 m/s2 respectively. Identify from the

A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acceleration due to gravity on the surface of the Earth and Mars as 10 m/s2 and 4 m/s2 respectively. Identify from the below figures, the curve that fits best for the weight of the passenger as a function of time.
 
Option: 1 (c)
Option: 2 (a)
Option: 3 (d)  
Option: 4 (b)

Answers (1)

best_answer

\begin{aligned} &g_{E}=\frac{G M_{E}}{R_{E}^{2}}=10 \mathrm{~m} / \mathrm{s}^{2} \\ &g_{M}=\frac{G M_{M}}{R_{M}^{2}}=4 \mathrm{~m} / \mathrm{s}^{2} \end{aligned}

\\ \text{Weight on Earth surface} =m g_{E}=100 \times 10 =1000 \mathrm{N}\\ \\ \text{Weight on Mars surface} = m{g}_{M} =100 \times 4 =400 \mathrm{~N}

At some point P, during his/her journey, the weight will be equal to zero as the force due to earth and mars will cancel each other making net gravitational force equal to zero.

This situation is correctly depicted by curve C.

Hence, the correct option is (1).

Posted by

vishal kumar

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