Question

When a 10-kg block is simultaneously pushed toward the east with 20 n and toward the west with 15 n, the combination of these forces on the block is?

Answer 1

When a 10-kg block is simultaneously pushed toward the east with 20N and toward the west with 15N, the combination of these forces on the block is 5N toward the East

Let's understand this problem in detail

Let $F_{1} = 20N$ which is in east direction

and $F_{2} = 15N$ which is acting in the west direction

Now, $F_{net} = F_{1} + F_{2}$

But $F_{1}$ and $F_{2}$ are in opposite direction.

So let's rotate the force vector $F_{2}$ by 180 degrees which becomes $-F_{2}$

Now both $F_{1}$ and $F_{2}$ are in same directionof the forces are in a single line

Adding both of them, we get

$F_{net}$ = $F_{1} + (-F_{2})$

$F_{net}$ = 20N - 15N = 5N, as both of the forces are in east direction hence, the net force is also acting in the east driection

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