Dee is on a swing in the playground. the chains are 2.5 m long, and the tension in each chain is 450 n when dee is 55 cm above the lowest point of her swing. tension is a vector directed along the chain, measured in newtons, abbreviated n. what are the horizontal and vertical components of the tension at this point in the swing

The horizontal and vertical components of the tension at the given point in the swing are  281.6 N and 351 N respectively.

Given data:

The length of chain is, L = 2.5 m.

The magnitude of tension on each chain is, T = 450 N.

Distance above the lowest point is, d = 55 cm = 0.55 m.

In problem, first we need to obtain the angle of inclination made by string horizontally.

So, the angle inclined by the string with horizontal is given as,

Now, the horizontal component of tension force acting on the string is,

And, the vertical component of tension force acting on the string is,

Thus, the horizontal and vertical components of the tension at this point in the swing are 281.6 N and 351 N respectively.

Learn more about the component of forces here:

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0.19 m/s and 0.45 m/s