A 0.500 kg object tied to a string is swung around a person's
head in a horizontal circle. The length of the string is 1.00 m
and the maximum force the string can withstand without
breaking is 25.0 N. What is the maximum speed the object may
be swung without breaking the string?

30.76/s is the angular speed of the car traveling at a constant speed of 14m/s and having a tire of  diameter of 0.91m

The rate of change of angular displacement is known as Angular velocity . The unit of angular velocity is radians/second. The same formula describes both angular velocity and angular velocity. Angular velocity is a vector quantity that expresses both direction and magnitude, but angular velocity expresses only magnitude. Angular velocity (ω) is a scalar measure of rotational speed. The angular distance traveled in one full rotation is 2π and the time is duration (T).

here from the given data that is a constant speed of 14. It tires have a diameter of 0.91

ω=θ/t

V=2πr/t

=14m/s

ω=v/r

=14/0.45

=30.76

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the question you provided was incomplete and I have added the incomplete part that is to find the angular speed of the given data.

Answer:

The atoms come from the mother; it can be comprimised of its diet, nutrience within, and other enzymes within the canine body. According to the law of conservation of matter, they are transformed by never destroyed or created so they must have come from inside or outside in the kother's environment.

Hope this helps.

Answer:

3.08m/s²

Explanation:

Given parameters:

Radius = 20m

Tangential velocity  = 7.85m/s

Unknown:

Centripetal acceleration  = ?

Solution:

Centripetal acceleration is the acceleration of a body along a circular path.

 it is mathematically given as;

       a  = [tex]\frac{v^{2} }{r}[/tex]  

v is the tangential velocity

r is the radius

      a  = [tex]\frac{7.85^{2} }{20}[/tex]   = 3.08m/s²

Answer:

the angle at which light bends when it enters a different medium depends on its change in speed. The greater the change in speed, the greater the angle of refraction is. For example, light refracts more when it passes from Air to Diamond then it does when it passes from Air to wate.

Answer: Refraction

Explanation:

Answer:

66.8°C

Explanation:

dQ = m*cp*dT where:

m = mass of block

cp = specific heat of iron

dT = temperature change

-------

dQ = 3.5 10^4 J

cp = 0.45 Kj / Kg = 450 J / Kg

3.5 10^4 = 2.3 * 450 * dt-----dt = 35000 / 450 * 2.3 = 33.8 °

-------

Final temperature = 33 + 33.8 = 66.8 °C

Answer:

a ) Vf = 171.7 [m/s]

b) y = 1502.6[m]

Explanation:

a) To solve this problem we must use the following equation of kinematics.

[tex]v_{f}=v_{o}+g*t[/tex]

where:

Vf = final velocity [m/s]

Vo = initial velocity = 0 (freefall, without initial velocity)

g = gravity acceleration = 9.81 [m/s²]

t = time = 17.5 [s]

Now replacing:

[tex]v_{f} = 0 + 9.81*17.5\\v_{f} = 171.7[m/s][/tex]

Note: The gravity acceleration is positive, since the monkey is moving in the direction of the gravity acceleration.

b)

Now using another equation of kinematics we can calculate the distance traveled.

[tex]v_{f}^{2}=v_{o}^{2}+2*g*y[/tex]

where:

y = distance traveled [m]

[tex]171.7^{2}=0 +2*9.81*y\\y=29480.9/(2*9.81)\\y=1502.6[m][/tex]

Answer:

A

Explanation:

When coal is burned it releases many harmful chemicals into the air, such as methane (greenhouse gas) and contributes to global warming

Answer:

1962 joules

Explanation:

m = 10 kg

h = 20 m

g = 9.81 ms^-2

PE = ?

PE = MGH

PE = 10 x 9.81 x 20

PE = 1962 joules

Answer:

Force = Mass × Acceleration

F = MA

F = 30kg × 3ms^-2

F = 90 N

Answer:

Yes it is matter

Explanation:

In physics, usually the word "electricity" isn't really used. "Electric current" is more common, and is defined as the flow of charges, where the charges are held by particles (electrons). Electrons have mass, so they are definitely matter.

Answer:

No change

Explanation:

In a simple harmonic motion, we have that

y = A sin(wt), where

w is the said angular frequency

The angular frequency w, is given as √(k/m)

If the amplitude, A is doubled it will have no corresponding effect on the angular frequency, w, because they do not depend on each other. A is independent of w, and w is independent of A. And as such, no matter the change in either, it doesn't affect the other

A bowling ball results in kinetic friction compared to a sliding bowling ball.

According to Conservation of momentum, if a bowling ball hits some pins, the momentum that lost by the bowling ball is known to be equal to the momentum obtained by the pins.

The friction that is used in bowling is kinetic friction because the more oil that is placed down, the lower the friction that is found between the ball and that of the lane surface. The  little friction, the stronger it is for the bowler to be able to send the ball in a curved path and thus the formula to find the kinetic friction is know to be : µk=F k/mg.

