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MrMuchimi
2 years ago
7

You have developed a method in which a paint shaker is used to measure the coefficient of static friction between various object

s and a known surface. the shaker oscillates with a fixed amplitude of 40 mm , but you can adjust the frequency of the motion. you have affixed a horizontal tabletop (the known surface) to the shaker so that the tabletop oscillates with it. then you put an object on the tabletop and increase the frequency until the object begins to slip on the surface. part a if a frequency f = 1.75 hz is required before a penny positioned on the tabletop starts to slide, what is the coefficient of static friction between penny and tabletop?
Physics
1 answer:
slamgirl [31]2 years ago
6 0
So we want find the coefficient of friction, which comes from F = (mu)*N, where F is the force of static friction, mu is the coefficient of friction and N is the normal force of the object. We can talk about how the penny would move after this force is reached with F = ma, where a is acceleration and m is the mass of the penny. The maximum acceleration of an oscillatory motion is a = Aω², where A is the amplitude and ω is the angular frequency. To turn ω into the regular frequency we're given, we can use ω = 2πf. Using this, our max acceleration becomes a = A(2πf)², which we can put into F=ma, so it becomes F = m(4Aπ²f²), then we can set it equal to F = (mu)N, so 4Amπ²f² = (mu)N. N, the normal force, will equal the weight force of the penny (draw a free body diagram), W = mg, where m is the mass of the penny and g is the gravitational constant (9.8m/s²). So N = W = mg, so we sub mg in for N, and we get 4Amπ²f² = (mu)mg, we solve for mu, cancelling our m's (good thing too since we don't know the mass of the penny) and we get mu = 4Aπ²f²/g, then we plug stuff in (convert mm to m by multiplying by 10⁻³) mu = 4(40*10⁻³)(3.14)²(1.75)²/(9.8) = 0.49 for our coefficient of friction. Lots of equations, but I hope that made sense!
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. During a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from th
mixer [17]

Answer:

106.7 N

Explanation:

We can solve the problem by using the impulse theorem, which states that the product between the average force applied and the duration of the collision is equal to the change in momentum of the object:

F \Delta t = m (v-u)

where

F is the average force

\Delta t is the duration of the collision

m is the mass of the ball

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u is the initial velocity

In this problem:

m = 0.200 kg

u = 20.0 m/s

v = -12.0 m/s

\Delta t = 60.0 ms = 0.06 s

Solving for F,

F=\frac{m(v-u)}{\Delta t}=\frac{(0.200 kg) (-12.0 m/s-20.0 m/s)}{0.06 s}=-106.7 N

And since we are interested in the magnitude only,

F = 106.7 N

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How does the change in the temperature of the universe provide evidence for universe expansion that supports the Big Bang Theory
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Question:

1) The universe is cooling which, according to the Big Bang Theory, is expected to happen as the cosmos accumulates.

2) The universe is warming which, according to the Big Bang Theory, is expected to happen as the cosmos disperses.

3) The universe is cooling which, according to the Big Bang Theory, is expected to happen as the cosmos disperses.

4) The universe is warming which, according to the Big Bang Theory, is expected to happen as the cosmos accumulates.​

Answer:

The correct option is;

3) The Universe is cooling which, according to the Big Bang Theory, is expected to happen as the cosmos disperses

Explanation:

With the temperature measurement carried out using the CSIRO radio telescope, Astronomers have been able to determine a temperature difference in the universe from 5.08 Kelvin 7.2 billion light years away to 2.73 Kelvin in the Universe today, which is in support of the Big Bang theory that as the Universe expanded from a state of extreme temperature that cools down as the Universe expands or the cosmos disperses.

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2 years ago
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Answer:

The rock's speed after 5 seconds is 98 m/s.

Explanation:

A rock is dropped off a cliff.

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We know that acceleration = average speed/time

In our case,

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