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A 0.300 kg block is pressed against a spring with a spring constant of 8050 N/m until the spring is compressed by 6.00 cm. When

natita [175]

Answer:

a) $\mu_{k} = 0.704$ , b) $R = 0.312\,m$

Explanation:

a) The minimum coeffcient of friction is computed by the following expression derived from the Principle of Energy Conservation:

$\frac{1}{2}\cdot k \cdot x^{2} = \mu_{k}\cdot m\cdot g \cdot \Delta s$

$\mu_{k} = \frac{k\cdot x^{2}}{2\cdot m\cdot g \cdot \Delta s}$

$\mu_{k} = \frac{\left(8050\,\frac{N}{m} \right)\cdot (0.06\,m)^{2}}{2\cdot (0.3\,kg)\cdot (9.807\,\frac{m}{s^{2}} )\cdot (7\,m)}$

$\mu_{k} = 0.704$

b) The speed of the block is determined by using the Principle of Energy Conservation:

$\frac{1}{2}\cdot k \cdot x^{2} = \frac{1}{2}\cdot m \cdot v^{2}$

$v = x\cdot \sqrt{\frac{k}{m} }$

$v = (0.06\,m)\cdot \sqrt{\frac{8050\,\frac{N}{m} }{0.3\,kg} }$

$v \approx 9.829\,\frac{m}{s}$

The radius of the circular loop is:

$\Sigma F_{r} = -90\,N -(0.3\,kg)\cdot (9.807\,\frac{m}{s^{2}} ) = -(0.3\,kg)\cdot \frac{v^{2}}{R}$

$\frac{\left(9.829\,\frac{m}{s}\right)^{2}}{R} = 309.807\,\frac{m}{s^{2}}$

$R = 0.312\,m$

5 0

4 years ago

A cable passes over a pulley. Because the cable grips the pulley and the pulley has nonzero mass, the tension in the cable is no

topjm [15]

Answer:

$\alpha=214.8 rad/s^2$

Explanation:

We are given that

$F_1=137 N$

$F_2=43 N$

Net force=F= $F_1-F_2=137-43=94 N$

Mass,m=1.21 kg

Radius,r=0.723 m

We have to find the magnitude of its angular acceleration.

Moment of inertia , $I=\frac{1}{2}mr^2$

Substitute the values

Torque , $\tau=I\alpha$

$F_{net}\times r=\frac{1}{2}mr^2\alpha$

$\alpha=\frac{2F_{net}}{mr}$

$\alpha=\frac{2\times 94}{1.21\times 0.723}$

$\alpha=214.8 rad/s^2$

4 0

3 years ago

Write a question about how changing temperature affects the gas inside the sports ball

dmitriy555 [2]

Answer:

What happens to the pressure of the air inside a sport ball when it is heated?

Explanation:

We can answer this question by thinking at what happen at microscopic level.

In fact, when the gas inside the ball is heated, the molecules of the gas start moving faster. As a result, the rate of collision of the molecules against the internal surface of the ball increases: and therefore, the pressure of the gas inside the ball increases.

We can also see this by looking at the ideal gas law, which states that:

$pV=nRT$

where

p is the gas pressure

V is the gas volume

n is the number of moles

R is the gas constant

T is the absolute temperature of the gas

In this situation, the volume of the gas V is constant (since the ball has a constant volume), the number of moles n is also constant, as well as R. So we can rewrite this as

$p \propto T$

so we see that the pressure is directly proportional to the temperature: therefore, when the ball is heated, the pressure inside the ball increases.

6 0

3 years ago

What is one energy conversion that doesn’t help.

Kazeer [188]

Answer:

Mechanical energy is the total energy of the body is made up of scientific energy and potential synergy, these two can be converted into one another without needing help.

The most determining factor of kinetic anergy is speed since it is squared

Explanation:

Mechanical energy is the total energy of the body is made up of scientific energy and potential synergy, these two can be converted into one another without needing help. Kinetic energy is the energy of movement, increasing the speed of the body increases the kinetic energy.

The energy powers an energy from the system configuration when changing to a lower energy configuration this is converted into mechanical energy.

The most determining factor of kinetic anergy is speed since it is squared

7 0

3 years ago

A car starting at position 16m travels out to position 67m and turns around and speeds back to position 16m. What was the displa

enyata [817]

Answer: D. 102m

Explanation: Because if you subtract 67m-16m=51. 51 +51 is 102m

7 0

3 years ago

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