The position of a 55 g oscillating mass is given by x(t)=(2.0cm)cos(10t), where t is in seconds. determine the velocity at t=0.40s. express your answer in meters per second to two significant figures.

The force act on the body tries to attract the body inward towards the circle when the body is executing circular motion. The maximum value of speed will be 13.3 m/sec.

The force operating on an object in curvilinear motion directed toward the axis of rotation or center of curvature is known as centripetal force.

Newton is the unit of centripetal force.

The centripetal force is always perpendicular to the direction of displacement of the item. The centripetal force of an item traveling on a circular route always works towards the center of the circle.

Due to rotation, the tension is act in the chord which is equal to the centripetal force act the ball.

[tex]\rm T = F_c= \frac{mv^2}{r}[/tex]

Tension in the cord  = T= 75 N

Centripetal force = [tex]F_c[/tex]

Mass of the ball= m= 0.55 Kg

Linear  speed =v= ?

The radius of the circle.= r = 1.3 m

T is the maximum tension before the cord breaks. So according to the condition the obtained velocity will be ;

[tex]\rm v = \sqrt{\frac{Tr}{m} } \\\\ \rm v = \sqrt{\frac{75\times1.3}{0.55} }\\\\ \rm v = 13.3 \;m/sec[/tex]

Hence the maximum value of speed will be 13.3 m/sec.

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-8 hope it helps i just took the test

it actually takes 500 seconds if you do the math properly but when converted to min 500 sec is 8 min and 20 sec

If we do the arithmetic correctly, it truly takes 500 seconds, but when we translate it to minutes, it takes 8 minutes and 20 seconds.

Time is the ongoing progression of existence and things that happen in what seems to be an irrevocable order from the past, present, and forward into the future.

The four identical dimensions that make up the cosmos are put together to form a single, four-dimensional manifold that is properly called spacetime. Any physical item that is positioned at many points in time has a unique temporal component for each of those periods.

Time is calculated by dividing the distance which is travelled by the speed

For above given example,

the speed of the light is expressed as [tex]3*10^8 m/s[/tex]

Distance of earth from the sun is [tex]1.5 * 10^1^1[/tex]  meters.

Thus, Time= Distance of the Earth/ Speed of the light

Time= [tex]1.5* 10^1^1 m[/tex]/ [tex]3*10^8m/s[/tex]

Time = [tex]0.5*10^1^1* 10^-^8\\0.5*10^3\\0.5*1000\\[/tex]

Time= 500seconds which is equals to 8 minutes and 20 seconds.

Thus, it takes 500 seconds for light to travel from the sun to the earth.

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Meanwhile DNA construction, maximum DNA polymerases "review their performance," getting the bulk of mis-paired bases in a method called proofreading. Shortly after DNA synthesis, any left mis-paired bases can be identified and substituted in a procedure called mismatch repair. If DNA gets destroyed, it can be fixed by different mechanisms, including chemical repeal, excision restoration, and double-stranded break repair.

Answer:

C on edge

Explanation:

Answer:

the kinetic energy of the second car would be D. 4k

Explanation:

took the test

The stress on the steel is 3.88mPa and the stress on the concrete is 1.94mPa

Data;

[tex]\sum f_y = 0 = Pst + Pc - \delta 0 = 0...equation(i)\\\delta st = \delta c\\[/tex]

We can solve for Pst and Pc

[tex]\frac{Pst * L}{\pi/4 * (0.1^2 - 0.05^2) * 200*10^9} = \frac{Pc * L}{\pi/4 * (0.05)^2 * 30*10^9}\\ 0.075Pst = 1.5Pc\\Pst = 20Pc...equation(ii)\\[/tex]

From equation(i) and (ii)

[tex]Pst + Pc + 0 = 80\\Pst = 20Pc\\20Pc + Pc = 80\\21Pc = 80\\Pc = \frac{80}{21} \\Pc = 3.81kN[/tex]

Let's solve for Pst

[tex]Pst = 20Pc\\Pst = 3.81 * 20\\Pst = 76.2kN[/tex]

The normal stress between the concrete and steel can be calculated as

[tex]\sigma st = \frac{Pst}{A} \\\sigma st = \frac{76.2*10^3}{\frac{\pi }{4} * (0.1^2 * 0.05^2}\\\sigma st = 3.88mPa[/tex]

[tex]\sigma c=\frac{3.81*10^3}{\frac{\pi }{4}* (0.05)^2 } \\\sigma c = 1.94mPa[/tex]

The stress on the steel is 3.88mPa and the stress on the concrete is 1.94mPa

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Answer:

the answer is green, red

The kingdom of an organism  does not only describe physical characteristics. It is evident by that plant and animal kingdom are classified on the basis of photosynthetic ability.

