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vladimir2022 [97]
3 years ago
15

A block of mass 4 kilograms is initially moving at 5m/s on a horizontal surface. There is friction between the block and the sur

face which causes the block to come to a complete stop. The coefficient of kinetic friction between the block and the surface is 0.5.
Calculate the distance the block slides while coming to a stop. Show all work.
Physics
1 answer:
emmasim [6.3K]3 years ago
8 0

• Net vertical force on the block:

∑ <em>F</em> = <em>n</em> - <em>w</em> = 0

(<em>n</em> = magnitude of normal force, <em>w</em> = weight)

<em>n</em> = <em>w</em> = <em>m g</em>

(<em>m</em> = mass, <em>g</em> = 9.8 m/s²)

<em>n</em> = (4 kg) (9.8 m/s²) = 39.2 N

• Net horizontal force:

∑ <em>F</em> = -<em>f</em> = <em>m a</em>

(<em>f</em> = mag. of friction, <em>a</em> = acceleration)

We have <em>f</em> = <em>µ</em> <em>n</em> = 0.5 (39.2 N) = 19.6 N, so

-19.6 N = (4 kg) <em>a</em>

<em>a</em> = -4.9 m/s²

With this acceleration, the block comes to a rest from an initial speed of 5 m/s, so that it travels a distance ∆<em>x</em> in this time such that

0² - (5 m/s)² = 2 (-4.9 m/s²) ∆<em>x</em>

∆<em>x</em> = (25 m²/s²) / (9.8 m/s²) ≈ 2.55 m ≈ 2.6 m

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Question 3 (1 point)
FrozenT [24]

The force of friction is equal to the pushing force, and the acceleration is zero

Explanation:

In this problem, we are pushing a piano along the floor, in the horizontal direction.

There are 2 forces acting in the horizontal direction on the piano:

  • The applied force, F_a, acting forward
  • The force of friction, F_f, acting backward

Therefore, the net force in the horizontal direction is

\sum F = F_a - F_f

According to Newton's second law, the net force is equal to the product between the piano's mass (m) and its acceleration:

\sum F = ma

Combining the two equations,

F_a - F_f = ma

However, we are also told that the piano moves at constant speed, therefore the acceleration is zero:

a=0

And so,

F_a - F_f = 0\\F_f = F_a

which means that the force of friction is equal to the applied force.

Learn more about Newton's second law:

brainly.com/question/3820012

#LearnwithBrainly

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3 years ago
La estrella mas proxima a la tierra esta a 2 años de luz. Calcula esta distancia en unidades del SI
tino4ka555 [31]

Answer:

2\ ly=1.89\times 10^{16}\ m

Explanation:

The question says that, "The closest star to the earth is 2 light years away. Calculate this distance in SI units".

Given that,

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The SI unit of distance is m. It means we need to convert light years to meters. We know that,

1\ ly=9.461\times 10^{15}\ m

2 light-years means,

2\ ly=2\times 9.461\times 10^{15}\ m\\\\=1.89\times 10^{16}\ m

So, the required distance is equal to 1.89\times 10^{16}\ m.

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Answer:

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