SATHEE: Laws Of Motion Question 276

Laws Of Motion Question 276

Question: A balloon with mass ’m’ is descending down with an acceleration ‘a’ (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration ‘a’?

Options:

A) $\frac{2 m a}{g + a}$

B) $\frac{2 m a}{g - a}$

C) $\frac{m a}{g + a}$

D) $\frac{m a}{g - a}$

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Let up thrust of air be

$F_{a}$ then For downward motion of balloon $F_{a} = m g - m a$

$m g - F_{a} = m a$

For upward motion $F_{a} - (m - Δ m) g = (m - Δ m) a$

Therefore $Δ m = \frac{2 m a}{g + a}$

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Laws Of Motion Question 276

Question: A balloon with mass ’m’ is descending down with an acceleration ‘a’ (where a < g). How much mass should be removed from it so that it starts moving up with an acceleration ‘a’?

Options:

Answer:

Solution:

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