A mass of 0.34 kg is fixed to the end of a 1.4 m long string that is fixed at the other end. Initially at rest, he mass is made to rotate around the fixed end with an angular acceleration of 3.31 rad/s. What centripetal force must act on the mass after 8 s so that it continues to move in a circular path

If a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s, then the acceleration of the rock would be 8 meters/second².

The rate of change of the velocity with respect to time is known as the acceleration of the object.

As given in the problem a mountain goat starts a rock slide and the rocks crash down the slope 100 m. If the rocks reach the bottom in 5 s,

initial velocity of rock = 0 m/s

displacement = 100 meters

time = 5 seconds

s = ut + 0.5at²

100 = 0 + 12.5a

a = 100/12.5

  = 8 meters/second²

Thus, the acceleration of the rock would be 8 meters/second².

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At time t = 15/16, the object reaches a state of zero velocity, indicating a momentary pause in its motion. Prior to this time, the object moves in one direction, while after this time, it changes direction and moves in the opposite direction. The value t = 15/16 represents the specific moment when the object transitions from one direction to another and experiences a brief period of rest.

To find the velocity v(t) of the object at any time t, we differentiate the given distance function s(t) = 9 - 15t + 8t² with respect to time:

v(t) = d/dt (9 - 15t + 8t²)

Applying the power rule of differentiation, we obtain:

v(t) = -15 + 16t

Therefore, the velocity v(t) of the object at any time t is given by v(t) = -15 + 16t.

To determine when the object is at rest, we set the velocity v(t) equal to zero and solve for t:

-15 + 16t = 0

Adding 15 to both sides of the equation, we have:

16t = 15

Finally, dividing both sides by 16, we find

t = 15/16

Hence, the object is at rest when t = 15/16.

This means that at time t = 15/16, the object's velocity is zero, indicating that it is momentarily stationary. Before this time, the object is moving in one direction, and after this time, it is moving in the opposite direction. The value t = 15/16 represents the specific point in time when the direction of motion changes, and the object is at rest for an instant.

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Answer:2.24

Explanation:

Trust

Explanation:

To find the horizontal (eastward) component of the plane's velocity, we need to determine the component of the velocity in the eastward direction.

Given:

Velocity magnitude: 185 km/hr

Angle north of east: 36 degrees

To calculate the eastward component, we can use trigonometric functions. The eastward component can be found by multiplying the velocity magnitude by the cosine of the angle.

Eastward component = Velocity magnitude * cos(angle)

Eastward component = 185 km/hr * cos(36 degrees)

Using a calculator or trigonometric table, we find that cos(36 degrees) is approximately 0.809.

Eastward component ≈ 185 km/hr * 0.809

Eastward component ≈ 149.965 km/hr

Therefore, the horizontal (eastward) component of the plane's velocity is approximately 149.965 km/hr.

Answer:

9 lần

Explanation:

Answer:

Kinetic energy (k.e) varies directly as v² from the formula

K.E=(mv²/2)

if v=3 then K.e =v²=(3)²=9

Answer:

32cm³

Explanation:

Given parameters:

  Density of substance  = 2.7g/cm³

   Mass of substance  = 86.4g

Unknown:

Volume of substance  = ?

Solution:

Density is the mass per unit volume of a substance.

    Density  = \(\frac{mass}{volume}\)

Since the unknown is volume we solve for it;

   mass  = density x volume

   86.4 = 2.7 x volume

    volume  = \(\frac{86.4}{2.7}\)   = 32cm³

The induced voltage in the second case will be higher but the change in flux will be same in comparison to the first case.

In the experiment of measuring the change of flux and the induced voltage,

In the first case the magnet is dropped from a height 3cm of the coil and in the second case the the magnet is raised so that it drops 20cm before entering the coil.

When compare to the first case the second case will have a higher value of induced voltage but the change in flux will be same.

The induced voltage in a coil is given by,

E = dM/dt

dM is change in magnetic flux,

t is time,

As we can see that the time is inversely proportional to the induced emf and in the second case the magnet is drop from a height which allows it to go with the higher velocity in a less time that is why the induced EMF is more in magnitude but because the magnet is same in both the cases the change in flux is constant.

