Rattlesnake Frequency A timber rattlesnake (Crotalus horridus) shakes its rattle at a characteristic frequency of about 3100 shakes per minuteWhat is this frequency in shakes per second?

(a) The initial velocity in component vector form is (14.38 i + 10.83 j), m/s.

(b) The velocity of the ball as it lands in component vector form is (14.38 i + 10.88 j), m/s.

(c) The range of the ball is 31.78 m.

(d)  The assumption made is the frame of reference is ground level.

The component form of the initial velocity if written as;

Vx = V cosθ

Vy = V sinθ

where;

Vx = 18 m/s  x  cos(37) = 14.38 i, m/s

Vy = 18 m/s x sin(37) = 10.83 j, m/s

Vi = (14.38 i + 10.83 j), m/s

The time of motion of the ball to reach maximum height is calculated as follows;

t = (Vsinθ)/g

t = (18 x sin37)/g

t = (10.83)/9.8

t = 1.11 s

The final vertical velocity of the ball is calculated as;

Vyf = Vh + gt

where;

Vfy = 0 + 1.11 x 9.8

Vyf = 10.88 m/s

The final horizontal velocity will be equal to initial horizontal velocity since horizontal motion is not affected by gravity.

The velocity of the ball when it lands in component vector form is;

Vf = (Vxf + Vyf), m/s

Vf = (14.38 i   +   10.88 j), m/s

The range of the ball is calculated as;

R = (V²sin2θ)/g

R = (18² x sin(2 x 37))/9.8

R = 31.78 m

Thus, the assumption that have been made about the frame of reference is that is was projected from a ground level and returned to the same ground level.

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Okay, here are the steps to solve this problem:

1) The seesaw is balanced when the sum of moments is 0.

2) The moment created by a force depends on the force and the perpendicular distance from the pivot point.

3) The 20 kg child sits 1 meter from the pivot. So its moment is 20 * 1 = 20 kg*m.

4) We want to find the distance for the 40 kg child to create a moment that balances the 20 kg child's moment.

5) So the moment of the 40 kg child must be 20 kg*m.

6) The moment depends on force and distance. We know the force is 40 kg.

7) So we set: 40 kg * distance = 20 kg*m

8) And solve for the distance: distance = 20 / 40 = 0.5 meters

Therefore, for the seesaw to balance with a 20 kg child 1 meter from the pivot and a 40 kg child on the other side, the 40 kg child should sit 0.5 meters from the pivot point.

Let me know if you have any other questions!

The vector of the graph distance, displacement, velocity and duration of the motion of the cyclists as follows;

(a) Attached please find the drawing showing the vector of the motion of the cyclists

(b) The total distance traveled is 130 km

(c) The displacement is approximately 107 km

(d) The race last for approximately 3.0

(e) The average velocity is approximately 35.23 km/h

(f) The direction of the bus is; South 36.5° West

A vector quantity is one that has both magnitude and direction

(a) Please find attached the vector diagram which describes the motion of the cyclist

(b) The total distance traveled by the cyclist is given by the sum of the distances given in the question as follows;

Total distance, d = 45.0 km + 50.0 km + 35.0 km = 130 km

(c) The displacement is a vector quantity that specifies the change in the position of the cyclist from their initial position to their position after the race, which is found using the magnitude of the horizontal and vertical motion of the cyclists, and Pythagorean theorem follows;

Taking the direction towards the East as the x-direction, and the direction towards the North as the y-direction, we have;

The sum of the motion in the x-direction of the cyclists, x, is found as follows;

x = 50 × sin(37°) + 35 ≈ 65.09

The sum of the motion in the y-direction, y = 45 + 50 × sin(37°) ≈ 84.93

The displacement of the cyclist using unit vector notation is therefore;

\(\overrightarrow{d}\) = 65.09·i + 84.93·j

The magnitude of the displacement is given by Pythagorean theorem as follows;

\(|\overrightarrow{d}|=\sqrt{65.08^2+84.93^2} \approx 107\)

The magnitude of the displacement of the cyclists ≈ 107 kilometers

(d) The duration of the race, which is the time, is given by the ratio of the distance to the average speed as follows;

\(Time,\, t= \dfrac{130 \, km}{42,8 \, km/hour} \approx 3.04 \, hours\)

The duration of the race, t ≈ 3.04 hours

(e) The average velocity, \(\overline v\) is found using the formula;

\(Average \ velocity, \overline v = \dfrac{Displacement }{Time \ duration \ of \ displacement}\)

Which gives;

\(Average \ velocity, \overline v = \dfrac{107, \, km}{3.04 \, hours} \approx 35.23\)

\(\overline v\) ≈ 35.23 km/h

(f) The direction of the bus is given by the arctangent of the ratio of the vertical to horizontal component of the velocity, as follows;

\(\theta = arctan(\dfrac{84.93}{65.09} \approx 53.53 ^{\circ}\)

The above angle is the same as 90° - 53.53° ≈ 36.65°

The direction the bus headed is South 36.65° West

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The correct answer is option C.