Kingdom:

In classification kingdom is the highest in the hierarchy. A kingdom includes the organism of similar classes.

For Example: plant and animal kingdom

Plant Kingdom:

Animal Kingdom:

Therefore, the fact is that the organism's kingdom does not only describes physical characteristics.

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The battery with a lifetime of 14.5 hours is at the 40.13th percentile in terms of battery lifetimes, assuming a normal distribution with a mean of 15 hours and a standard deviation of 2 hours.

Certainly, to find the percentile of the battery's lifetime, we'll use the Z-score formula and then refer to the standard normal distribution table. Let's assume a normal distribution with a mean (μ) of 15 hours and a standard deviation (σ) of 2 hours. The battery's lifetime is X = 14.5 hours.

The Z-score is calculated as:

Z = (X - μ) / σ

Substitute the values:

Z = (14.5 - 15) / 2 = -0.25

Now, we need to find the percentile associated with this Z-score. Looking up -0.25 in the standard normal distribution table, we find that the corresponding percentile is approximately 40.13%.

The question probable may be:

What is the percentile of a battery's lifetime with a mean (μ) of 15 hours and a standard deviation (σ) of 2 hours when its actual lifetime is X = 14.5 hours? Use the Z-score formula and the standard normal distribution table to determine the percentile associated with the Z-score of -0.25.

This battery's lifetime falls in the 22.66th percentile.

The lifetime of a battery is normally distributed with a mean (μ) of 16 hours and a standard deviation (σ) of 2 hours. To find what percentile a particular battery lasting 14.5 hours falls into, we need to calculate its Z-score.

The Z-score is given by:

[tex]Z = \frac{X- \mu}{\sigma}[/tex]

where X is the observed value.

The Z-score of the given battery is:
Z = [tex]\frac{14.5 - 16}{2}[/tex] = [tex]\frac{-1.5}{2}[/tex] = - 0.75

According to the Z-table, a Z-score of - 0.75 corresponds to a cumulative probability of approximately 0.2266.

This means that 14.5 hours is at the 22.66th percentile.

Thus, the lifetime of a particular battery lasting 14.5 hours falls at the 22.66th percentile of the lifetime distribution.

The complete question is:

The lifetime of a battery in a certain application is normally distributed with mean μ = 16 hours and standard deviation σ = 2 hours.

Activities:

The time the ball remains in the air before striking the ground is closest to 4.20 seconds.

To find the time the ball remains in the air before striking the ground, we can use the equations of motion. Since the ball is thrown at an angle above the horizontal, we'll need to analyze both the horizontal and vertical components of its motion separately.

Given:

- Initial velocity [tex](\(v_0\))[/tex] = 23.7 m/s

- Launch angle[tex](\(\theta\))[/tex] = 60.0°

- Initial height (h) = 2.00 m

First, we'll find the horizontal and vertical components of the initial velocity:

Horizontal component: [tex]\(v_{0x} = v_0 \cdot \cos(\theta)\)[/tex]

Vertical component: [tex]\(v_{0y} = v_0 \cdot \sin(\theta)\)[/tex]

[tex]\[v_{0x} = 23.7 \, \text{m/s} \cdot \cos(60.0^\circ)\]\\v_{0x} \approx 23.7 \, \text{m/s} \cdot \frac{1}{2}\]\\v_{0x} \approx 11.85 \, \text{m/s}\]\\v_{0y} = 23.7 \, \text{m/s} \cdot \sin(60.0^\circ)\]\\v_{0y} \approx 23.7 \, \text{m/s} \cdot \frac{\sqrt{3}}{2}\]\\v_{0y} \approx 20.57 \, \text{m/s}\][/tex]

Now, let's find the time it takes for the ball to reach the maximum height using the vertical motion equation:

[tex]\[v_y = v_{0y} - g \cdot t\][/tex]

At the maximum height, the vertical velocity[tex](\(v_y\))[/tex] becomes zero. So:

[tex]\[0 = v_{0y} - g \cdot t_{\text{max}}\][/tex]

Solving for [tex]\(t_{\text{max}}\):[/tex]

[tex]\[t_{\text{max}} = \frac{v_{0y}}{g}\]\\t_{\text{max}} = \frac{20.57 \, \text{m/s}}{9.8 \, \text{m/s}^2}\]\\t_{\text{max}} \approx 2.10 \, \text{s}\][/tex]

Now, let's find the total time the ball is in the air. We know that the time to reach maximum height and the time to fall from maximum height to the ground are equal due to symmetry (neglecting air resistance). Therefore, the total time in the air is twice the time to reach maximum height:

Total time in the air [tex]\( = 2 \times t_{\text{max}}\)[/tex]

[tex]\[ \text{Total time in the air} \approx 2 \times 2.10 \, \text{s} \]\\ \text{Total time in the air} \approx 4.20 \, \text{s} \][/tex]

So, the time the ball remains in the air before striking the ground is closest to 4.20 seconds.