Therefore, A bowling ball results in kinetic friction compared to a sliding bowling ball.

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Answer:

The car's acceleration is [tex]3\ m/s^2[/tex]

Explanation:

Constant Acceleration Motion

It's a type of motion in which the velocity of an object changes uniformly over time.

The final speed is given by:

[tex]v_f=v_o+at[/tex]

Where a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

Using the equation above we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]

The car is initially at rest (vo=0) and t=10 seconds later it's moving at vf=30 m/s, thus its acceleration is:

[tex]\displaystyle a=\frac{30-0}{10}[/tex]

[tex]\displaystyle a=\frac{30}{10}=3[/tex]

[tex]a = 3\ m/s^2[/tex]

The car's acceleration is [tex]3\ m/s^2[/tex]

The acceleration of the plane after 5 seconds will be 14 m/s².

The rate of change of velocity with respect to time is called acceleration. Mathematically -

a = Δv/Δt

Given is a small plane that starts from rest and accelerates uniformly to the east to a takeoff velocity of 70 m/s in 5 seconds.

The acceleration of the body can be calculated as follows -

a = Δv/Δt

a = (70 - 0)/(5 - 0)

a = 70/5

a = 14 m/s²

Therefore, the acceleration of the plane after 5 seconds will be 14 m/s².

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Answer:

9.2m

Explanation:

Think of the woman's path as a triangle. She walks 7m horizontally and 6m vertically. These are the two legs of a triangle. In order to find her distance from the origin, we can use pythagorean theorem to find the hypotenuse of the triangle. The hypotenuse will give us the direct measurement from the origin (0,0) to her current point (7,6).

a²+b²=c²

(7)²+(6)²=c²

49+36=c²

85=c²

Find the square roots of both sides to get c=9.21954...

Round your answer to the nearest 10th:

c=9.2m

The woman is approximately 9.2m from the origin.

Answer:

35.28m/s

Explanation:

Given

Time t = 3.6secs

Required

Final speed v

Using the equation of motion;

v = u + gt

Substitute;

v = 0 + 9.8(3.6)

v = 0 + 35.28

v = 35.28m/s

Hence the speed of the marble is 35.28m/s

Answer:

This question lacks options, the options are:

A) It would increase by a factor of four.

B) It would decrease by a factor of four.

C) It would be halved.

D) It would be doubled.

E) It would not change.

The answer is C

Explanation:

The relationship between the pressure and volume has been explained by BOYLE in his law. Boyle's law states that, at a constant temperature, the volume is inversely proportional to the pressure of a gas. This means that as the VOLUME INCREASES, the PRESSURE DECREASES and vice versa.

P ∝ 1/V or V ∝ 1/P

Hence, based on this explanation, when the volume of a gas in a closed container is doubleb, its pressure will be reduced by half i.e. 1/2. In other words, the pressure will be HALVED.

The mass of the cylinder made of lead is 644.33 kg.

Mass can be defiend as the quantity of matter a contained in a body. The S.I unit of mass is kilogram (kg).

To calculate the mass of the cylindrical lead, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute the values above into equation 1

Hence, the mass of the cylinder made of lead is 644.33 kg.

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Answer:

v = 1247.92 m/s

Explanation:

The formula for kinetic energy is given as follows:

[tex]K.E = \frac{1}{2}mv^2[/tex]

Another formula that is used for Kinetic Energy is given as:

[tex]K.E = \frac{3}{2}KT[/tex]

Comparing both formulae for K.E:

[tex]\frac{1}{2}mv^2 = \frac{3}{2}KT\\\\mv^2 = 3KT\\v = \sqrt{ \frac{3KT}{m}}[/tex]

where,

v = rms speed of helium molecule = ?

K = Boltzmann Constant = 1.38 x 10⁻²³ J/k

T = Absolute Temperature = 250 K

m = mass of helium molecule = 6.646 x 10⁻²⁷ kg

Therefore,

[tex]v = \sqrt{\frac{(3)(1.38\ x\ 10^{-23}\ J/k)(250\ k)}{6.646\ x\ 10^{-27}\ kg}} \\\\[/tex]

v = 1247.92 m/s

Answer:

The appropriate response will be "Infrared has a longer wavelength and lower photon energy".

Explanation:

Answer:

c. 1.47

Explanation:

       [tex]\frac{n_{i} }{n_{r} } = \frac{sin_{\theta r} }{sin_{\theta i} } (1)[/tex]

       [tex]n_{i} = \frac{1}{sin_{\theta i} } = \frac{1}{sin 43} = 1.47 (2)[/tex]

Answer:

16m/s

Explanation:

Given the following data;

Force, F = 16N

Mass, m = 5kg

Time, t = 5 seconds.

First of all, we would find the acceleration of the object.

Force is given by the multiplication of mass and acceleration.

