circular saw blade of diameter 0.190 m starts from rest. In a time interval of 5.80 s it accelerates with constant angular acceleration to an angular velocity of 145 rad/s. Part A Find the angular acceleration. Express your answer in radians per second squared. α = nothing rad/s2 Request Answer Part B Find the angle through which the blade has turned. Express your answer in radians. θ = nothing rad Request Answer Provide Feedback

Answer:

0.14 J

Explanation:

The maximum velocity is the amplitude times the angular frequency.

vmax = Aω

ω = vmax / A

ω = (3.2 m/s) / (0.06 m)

ω = 53.3 rad/s

For a spring-mass system:

ω = √(k / m)

ω² = k / m

k = ω²m

k = (53.3 rad/s)² (0.050 kg)

k = 142 N/m

The elastic potential energy is:

EE = ½ kx²

EE = ½ (142 N/m) (0.044 m)²

EE = 0.14 J

The distance ratio r2/r1 is approximately 0.605. 

The point charge is given by

E = k*q/r^2

where E is the electric field, k is the Coulomb constant (\(k = 8.99 * 10^9 Nm^2/C^2\)), q is the charge of the point charge, and r is the distance between the point charge and the location. The electric field is measured.

Using this equation, we can find the distance ratio r2/r1.

\(E1 = k*q/r1^2\\E2 = k*q/r2^2\)

Dividing these equations gives:

\(E2/E1 = (kq/r2^2) / (kq/r1^2)\\E2/E1 = (r1/r2)^2\)

Solving for r2/r1 gives:

r2/r1 = √(E2/E1)

Inserting the given value will result in:

r2/r1 = √(145n/C ÷ 397n/C)

r2/r1 = √(0.365)

r2/r1 = 0.605

Therefore, the distance ratio r2/r1 is approximately 0.605. 

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Answer:

1. independent- if you studied. dependent- test scores

2. independent- behavior of students. dependent-student grades

3. independent- what you eat. dependent- amount of gas

4. independent- which bait you use. dependent- how much fish you catch

5. independent-if you talk to the plants or not. dependent- growth

6. independent- whether you eat breakfast or not. dependent-student performance

7. independent- which animal you test. dependent- speed of the animals

8. independent- how much candy you eat. dependent- cavities or not

9. independent- if you eat no sugar or no carbs. dependent- how much weight you lose

10. independent- which thing you measure. dependent- the measurements

Answer:

its 20 n because of the temeture

Explanation:

because

The anticipated time when he will appear again is 5:17 pm

The given parameters;

your speed, \(V_a\) = 3 m/s

the runner's speed, \(V_b\) = 14 m/s

the diameter of the lake, d = 2 miles = 3218.69 meters

The circumference of the lake is calculated as;

\(C = \pi d\\\\C = 3.142 \times 3218.69 = 10,113.12 \ m\)

Apply concept of relative velocity to determine the time, in which he will appear again.

By the time he appears again;

the distance you moved + distance he moved = circumference of the circle

\(V_at + V_bt = 10, 113.12\\\\(V_a + V_b)t = 10,113.12\\\\(3 + 14) t = 10,113.12\\\\17t = 10,113.12\\\\t = \frac{10,113.12}{17} \\\\t = 594.89 \ s = 9.92 \ \min \ \approx 10 \ \min\)

\(t\ \approx \ \ 5:17 \ pm\)

Thus, the anticipated time when he will appear again is 5:17 pm

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The total distance covered by the car is 4 kilometers, this is because we are taking into account displacement and not just distance.

Displacement is defined as the change in the position of an object while distance is an object's overall movement in a directionless fashion.

There are many different units that can be used to measure distance (inches, feet, miles, kilometers, and centimeters), but the meter is the SI unit. It is a scalar amount because it does not consider

On the number line, we can see the movement as follows

1 0 -1 -2 -3= 4km

Distance is always positive and never gets smaller as you move. Displacement can be negative, positive, or zero because it refers to the change in the position of an object with respect to its original location.

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Answer:

8 m/s to the left.

Explanation:

Applying,

V = d/t...................... Equation 1

Where V = Velocity of the car, d = distance, t = time

From the question,

Given: d = 24 meters, t = 3 seconds

Substitute these values into equation 1

V = 24/3

V = 8 m/s to the left.

