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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answered: 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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answered: 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.

answered: Guest

given data:

determine the horse power (h.p) = ?

force applied to move the box(f) = 10 pounds,

box lifted from a distance (d) = 3 feet

time taken to lift (t) = 10 sec,

the horse power is defined as amount of work required to move a load. the horse power is equal to 550 foot-pound per second

1 h.p = 550 foot-pound/second

it can also be defined as the the load that need to be move a body for certain distance in a certain amount of time.

mathematically,

h.p = (force × distance)/ time

= (10 × 3)/ 10

= 30/10

= 3 foot -pound/sec

hence, the horse power is needed to move the box is 3 foot-pound/second

important note: 1 h.p = 550 foot-pound/second = 746 watts

answered: Guest

Ifound this on google “two vectors are equal if they have the same magnitude and direction. they are parallel if they have the same or opposite direction. we can combine vectors by adding them, the sum of two vectors is called the resultant.” i hope this you.

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Ablock whose weight is 45 n rests on a horizontal table. a horizontal force of 36 n is applied to th...