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When your friend trips and you extend your hand to help them up, you rotate your forearm so that your palm faces upward. This forearm movement is called supination. Supination is the movement of the forearm that results in the palm facing upward or forward.

It involves the rotation of the radius bone in the forearm around the ulna bone, creating a rotational movement at the elbow joint.

To better understand this movement, you can try a simple experiment. Extend your arm in front of you with your palm facing downward. Now, rotate your forearm by turning your hand so that your palm faces upward. This rotation is supination.

Supination is an important movement that allows us to perform various activities such as holding a bowl of soup or throwing a frisbee. It is the opposite movement of pronation, where the palm faces downward or backward. Pronation and supination work together to provide a wide range of motion and functionality to our forearms and hands.

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Answer:

B

Explanation:

because that includes games and sports

Explanation: Research highlights the individuals with ASDS are nutritionally vulnerable because they exhibit a selective or pick eating pattern and sensory sensitivity that predisposes them to restricted intakes.

I hope this helps!

Answer:

The velocity-time graph is illustrated and it shows the speed and direction that's traveled by the bicycle.

A velocity-time graph simply shows the speed and the direction that an object travels over a particular period of time.

It should be noted that they're also known as the speed-time graph. On the vertical axis is the velocity of the object.

Since 60 minutes = 1 hour 3 minutes will be converted to hour. This will be:

= 3/60 = 1/20 hour.

5 minutes will be changed to hour. This will be: = 5/60 = 1/12 hours.

Explanation:

The sun will become a red giant but it will not be a problem for humanity because the Earth will become inhabitable before that.

As per the research conducted it is said that the sun will eventually become a red giant and it engulf our planet Earth. The Earth will become extremely giant. This in turn will not become a problem for humanity, flora and fauna as the Earth will be completely inhabitable. All the forms of life will completely perish and no life form will exist. The planet will be engulfed by the red giant Sun. This is the reason it is not a problem for humanity.

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Answer:

 θ = 73.6º

Explanation:

To solve this exercise, let's use Newton's second law. Let's set a reference system where the x-axis is parallel to the inclined plane

with trigonometry we can find the components of the weight

           sin θ = Wₓ / W

           cos θ= W_y / W

           Wₓ = W sin θ

           W_ = W cos θ

Y axis  

           N - W_y = 0

           N = W_y

X axis

           Wₓ - fr = m a

            mg cos θ - fr = m a

indicate that friction is zero, fr = 0

            cos θ = a / g

            θ = cos⁻¹  \(\frac{a}{g}\)

let's calculate

            θ = cos⁻¹  \(\frac{2.77}{9.8}\)

            θ = 73.6º

The speed of the wind from the east with 3.7 m/s is pushing the paper airplane that flies with a velocity of 1.5 m/s north. Then the resultant velocity of the plane is 3.9 m/s.

Velocity is a physical quantity measuring the distance travelled by an object per unit time. It is a vector quantity thus characterized by a magnitude and direction.

The velocity of an object moving north relative to wind towards east can be expressed as a resultant velocity or relative velocity of the former as:

v = √v1² + v2²

Given v1 = 1.5 m/s

v2 = 3.7 m/s

then v = √1.5² + 3.7² = 3.9 m/s

Therefore, the total velocity of the paper airplane is 3.9 m/s.

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Answer:

Gas exchange takes place in the millions of alveoli in the lungs and the capillaries that envelop them. Inhaled oxygen moves from the alveoli to the blood in the capillaries, and carbon dioxide moves from the blood in the capillaries to the air in the alveoli.

Explanation:

Hope this helps      :)

To find the current in the resistor, we can use Ohm's Law and the concept of equivalent resistance. Thus, option A is correct.

First, let's calculate the equivalent resistance of the three cells connected in parallel. When resistors are connected in parallel, the reciprocal of the equivalent resistance is equal to the sum of the reciprocals of the individual resistances:

1/Req = 1/R1 + 1/R2 + 1/R3

Given that R1 = R2 = R3 = 22 Ω (internal resistance of each cell), we can substitute the values:

1/Req = 1/22 + 1/22 + 1/22

1/Req = 3/22

Taking the reciprocal of both sides, we find:

Req = 22/3 Ω

Now we can use Ohm's Law to calculate the current (I) in the resistor. Ohm's Law states that the current flowing through a resistor is equal to the voltage across it divided by its resistance:

I = V/R

Given that V = 1.1 V (emf of each cell) and R = 32 Ω (resistance), we can substitute the values:

I = 1.1/32

Calculating this value, we find:

I ≈ 0.034375 A

Therefore, the current in the resistor is approximately 0.034375 A.