To find:

Which of the given statements is true?

Explanation:

The incompressible flow is the one in which the mass of the fluid per unit volume does not change. That is the fluid can not be compressed.

In other words, the incompressible flow of a fluid is the one in which the density of the fluid remains the same with the change in the time or location.

Final answer:

Thus the correct answer is

Answer:

C

Explanation:

Reflection.

The deflection of point C is 10.11 × 10^-3 inches for the aluminum rod and 3.98 × 10^-3 inches for the steel rod.

Deflection is the bending or shifting of a moving object's direction caused by an outside force or field.

We must utilize the equilibrium equations to ascertain the reactions at A and D. Let Ra and Rd represent the corresponding reactions at A and D. Considering point D for a moment, we have:

Ra × 10 + 20 × 8 = Rd × 10

Ra = (Rd × 10 - 160) / 10

If we assume vertical equilibrium, we get:

Ra + Rd = 20

The result of putting the first equation into the second equation is:

[(Rd × 10 - 160) / 10] + Rd = 20

Rd is solved for to yield:

Rd = 12.8 kip

Reintroducing Rd into the first equation yields:

Ra = 7.2 kip

There are consequently 12.8 kips and 7.2 kips, respectively, in the reactions at A and D.

There are consequently 12.8 kips and 7.2 kips, respectively, in the reactions at A and D.

The formula for a cantilever beam's deflection under a point load can be used to calculate the deflection at point C and is as follows:

δ = (P L^3) / (3 E I)

where the cantilever's length L, the load P, the elasticity modulus E, and the moment of inertia I are all integers.

The cantilever for the aluminum rod (AC) has a length of 10 inches and a diameter of 1 inch, hence the moment of inertia is:

I = (π/4) × (1/2)^4 = 0.04909 in^4

By substituting the provided values, we obtain:

δ = (20 × 10^3 × 10^3 × 10^3 × 10^3 × 10^3 × 10) / (3 × 10.4 × 10^6 × 0.04909)

= 10.11x10^-3 in.

With a cantilever length of 8 inches and a diameter of 1.5 inches for the steel rod (CD), the following is the moment of inertia:

I = (π/4) × (3/4)^4 = 0.13796 in^4

By substituting the provided values, we obtain:

δ = (20 × 10^3 × 10^3 × 10^3 × 10^3 × 10^3 × 8) / (3 × 29 × 10^6 × 0.13796)

δ= 3.98 x 10^-3 in.

Consequently, for the aluminum rod and the steel rod, point C deflects by 10.11x10^-3 inches and 3.98x10^-3 inches, respectively.

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In an adiabatic process, P fluctuates alongside V instead of remaining constant.

A thermodynamic process known as an adiabatic process occurs when no energy is transported as heat across the system's boundaries. The system's overall heat remains constant since there is no heat exchange with the environment.

In thermodynamics, the term "adiabatic" refers to a state imposed on a system, a condition that precludes any movement of heat into or out of the system. The word adiabatic means "not passing through." A surface in the atmosphere where the pressure is constant along the whole length of the surface is known as an isobaric surface.

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Answer:   the acceleration of the masses is given by = 0, which means the angular acceleration of the pulley is zero. This implies that the masses m and 2m move with constant velocity,  they are in equilibrium.

The time elapsed when the car comes to complete stop is 4.6 s.

The given parameters;

The time elapsed when the car comes to complete stop is calculated as follows;

\(v_f = v_0 + at\)

where;

\(v_f\) is the final velocity of the car when it comes to a complete stop

\(0 = 23 + (-5)t\\\\0 = 23 - 5t\\\\5t = 23\\\\t = \frac{23}{5} \\\\t = 4.6 \ s\)

Thus, the time elapsed when the car comes to complete stop is 4.6 s.

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Mechanical energy changes when a roller coaster starts at a height of 40 meters and reaches a height of 20 meters. The potential energy decreases, while the kinetic energy increases.

When a roller coaster starts at a height of 40 meters and reaches a height of 20 meters, mechanical energy changes. In physics, mechanical energy is the sum of potential and kinetic energy that is present in the objects. When an object is moved, it gains or loses energy, thus the mechanical energy changes. There are two forms of mechanical energy, namely kinetic energy and potential energy. Kinetic energy is the energy that a moving object possesses due to its motion, while potential energy is the energy that an object possesses due to its position or shape.
In the case of a roller coaster, when it starts at a height of 40 meters, it has potential energy that is equal to its mass multiplied by the acceleration due to gravity multiplied by its height. As it moves down the track, the potential energy gets converted into kinetic energy, which is the energy of motion. When the roller coaster reaches a height of 20 meters, it has a lower potential energy compared to when it started. The difference in potential energy is equal to the amount of work done by the force of gravity in bringing the roller coaster down from a height of 40 meters to a height of 20 meters. At the same time, the roller coaster has a higher kinetic energy than when it started, as it gained speed during the descent.
Therefore, in summary, mechanical energy changes when a roller coaster starts at a height of 40 meters and reaches a height of 20 meters. The potential energy decreases, while the kinetic energy increases.