Hence the velocity of the car is 8 m/s to the left.

Answer:

the image formed is virtual, this means that it is the prolongations of the rays that form the image. It is straight and magnified by the quantity

Explanation:

In a lens there is a relationship between the focal length, the distance to the object and to the image given by the constructor equation

          1 / f = 1 / o + 1 / i

where is the focal length, or and i are the distance to the object and the image respectively.

In the case presented, the object is within the focal length, so the image formed is virtual, this means that it is the prolongations of the rays that form the image. It is straight and magnified by the quantity

         m = - i / o

Answer:A

Explanation:Got it right :)

The length of the pendulum is measured from the lower part of the wooden clamp, because the center of gravity is at the center of the bob.

The simple pendulum's length, l is determined by measuring it from the point of suspension to the center of gravity (center of the bob), which is the place where all of this sphere's mass is concentrated.

The center of the mass will exactly reside in the center of the bob when we take the bob's dimensions into account.

As a result, the total length is now equal to the length of the string plus the bob's radius. The length is thus measured from the lower part of the wooden clamp.

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Work of art from the Amarna Period that is abstract or descriptive in nature.

That momentarily altered during the Amarna Period. The neck, arms, and hands were among the longer characteristics on the body. The traditional Egyptian painting form was briefly replaced by this strange new art form, which resulted in portraits of people that were virtually caricatures.

Religious iconoclasts are associated with the Amarna Period. Because he only worshiped the Aten, the pharaoh Amenhotep IV changed his name to Akhenaten. At Tell el-Amarna in Middle Egypt, he constructed a brand-new capital and cemetery.

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The work done in the spring is calculated to be 2.8 J

Hooke's law states that, the extension of a given material is directly proportional to the applied force as long as the elastic limit is not exceeded . First, we must bear in mind that the material must remain within the elastic limit for us to apply the Hooke's law in solving the problem.

Now;

From Hooke's law;

F = Ke

F = force applied

K = force constant

e = extension

F = W = mg =  2.50 - kg * 9.8 m/s^2 = 24.5 N

K = 24.5 N/ 2.76 * 10^-2

K = 888 N/m

e = F/K

F = W =  1.25 - kg * 9.8 m/s^2 = 12.25 N

e = 12.25 N/ 888 N/m = 0.014 m or 1.4 cm

Work done by an external agent = 1/2 Kx^2

= 0.5 * 888 * (8 * 10^-2)^2

= 2.8 J

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Answer:

a

Explanation:

Answer:

True

Explanation:

This is because an interstate is a road that connects 2 states. For example in the US Alabama-Georgia. Now its like a highway so the appropriate Measurement would be miles. (Resulting in the answer being True)

If a person walks 1km north, 5 km West, 3km south, and 7km east, then the resultant displacement vector would be 2.82 km toward the south east direction

What is displacement?

When an object moves in connection to a reference frame, such as when a passenger travels to the back of an airliner or a professor walks to the right in relation to a whiteboard, its position changes. This movement in position is described as displacement.

as stated in the issue If a person goes one kilometre north, five kilometres west, three kilometres south, and seven kilometres east,

The resulting displacement vector, as we know, is the shortest feasible distance between the beginning and ending points

In the horizontal direction, the outcome is

7-5 pointing east

2 kilometres to the eas

In the vertical direction, the outcome is

3–1 km to the south

2 kilometres to the south

\($\begin{aligned} \text { Resultant displacement } &=\sqrt{ }\left(2^{2}+2^{2}\right) \\ &=2 \cdot \sqrt{2} \\ &=2.82 \end{aligned}$\)

As a result, the resulting displacement vector is 2.82 kilometres to the southeast.

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Answer:

5.16 x 10^18 m^3

Explanation:

Answer:

work

Explanation:

When we observe a cluster to determine that only 15 solar masses have left the main sequence, we  expect to see any giant/ supergiant but, dwarfs are not visible.

i.) As the cluster's age increases, the mass of the main sequence turnoff stars decreases. According to the H-R diagram, stars with mass 3 times more than the mass of sun are large, hot and bright. They have short life span and are on the upper right region of the graph, hence they have low temperature and high luminosity. They have large diameter, so we can expect to see giants/ supergiant but disappear at the blink of our eye.

ii) For the white dwarfs to be visible, the temperature should be high, luminosity should be low and the mass should be less, almost 8 solar masses. Since, 15 solar masses have left the sequence, white dwarfs will not be visible.

