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A2: Resultant force calculation help please

So there's a balloon with an upward force of 1.3x106N. The initial accelaration when the balloon is released is 27ms-2. The total mass of the filled ballloon and its load is M.

Calculate the value of M.

I understand that you need to calculate the resultant force which is upward force-weight
so 1.3x106 - mg

The mark scheme says
ma = 1.3x106 - mg
27m = 1.3x106 - mg
Then they give an answer of M = 3.5x103kg.

I don't understand how they rearranged to get this answer. Thanks
Reply 1
Original post by LeaX
So there's a balloon with an upward force of 1.3x106N. The initial accelaration when the balloon is released is 27ms-2. The total mass of the filled ballloon and its load is M.

Calculate the value of M.

I understand that you need to calculate the resultant force which is upward force-weight
so 1.3x106 - mg

The mark scheme says
ma = 1.3x106 - mg
27m = 1.3x106 - mg
Then they give an answer of M = 3.5x103kg.

I don't understand how they rearranged to get this answer. Thanks


27m = 1.3x106 - mg
27m + mg = 1.3x106
m = 1.3x106 / (27+9.8) = 3.5x104kg. Are you sure it's not 104?
Reply 2
add mg to both sides of the equal sign and see where you get.
Reply 3
Original post by TSR561
27m = 1.3x106 - mg
27m + mg = 1.3x106
m = 1.3x106 / (27+9.8) = 3.5x104kg. Are you sure it's not 104?



Original post by Joinedup
add mg to both sides of the equal sign and see where you get.


I feel so silly now haha, thank you. :smile:

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