Forces that act in equal and opposite directions on an object

1 answer:

5 0

These are known as balanced forces because they will not change the motion of the object, and it will remain at rest unless forces become unbalanced- meaning they would be unequal and not opposing.

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A 300 kg piano needs to be moved to the other side of the room. The maximum static frictional force is equal to 90 N and the kin

riadik2000 [5.3K]

Answer:

a = 0.1 m/s²

Explanation:

If the maximum static frictional force is 90 N, this means that any applied force that will overcome this force, will cause the piano to slide, so kinetic frictional force applies.
Under these conditions, the net force in the horizontal direction is just the difference between the applied force (which is larger that the static friction force) and the kinetic frictional force, as follows:

$F_{net} = F_{app} -F_{frk} = 100 N - 70 N = 30 N (1)$

By the same token, according Newton's 2nd Law, this force is just equal to the product of the mass of the piano, times the acceleration, as follows:

$F_{net} = m* a = 300 Kg * a = 30 N (2)$

Solving for a:

$a = \frac{F_{net}}{m} = \frac{30 N}{300kg} = 0.1 m/s2 (3)$

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