Hence, giants/supergiant can be seen for a short period of time when 15 solar masses leave the main sequence, but white dwarf will not be seen.

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Answer:

The value is  \(v = 23.6 \ m/s\)

Explanation:

From the question we are told that

   The velocity is \(u = 13 \ m/s\)

    The  length of the slope is \(l = 460 \ m\)

    The height of the slope is \(h = 30 \ m\)

     The mass of the cyclist and her bicycle is \(m = 70 \ kg\)

   The drag force is  \(F = 15 \ N\)

Generally from the law of energy conservation we have that

      \(PE + KE_t = W * KE_b\)

Here \(PE\) is the potential energy at the top of the slope which is mathematically represented as

       \(PE = m* g * h\)

=>     \(PE = 70 * 9.8 * 30\)  

=>     \(PE = 20580 \ J\)

and   \(KE_t\) is the kinetic energy at the top of the slope which is mathematically represented as

        \(KE_t = \frac{1}{2} * m * u^2\)

=>     \(KE_t = \frac{1}{2} * 70 * 13^2\)

=>     \(KE_t = 5915 \ J\)

And  W is the work done by the bicycle which is mathematically represented as

       \(W = F * l\)

=>     \(W = 15 * 460\)

=>     \(W = 6900 \ J\)

and \(KE_b\) is the kinetic energy at the bottom of the slope which is mathematically represented as

       \(KE_b = \frac{1}{2} * m * v^2\)

=>    \(KE_b = \frac{1}{2} * 70 * v^2\)

=>    \(KE_b = 35 v^2\)

So

       \(20580 + 5915 = 6900 + 35 v^2\)

=>    \(v = 23.6 \ m/s\)

Answer:

t = 0.11 second

The time taken to reach the maximum height of the trajectory is 0.11 second

Explanation:

Taking the vertical component of the initial velocity;

Vy = Vsin∅

Initial velocity V = 2.15 m/s

Angle ∅ = 30°

Vy = 2.15sin30 = 2.15 × 0.5

Vy = 1.075 m/s

The height of the rock at time t during the flight is;

From the equation of motion;

h(t) = Vy×t - 0.5gt^2

g= acceleration due to gravity = 9.8m/s^2

Substituting the given values;

h(t) = 1.075t - 0.5(9.8)t^2

h(t) = 1.075t - 4.9t^2

The rock is at maximum height when dh/dt = 0;

dh(t)/dt = 1.075 - 9.8t = 0

1.075 - 9.8t = 0

9.8t = 1.075

t = 1.075/9.8

t = 0.109693877551 s

t = 0.11 second

The time taken to reach the maximum height of the trajectory is 0.11 second

The time it takes for the rock to reach the maximum height is 0.11 seconds.

Projectile motion is the motion experienced by an object thrown into space and it moves along a curved path.

The time (T) for the rock to reach maximum height is given by:

\(T=\frac{usin(\theta)}{g}\)

where u is the velocity = 2.15 m/s, g is the acceleration due to gravity = 9.81 m/s², θ = angle = 30 degree

\(T=\frac{usin(\theta)}{g}=T=\frac{2.15*sin(30)}{9.81}=0.11 \ s\)

Hence the time it takes for the rock to reach the maximum height is 0.11 seconds.

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Work is referred to as the displacement of an object when a force (push or pull) is applied to it while energy is referred to as the capacity to do the work. It exists in various forms like potential, kinetic, chemical, thermal, nuclear, electrical energy and so on. Power is the work done per unit of time.

power and energy are the same.
Work is usualy doing a task that gets rid of said energy.

4.44×\(10^{9}\) kg/s is the rate at which the sun mass is decreasing.

The Sun radiates energy through a process called nuclear fusion, where hydrogen atoms combine to form helium, releasing a tremendous amount of energy in the process. According to Einstein's mass-energy equivalence principle (E=mc²), this energy release corresponds to a decrease in mass.

To calculate the rate at which the Sun's mass is decreasing, we can use the formula ΔE = Δmc², where ΔE is the change in energy, Δm is the change in mass, and c is the speed of light.

Given that the Sun radiates energy at a rate of 4×10^26 W, we can substitute this value into the equation as ΔE and solve for Δm.