Mathematically, Force is given by the formula;

[tex] F = ma[/tex]

Where;

Making acceleration (a) the subject, we have;

[tex]Acceleration, a = \frac{F}{m}[/tex]

Substituting into the equation;

[tex]Acceleration, a = \frac{16}{5}[/tex]

Acceleration, a = 3.2 m/s²

Now, to find velocity;

We would use the first equation of motion given by the formula;

[tex] V = U + at[/tex]

Where;

We know that acceleration due to gravity is 9.8m/s² and initial velocity (U) is 0 since the object is at rest.

Substituting into the equation, we have;

[tex] V = 0 + 3.2*5[/tex]

[tex] V = 0 + 16[/tex]

Velocity, V = 16m/s.

Hello!

[tex]\large\boxed{F = 100N}[/tex]

Use the equation F = m · a (Newton's Second Law) to solve. Substitute in the given values:

F = 5 · 20

F = 100N

Answer:

20000 Pa

Explanation:

Pressure is defined as the force per unit area.

Mathematically : P =F/A    where F is force and A is area

Force = 500 N

Area= 0.025 m²

P= 500/0.025

P= 20000 Pa

Answer:

A = 2 m from fulcrum

Explanation:

Product of anti clockwise  = Product of  clockwise moment

5 × 4 = 10 × A

20 = 10 x A

A = 20 / 10

A = 2 m from fulcrum

Answer:

15mil/hr

Explanation:

To make the average speed in mph, we need to get the 40 minutes to an hour. We multiply 40 minutes by 3/2 to get 60 minutes or an hour.

40 x (3/2) = 60

This means that we need to multiply 10 miles by 3/2:

10 x (3/2) = 15 (we get 15 miles)

Average speed is equal to distance over time.

Average speed is 15mil/hr.

Hope this helps!

Complete Question

Argon gas (a monatomic gas) is sometimes used to insulate a double-pane window for purposes of insulation. In a particular window, the space in between two glass sheets has a volume of [tex]0.025 \ m^3[/tex]. If the temperature of the gas is 290 K. what is the rms speed of the gas atoms? The atomic mass of Argon is 39.9 u.(l u= 1.66x10-27 kg) Enter your answer in m/s

Answer:

The value is [tex]V_{rms} = 425.75 \ m/s[/tex]

Explanation:

From the question we are told that

     The volume of the space in between the two glass sheet is  [tex]a = 0.025 \ m^3[/tex]

     The temperature of the gas is [tex]T = 290 \ K[/tex]

       The atomic mass of Argon is  [tex]m = 39.9 \ u = 39.9 * 1.66 *10^{-27} = 6.623 *10^{-26} \ kg[/tex]

Generally the root mean square velocity is mathematically represented as

      [tex]V_{rms} = \sqrt{\frac{3 K T}{ m } }[/tex]

Here K is the Boltzmann constant  with value [tex]k = 1.38 *10^{-23} \ m^3 \cdot kg \cdot s^{-2} \cdot K^{-1}[/tex]

So

     [tex]V_{rms} = \sqrt{\frac{3 * 1.38 *10^{-23} * 290 }{ 6.6234*10^{-26} } }[/tex]

=>   [tex]V_{rms} = 425.75 \ m/s[/tex]

The weight W palced at a distance of 45 cm on a half meter ruler pivote at its midpoint is 15 N.

To calculate the weight W, we use the principle of moment.

It states that, if a body is at equilibrium, the sum of clockwise moment is equal to the sum of anticlockwise moment.

From the question,

Clockwise moment (F×d ) = Anticlockwise moment (W×D).......... Equation1

Make W the subject of the equation

Given:

Substitute these values into equation 2

Hence, the weight W is 15 N

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Answer: it will take 1.9 × 10⁶ yrs for one mole of the radioactive material to decay so that just one atom remains

Explanation:

Given that;

Half life t_1/2 = 24,000 years

initial amount of radio active element = 1 mole

now one mole of a substance has Avagadro number of atoms which is initially 6.023 × 10²³ which are present and finally only 1 atom is left

using the formula

t_1/2 = 0.693/k

In[ N₀/N_t] = kt

N₀ is the initial amount, N_t is the amount left after t time, t is the time, k is the rate constant.

now we substitute

t_1/2 = 0.693/k

k = 0.693/ t_1/2

k = 0.693 / 24,000 years

k = 0.000028875 yr⁻¹

so

In[ N₀/N_t] = kt

t = 1/0.000028875 yr⁻¹ In [ 6.023 × 10²³ / 1 ]

= 34632.0346 In[6.023 × 10²³]

= 34632.0346 × 54.7550

= 1896277.0545 yrs ≈ 1.9 × 10⁶ yrs

Therefore it will take 1.9 × 10⁶ yrs for one mole of the radioactive material to decay so that just one atom remains

Starting at New Moon, The visual distance increases for about 2 weeks, then decreases for about the next 2weeks, until the next New Moon.

On the average, it changes by about 12° per day.