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Answer:

6.0 m/s vertical and 9.0 m/s horizontal

Explanation:

For the vertical component, we use the formula:

Then we solve for y:

And for the horizontal component, we use the formula:

Then we solve for x:

So the answer is " 6.0 m/s vertical and 9.0 m/s horizontal".

Answer:

Sorry if I kwon the

answer I telling u

the answer sorry

The energy of a photon is given by the equation E = hf, where h is Planck's constant and f is the frequency of the photon. Substituting the given values, we get:

E = (6.6 x 10^-34 J s) x (4 x 10^4 Hz)
E = 2.64 x 10^-29 J

Therefore, the energy of a photon with a frequency of 4 x 10^4 Hz is 2.64 x 10^-29 Joules.

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The final velocity of the object is 29.75 m/s.

Acceleration is rate of change of velocity with time. Due to having both direction and magnitude, it is a vector quantity. Si unit of acceleration is meter/second² (m/s²).

The acceleration of the object = 3.5 m/s²

The initial velocity of the object = 0 m/s.

Time interval = 8.5 second.

Hence, form basic kinematics, we can write the final velocity becomes = initial velocity  + acceleration × time interval

= 0 + 3.5 × 8.5 m/s

= 29.75 m/s

Hence,  the final velocity of the object is 29.75 m/s.

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Your question is incomplete but most probably the question was:

What is the final velocity of an object that accelerates from rest at 3.5m/s² for 8.5 s?

The number of water molecules which are ionized in 1L of pure water at pH 7.0 is equivalent to 6×10¹⁶ molecules.

The number as a percentage of the total water molecules is 1.8×10⁻⁷ % .

At pH 7.0, [H⁺]=10⁻⁷ M, so 10⁻⁷  moles of water molecules have ionized. This is almost equal to (10⁻⁷  mol)(6×10²³ molecules. mol⁻¹) = 6×10¹⁶ molecules.

For the second part of the question let the concentration of water be 55.5 M, then there are (55.5 mol)(6×10²³ molecules.mol⁻¹) = 3.3×10²⁵ molecules of water in 1L. The fraction of ionized molecules is 6×10¹⁶ molecules)/(3.3×10²⁵ molecules) = 1.8×10⁻⁹ or 1.8×10⁻⁷ %.

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The unbalanced reaction is

a NH₄NO₃   ⇒   b N₂ + c O₂ + d H₂O

where a, b, c, and d are unknown constants.

Count how many times each element appears on either side of the reaction.

• reactants:

N = 2a, H = 4a, O = 3a

• products

N = 2b, O = 2c + d, H = 2d

Now we solve the system of equations,

2a = 2b … … … [1]

4a = 2d … … … [2]

3a = 2c + d … … … [3]

From [1] we immediately have

a = b

In [2], we get

2a = d

and substituting for d in [3] gives

3a = 2c + 2a

a = 2c

Let c = 1; then

• a = 2×1 = 2

• b = 2

• d = 2×2 = 4

So, the balanced reaction is

2 NH₄NO₃   ⇒   2 N₂ + O₂ + 4 H₂O

The total rotational inertia of the pizza dough is 0.0146 kg·m^2.

The rotational inertia of the dough can be calculated using the formula for the rotational inertia of a solid disk rotating around its axis:

I_dough = (1/2) * m_dough * r^2

Substituting the given values, we get:

I_dough = (1/2) * 0.34 kg * (0.23 m)^2 = 0.0105 kg·m^2

The rotational inertia of the rim can be approximated as that of a circular ring rotating around its axis:

I_rim = m_rim * (r_outer^2 + r_inner^2)/2

Substituting the given values:

I_rim = 0.16 kg * ((0.23 m)^2 + (0.02 m)^2)/2 = 0.0041 kg·m^2

Therefore, total rotational inertia of pizza dough:

I_total = 0.0105 kg·m^2 + 0.0041 kg·m^2 = 0.0146 kg·m^2

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Explanation:

We'll use the free fall formula, which is,

y = 0.5*g*t^2

where

In this case,

Note: The freefall assumes the object is not thrown down, and simply dropped (so initial velocity is 0).