ΔE = 4×10^26 W

c = 3×10^8 m/s (speed of light)

Using the equation ΔE = Δmc² and rearranging it, we get Δm = ΔE / c².

Substituting the values, we have:

Δm = (4×10^26 W) / (3×10^8 m/s)²

Evaluating this expression, we find that the rate at which the Sun's mass is decreasing is approximately 4.44×10^9 kg/s.

This calculation demonstrates that the Sun's mass is gradually decreasing as it continuously radiates energy into space, primarily through the process of nuclear fusion in its core.

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Answer:

Convection is the transfer of heat from one place to another along with the motion of the object's particles. Water is a poor conductor. However, when the bottom water is heated, it turns out that the top water is also hot. This means that there is another way of transferring heat to the water, namely convection.

Explanation:

A convectional current is a process that involves the movement of energy from one place to another.

Answer:

it depends on the wind and any other conditions but if you have a controlled environment it should take 1 second to get 40 meters but it could go higher in which it could take about 5 seconds to go 200 meters

Explanation:

hope it helped

:)

Answer:

Air moves from regions of high pressure to regions of low pressure.

Explanation:

When airs moves horizontally from regions of high pressure to low pressure, it creates wind. If the difference between high and low pressure is greater, then it makes the wind faster.

Best of Luck!

Answer:

C. Air moves from regions of high pressure to regions of low pressure.

Explanation:

The air from the regions of high pressure will hold onto that pressure. So, when it moves into the regions with low pressure it'll turn into wind.  

The greater the pressure, the stronger the wind and vise versa.

Hope this helps!

Answer:

Proxima Centauri was discovered in 1915.

Robert Innes used a blink comparator to examine a photographic plate showing an area of 60 square degrees around Alpha Centauri.

The sixty-four-meter radio telescope at Parkes Observatory in Australia.

they used the James Webb Space Telescope and The sixty-four-meter radio telescope.

no nothing as been to Proxima Centauri it would take about 54,400 years to get there.  

getting to Proxima Centauri, our solar system's nearest star, would take four years and three months. And that is travelling at light speed, a velocity well beyond our reach. The quickest we could currently get to Proxima Centauri, using our fastest rockets, is 80,000 years.

Explanation:

The speed of the ball rebounding from the plate is approximately 13.2 m/s.

According to the graph, the greatest force exerted by the football on the force plate during impact is around 1900 N. The ball comes to a halt on the force plate before rebounding.

The kinetic energy of the ball before impact equals the kinetic energy of the ball after the rebound, according to the law of conservation of energy.

The speed of the ball rebounding can be calculated using the formula:

(1/2)mv²= (1/2)mv_0²

where m is the mass of the ball (0.43 kg), v is the speed of the ball rebounding, and v_0 is the initial speed of the ball (15 m/s).

Solving for v, we get:

v = sqrt(v_0² - (2F/m))

where F is the maximum force exerted on the force plate (1900 N).

Plugging in the values, we get:

v = sqrt(15² - (2*1900/0.43)) ≈ 13.2 m/s

Therefore, the speed of the ball rebounding from the plate is approximately 13.2 m/s.

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Answer:  Joe's displacement is 6

Step-by-step explanation:  

8-2=6

The displacement of Joe for the entire journey is 6 m backwards.

The given parameters;

Displacement is the change in the position of an object. It can also be described as the shortest distance between the final position and the initial position.

Displacement = Δx = x₂ - x₁

Displacement = -2 - (-8)

Displacement = -2 + 8

Displacement = 6 m backwards

Thus, the displacement of Joe for the entire journey is 6 m backwards.

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Given:

Weight 1 = 750N

Weight 2 = 480 N

V1 = velocity 1 = 5 m/s

First, calculate the masses of each one:

w = mg

g= 9.8 m/s

W1 = m1 g

750 = m1 (9.8)

m1= 750 /9.8 = 76.5 kg

m2 = 480/9.8 = 49 kg

Both momentums (p) add up to zero

p = mv

p1 + p2 = 0

m1v1 + m2v2 = 0

(76.5) (5 ) + (49)(v2) = 0

382.5 +49v2 = 0

382.5 = -49v2

382.5/-49 = v2

v2 = -7.8 m/s ( negative since velocity is in the opposite direction of the boy)