A 0.10g spider is descending on a strand that supports it with a force of 6.6x10^-04 N.?

What is the acceleration of the spider? Ignore air resistance.

Can u please show me how to solve for it.

Update:

The answer is suppose to be 3.2m/s2 downwards.

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  • 1 decade ago
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    Here we will use the force equation.

    That is

    F = ma whre m is mass, and a is accelleration.

    Draw a diagram of the spider.

    The strand will have an upward force of T = 6.6x10^-04 N

    Don't forget gravity. Now we need to find the downward force. This is the weight of the spider.

    W = mg where w = weight, m = mass of spider, g = acceleration of gravity.

    Thus

    W = .10 * 9.81 = .0981 N

    Thus we have two quantities.

    T = 6.6x10^-04 N the upward force caused by the strand

    W = .0981 the downward force caused by gravity and mass of spider

    Recall our initial equation.

    F = ma.

    We simply need to find F since m is .10 g

    F = T - W This is the upward force minus the downward force. Make sense?

    thus

    F = T - W = ma

    F = .00066 - .0981 = .1 * a

    now we solve for a

    F = -.09744 = .1 * a

    -0.9744 m/s^2 is your acceleration, that is .9744 m/s^2 downwards.

    Source(s): message me if you have any questions.
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  • 1 decade ago

    F=mass x acceleration

    therefore, a=F/m

    a=6.6x10^-4/0.1x10^-3

    a=0.66m/s^2

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