If you increase the force on an item without changing the mass you increase acceleration? true or false?

1 answer:

5 0

(F)(M)=A
Force times Mass equals Acceleration.
The answer is TRUE.
If the mass increases the number on the left side of the equation increases, thus increasing the right side as well.

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How much force does it take to accelerate a 50.8 kg person at 3.50 m/s^2?

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Apply Newton's second law to the person's motion:

F = ma

F = net force, m = mass, a = acceleration

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m = 50.8kg, a = 3.50m/s²

Plug in and solve for F:

F = 50.8(3.50)

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Determine a formula for the magnitude of the force F exerted on the large block (Mc) so that the mass Ma does not move relative

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Answer:

The magnitude of the force F is given by

F = ( $M_{a}$ + $M_{b}$ + $M_{c}$ ) *( $M_{b}$ *g/( $\sqrt{M_{a} ^{2}-M_{b} ^{2}}$ ))

Explanation:

Given there are three blocks of masses $M_{a}$ , $M_{b}$ and $M_{c}$ (ref image in attachment)

When all three masses move together at an acceleration a, the force F is given by

F = ( $M_{a}$ + $M_{b}$ + $M_{c}$ ) *a ................(equation 1)

Also it is given that $M_{a}$ does not move with respect to $M_{c}$ , which gives tension T is exerted on pulley by $M_{a}$ only, Hence tension T is

T = $M_{a}$ *a ..........(equation 2)

There is also also tension exerted by $M_{b}$ . There are two components here: horizontal due to acceleration a and vertical component due to gravity g. Thus tension is given by

T = $M_{b}$ $\sqrt{a^{2} +g^{2} }$ ................(equation 3)