Answer:

The correct answer is C) Refracts

[tex]K_f=mgh+\frac{1}{2}mv_o^2[/tex]

A rock of mass m is thrown horizontally off a building from a height h

As, the total energy of rock at the time of leaving the thrower's hand is the sum of gravitational potential energy and the initial kinetic energy.

[tex]E=U_i+K_i\\E=mgh+(1/2)mv_0^2[/tex]

As, the height from the ground decreases, the potential energy before hitting the ground is zero and the total final energy is just kinetic energy:

[tex]E=K_f[/tex]

As, the law of conservation of energy states the total final energy must be equal to the initial energy.

Hence, the final kinetic energy will be

[tex]K_f=mgh+\frac{1}{2}mv_o^2[/tex]

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The magnitude of the electric field at the surface of the wire in the Geiger counter can be found using the charge per unit length and the formula E = (1/(2πε0)) * (λ/r). Substituting the given values into the formula will yield the electric field at the wire's surface.

The student asked about calculating the magnitude of the electric field at the surface of the wire in a Geiger counter. To solve this, we will employ the formula for the electric field (E) generated by an infinitely long charged wire, which is given by E = (1/(2πε0)) * (λ/r), where λ is the charge per unit length and r is the radial distance from the wire. In this case, the charge per unit length λ is the total charge divided by the length of the wire, and r is the radius of the wire.

Given: Charge (Q) = 8.0 x 10-10 C, Length (L) = 10.0 cm = 0.1 m, and Wire radius (a) = 0.002 cm = 0.00002 m.

First, calculate the charge per unit length: λ = Q/L = (8.0 x 10-10 C) / (0.1 m) = 8.0 x 10-9 C/m.

Next, calculate the electric field using the radius of the wire (a) as radial distance (r): E = (1/(2πε0)) * (λ/a).

Using the value for the vacuum permittivity ε0 (approximately 8.854 x 10-12 C2/N·m2), the electric field on the surface of the wire is computed to be:

E = (1/(2π(8.854 x 10-12))) * (8.0 x 10-9 / 0.00002) N/C.

Simplifying this expression gives us the electric field at the surface of the wire.

Using the given values, the magnitude of the electric field at the surface of the wire (r = 0.002 cm or 0.00002 m) and L = 10 cm or 0.1 m is calculated as follows:

Convert the radius to meters: r = 0.002 cm = 0.00002 m.

Plugging in the values: E = (8.0 x 10-10 C) / (2π * 8.854 x 10-12 C2/Nm2 * 0.00002 m * 0.1 m).

Calculate the electric field: E = 2.87 x 106 N/C.

The magnitude of the electric field at the surface of the wire in the Geiger counter is therefore 2.87 x 106 Newtons per Coulomb (N/C).

The magnitude of the electric field at the surface of the wire is approximately [tex]\( 7.19 \times 10^{6} \, \text{N/C} \)[/tex].

The magnitude of the electric field at the surface of the wire is given by the formula:

[tex]\[ E = \frac{\sigma}{\varepsilon_0} \][/tex]

where [tex]\( \sigma \)[/tex] is the surface charge density of the wire, and [tex]\( \varepsilon_0 \)[/tex]is the vacuum permittivity [tex](\( 8.85 \times 10^{-12} \, \text{C}^2/\text{N} \cdot \text{m}^2 \)).[/tex]

The surface charge density [tex]\( \sigma \)[/tex] can be calculated by dividing the total charge [tex]\( Q \)[/tex] by the surface area [tex]\( A \)[/tex] of the wire. The surface area of a cylinder is given by [tex]\( A = 2\pi r h \)[/tex], where [tex]\( r \)[/tex] is the radius and [tex]\( h \)[/tex] is the height (or length in this case) of the cylinder.

