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# A basket attached to the hot air balloon has a mass of 70 kilogram upon release the balloon exerts an upwards force of 840 Newton’s on the basket. The initial upwards acceleration of the balloon and the basket is mostly nearly.\begin{align} & A.\text{ zero} \\ & B.\text{ }2.0m/{{s}^{2}} \\ & C.\text{ }9.8m/{{s}^{2}} \\ & D.\text{ }14m/{{s}^{2}} \\ & E.\text{ }30m/{{s}^{2}} \\ \end{align}

Last updated date: 09th Aug 2024
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Hint: It is given in the question that the balloon is going upwards hence upwards force will be greater than gravity force so that if we exclude gravitational force from upwards force we can get total net force and then by using force equation we can get acceleration of balloon attached to the basket.
Formula used: $F=ma$

Given data in the question
A basket attached to the balloon has a mass of 70kg hence the gravitational force.
${{F}_{g}}=mg....\left( 1 \right)$
${{F}_{g}}$ is gravitational force, m is mass of given basket, a is gravitational acceleration
Upwards force given in the question is
${{f}_{u}}=840N$
Now in order to get the balloon in the upwards direction net force will be given by the below equation.
${{F}_{net}}={{F}_{u}}-{{F}_{g}}......\left( 2 \right)$
Now put all the formulas and values in equation (2) to get the acceleration of the balloon attached to the basket.
\begin{align} & \Rightarrow ma=840-mg \\ & \Rightarrow a=\dfrac{840-70\times 10}{70} \\ & \Rightarrow a=\dfrac{140}{70} \\ & \therefore a=2m/{{s}^{2}} \\ \end{align}
Hence acceleration of the balloon that is going upwards is $2m/{{s}^{2}}$.

So the correct option is (B).