Physics, 05.08.2019 15:10 KillerSteamcar

Ablock whose weight is 45 n rests on a horizontal table. a horizontal force of 36 n is applied to the block. the coefficient of kinetic and static friction are 0.65 and 0.42, respectively. will the block move under the influence of the force, and if so, what will be the blocks acceleration?

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Answer from: Aristar

The block will move since the horizontal force is greater than the static frictional force.

The acceleration of the block under the influence of the force is 1.47 m/s².

The given parameters;

weight of the block, W = 45 Nhorizontal force, F = 36 Ncoefficient of kinetic friction = 0.65coefficient of static friction, = 0.42

The mass of the block is calculated as follows;

$W = mg\\\\m = \frac{W}{g} \\\\m = \frac{45}{9.8}\\\\m = 4.59 \ kg$

The static frictional force on the block is calculated as follows;

$F_s = \mu_s F_n\\\\F_s = \mu_ s W\\\\F_s = 0.42 \times 45\\\\F_s = 18.9 \ N$

The block will move since the horizontal force is greater than the static frictional force.

The acceleration of the block is calculated as follows;

$F- \mu_ k F_n = ma\\\\36 - (0.65 \times 45) = 4.59a\\\\ 6.75 = 4.59a\\\\a = \frac{6.75}{4.59} \\\\a = 1.47 \ m/s^2$

Thus, the acceleration of the block under the influence of the force is 1.47 m/s².

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Answer from: Legrand4423

1.5 m/s²

Explanation:

For the block to move, it must first overcome the static friction.

Fs = N μs

Fs = (45 N) (0.42)

Fs = 18.9 N

This is less than the 36 N applied, so the block will move. Since the block is moving, kinetic friction takes over. To find the block's acceleration, use Newton's second law:

∑F = ma

F − N μk = ma

36 N − (45 N) (0.65) = (45 N / 9.8 m/s²) a

6.75 N = 4.59 kg a

a = 1.47 m/s²

Rounded to two significant figures, the block's acceleration is 1.5 m/s².

Usually the coefficient of static friction is greater than the coefficient of kinetic friction. You might want to double check the problem statement, just to be sure.

Answer from: Quest

Sounds propagates through some kind of medium. usually it's air, but it goes just as well through solid objects like walls, windows etc. a soundwave will compress the (air)molecules in front of it, and if this increased density wave hits your ears, you register it as sound. solid objects like walls are a lot denser than air, this means that they will damp a wave, but also carry it easier.

Answer from: Quest

umm its a tricky question

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