So,

y = 0.5*g*t^2

y = 0.5*10*4^2

y = 0.5*10*16

y = 5*16

y = 80

The object has fallen about 80 meters. This value is approximate because g = 10 is approximate. Use g = 9.81 for a more accurate value (though even then this value of g isn't exact either). In this case, your teacher has opted to use g = 10.

Another reason why 80 meters is an approximate value is because we haven't accounted for air resistance. As the object falls through the air, the air particles push up and resist the movement of the falling object, and therefore slow it down. Think of a parachute. For entry level physics courses, you'll ignore air resistance as it greatly complicates the problem. Though it's handy to keep it in mind for later physics courses down the road.

Option d is Correct. When Sound A's intensity level is 20 dB higher than Sound B's intensity level, Sound B's intensity level is 100 times higher than Sound A's intensity level.

A sound wave's intensity is expressed in decibels (dB), a logarithm with a base of 10. The sound intensity will rise by a factor of 10 for every 10 dB increase in intensity level. The test subject is instructed to assess the two sounds' intensities after being presented with a comparison of their decibel (dB) levels of intensity.

The formula for determining the intensity level in dB is: = 10Log(I/I0), where I is the sound's intensity and I0 is the lowest level of intensity perceptible to human ears. The term "log" refers to the base-10 logarithm.

The intensity levels of two sounds A and B would be A = 10Log(IA/I0) and B = 10Log(IB/I0), respectively, and they could be subtracted to produce B- A = 10Log(IB/IA).

According to the question,

since B is 20 dB louder than A, B- A must equal 20 dB. 20 = 10Log(IB/IA), or Log(IB/IA) = 2, follows. Thus, IB/IA = 102 = 100 is obtained.

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Correct Question:

The intensity level of Sound B is 20 dB greater than the intensity level of Sound A. How many times greater is the intensity level of Sound B than the intensity level of Sound A?

a. 2

b. 10

c. 20

d. 100

The speed of the car at the bottom of the dip is approximately 18.0 m/s.

To solve this problem, we can use the formula for centripetal force:

F = m*v^2 / r

where F is the centripetal force, m is the mass of the roller coaster car and passengers, v is the speed of the car, and r is the radius of curvature.

We know that the weight of the passengers increases by 53%, which means their mass also increases by 53%. Let's say the original mass of the car and passengers is m0, then the new mass is:

m = m0 * 1.53

We also know that the radius of curvature is 33m. So we can rewrite the formula as:

F = m0 * 1.53 * v^2 / 33

Now we need to find the speed of the car at the bottom of the dip. At this point, the centripetal force is equal to the weight of the car and passengers, which we can calculate using their increased mass:

F = m * g

where g is the acceleration due to gravity (9.81 m/s^2).

Putting these equations together, we get:

m0 * 1.53 * v^2 / 33 = m * g

Substituting m = m0 * 1.53, we get:

m0 * 1.53 * v^2 / 33 = m0 * 1.53 * g

Simplifying, we get:

v^2 = 33 * g

Taking the square root, we get:

v = sqrt(33 * g)

Plugging in g = 9.81 m/s^2, we get:

v = sqrt(323.93) ≈ 18.0 m/s

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Answer:

152,155 J

Explanation:

115,333 + 36,822 = 152,155J

An encryption can be defined as a form of cryptography and it typically involves the process of converting or encoding information in plain text into a code, known as a ciphertext. Generally speaking, an information or data that has been encrypted it can only be accessed and deciphered by an authorized user.

This ultimately implies that, an encryption simply refers to a utility which can be used by an end user to to secure his or her sensitive information from unauthorized access or theft by a hacker (attacker).

In Computer programming, some examples of encryption algorithms include the following:

In Computer technology, a defragmentation utility helps to reorganize (rearrange) the data stored on a disk drive and as such, it would make a computer system to run faster. Also, a compression utility is a type of utility which can be used to reduce the size of a large video file that is to be sent through an email.

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