Given:

- Radius of the wire, [tex]\( r = 0.002 \, \text{cm} = 2 \times 10^{-5} \, \text{m} \) (since 1 cm = 0.01 m)[/tex]

- Length of the wire, [tex]\( h = 10.0 \, \text{cm} = 0.1 \, \text{m} \)[/tex]

- Total charge on the wire, [tex]\( Q = 8.0 \times 10^{-10} \, \text{C} \)[/tex]

First, we convert the radius from centimeters to meters for consistency in units:

[tex]\[ r = 0.002 \, \text{cm} \times \frac{1 \, \text{m}}{100 \, \text{cm}} = 2 \times 10^{-5} \, \text{m} \][/tex]

Now, we calculate the surface area of the wire:

[tex]\[ A = 2\pi r h = 2\pi (2 \times 10^{-5} \, \text{m})(0.1 \, \text{m}) \][/tex]

[tex]\[ A = 4\pi \times 10^{-6} \, \text{m}^2 \][/tex]

Next, we calculate the surface charge density [tex]\( \sigma \)[/tex]:

[tex]\[ \sigma = \frac{Q}{A} = \frac{8.0 \times 10^{-10} \, \text{C}}{4\pi \times 10^{-6} \, \text{m}^2} \][/tex]

[tex]\[ \sigma = \frac{8.0 \times 10^{-10} \, \text{C}}{4\pi \times 10^{-6} \, \text{m}^2} \approx \frac{8.0 \times 10^{-10}}{12.56637 \times 10^{-6} \, \text{m}^2} \][/tex]

[tex]\[ \sigma \approx 6.3662 \times 10^{-5} \, \text{C/m}^2 \][/tex]

Finally, we calculate the magnitude of the electric field at the surface of the wire:

[tex]\[ E = \frac{\sigma}{\varepsilon_0} = \frac{6.3662 \times 10^{-5} \, \text{C/m}^2}{8.85 \times 10^{-12} \, \text{C}^2/\text{N} \cdot \text{m}^2} \][/tex]

[tex]\[ E \approx 7.19 \times 10^{6} \, \text{N/C} \][/tex]

Therefore, the magnitude of the electric field at the surface of the wire is approximately [tex]\( 7.19 \times 10^{6} \, \text{N/C} \)[/tex].

Final answer:

Velocity vs. time graph for uniform acceleration is a straight line, acceleration calculated using the formula a = (Vf - Vi) / t. The acceleration during the first 8 seconds is 1 m/s², and during the last 6 seconds it is -1 m/s².

Explanation:

To graph the velocity of a car accelerating at a uniform rate from 7.0 m/s to 12.0 m/s in 2.0 s, plot a velocity vs. time graph where the time axis (x-axis) spans at least 2 seconds and the velocity axis (y-axis) spans from 7.0 m/s to 12.0 m/s. The graph will be a straight line starting at the point (0, 7.0) and ending at the point (2.0, 12.0) since the acceleration is uniform.

To calculate the acceleration (a), use the formula a = (Vf - Vi) / t, where Vf is the final velocity, Vi is the initial velocity, and t is the time taken for the change in velocity. Substituting the given values, we get a = (12.0 m/s - 7.0 m/s) / 2.0 s = 2.5 m/s².

The acceleration of the car during the first 8 seconds (from 2 m/s to 10 m/s) is calculated by a = (Vf - Vi) / t = (10 m/s - 2 m/s) / 8 s = 1 m/s². During the last 6 seconds, when the car slows down from 10 m/s to 4 m/s, the acceleration is a = (4 m/s - 10 m/s) / 6 s = -1 m/s². Note the negative acceleration indicates a deceleration or slowing down.

Answer: its C on edge 2023. =0.7

Explanation: He's right just putting it in a quicker format.

Answer:

B. five electrons

Explanation:

The electric field at 10.0 cm from a long, straight filament with a charge per unit length of -94.5 µC/m can be calculated using the formula E = λ / (2πε₀r), producing a value directed radially inward.

Finding the Electric Field from a Charged Filament

The problem is asking us to calculate the electric field generated by a long, straight filament with a given charge per unit length. By using Gauss's law, we can find the electric field at a distance from the filament. Since the electric field of a uniformly charged infinite line is symmetrical, it only depends on the distance from the line, and it is directed radially.

We can use the formula for the electric field created by an infinitely long straight filament, which is:

E = λ / (2πε0r)

Where:

ε0 is the permittivity of free space (approximately 8.85 x 10-12 C2/N·m2).

r is the distance from the filament, which is 10.0 cm (or 0.10 meters).

By substituting the known values into the equation:

E = (-94.5 x 10-6 C/m) / (2π x 8.85 x 10-12 C2/N·m2 x 0.10 m)

We perform the calculation to find the magnitude and direction of the electric field. The negative sign of λ indicates that the electric field is directed radially inward, towards the filament.