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Answer:

The higher the amplitude, the higher the energy.

Answer:

I think we should use supersaturated solution

by filtering and evaporation.

Explanation:

An insulating vessel contains 80 g of a block of ice at -12 °C. If 450 g of water at 60 °C is added to the ice in the vessel, Energy required for complete melting = \(80 g X (3.33 X 10^3 J/kg)\).

To determine whether the ice will soften absolutely and calculate the final temperature of the system, we need to do not forget the strength transferred among the ice and water at some stage in the procedure.

(i) To decide if the ice will melt completely, we need to examine the energy won by using the ice to the electricity required for complete melting.

Energy received by way of the ice = mass of ice × particular heat capacity of ice × alternate in temperature

Energy won by using the ice = eighty g × 2100 J/(kg·°C) × (final temperature - (-12°C))

Energy required for complete melting = mass of ice × latent warmth of fusion of ice

Energy required for whole melting = 80 g × (3.33 × 10^3 J/kg)

If the strength received via the ice is extra than or same to the electricity required for entire melting, the ice will soften completely.

(ii) To calculate the very last temperature of the gadget, we want to keep in mind the power transferred between the ice and water.

Energy won by the water = mass of water × unique heat ability of water × trade in temperature

Energy received by using the water = 450 g × 4200 J/(kg·°C) × (final temperature - 60°C)

Since electricity is conserved inside the machine, the power gained by means of the ice and water need to be identical:

Energy gained through the ice = Energy won by the water

Using the equations above, we will installation the following equation:

80 g × 2100 J/(kg·°C) × (very last temperature - (-12°C)) = 450 g × 4200 J/(kg·°C) × (very last temperature - 60°C)

Thus, this the final temperature of the system.

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Answer: Railroad engineering ideas

Answer:

The angle that the ramp makes with the ground extending from the ramp to the truck is approximately 17.5 degrees.

Explanation:

We can start by drawing a right triangle where the hypotenuse is the ramp, the height is 4 feet, and the base is the distance from the truck to the bottom of the ramp (the horizontal distance).

Since we know the length of the hypotenuse and the height of the triangle, we can use the sine function to find the measure of the angle:

sin(θ) = opposite/hypotenuse

sin(θ) = 4/13

Now, we can solve for θ by taking the inverse sine (sin^-1) of both sides:

θ = sin^-1(4/13)

Using a calculator, we get:

θ ≈ 17.5 degrees

Part 1: the final angular speed is 0.64 + 0.86 = 1.50 rad/s. Substituting the values, 1.05 J.

Angular speed is the rate of change of angular displacement of a body over a period of time. It is also known as rotational speed and is usually measured in revolutions per minute (RPM) or radians per second (rad/s).

Part 1:
The angular speed is given by the formula w = Iα, where w is the angular speed, I is the moment of inertia and α is the angular acceleration. Since the moment of inertia is constant, the change in angular speed is given by Δw = ΔIα.
The change in moment of inertia is given by ΔI = mr2, where m is the mass of the objects and r is the change in radius.
So, the change in angular speed is given by Δw = mr2α.
Substituting the given values,
Δw = (3 kg)(1 m - 0.3 m)2(0.64 rad/s)
Δw = 0.86 rad/s
Therefore, the final angular speed is 0.64 + 0.86 = 1.50 rad/s.

Part 2:
The change in kinetic energy of the system is given by ΔK = ΔIw2/2.
Substituting the values,
ΔK = (3 kg)(1 m - 0.3 m)2(1.50 rad/s)2/2
ΔK = 1.05 J.

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Answer:

The correct answer is - 2.10 eV.

Explanation:

To calculate the energy of a photon of  a specific wavelength light, the following formula can be used:

E = h * c / λ = h * f ,

where,

E = energy of a photon.

h = Planck constant,

c = speed of light,

λ = wavelength of a photon,

f = frequency of a photon.

Putting the given value of orange photon:

E = h * c / λ

= (6.626 x 10^-19)*(3*10^8)/590

= 3.36685738E-19 or 2.1014 eV

Answer:

africa

Explanation:

África África ooo

The time elapsed between the first splash and the second splash is approximately 0.69 seconds.

To calculate this, we consider the motion of two rocks thrown simultaneously from a bridge. Heather throws a rock straight down with a speed of 14 m/s, while Jerry throws a rock straight up with the same speed.

We use the equation for displacement in uniformly accelerated motion: s = ut + (1/2)at^2.

For Heather's rock, which is thrown downwards, the initial velocity (u) is positive and the acceleration (a) due to gravity is negative (-9.8 m/s^2). The displacement (s) is the height of the bridge (46 m).

Solving the equation, we find two possible values for the time (t): t ≈ -4.91 s and t ≈ 1.91 s.

Since time cannot be negative in this context, we discard the negative value and consider t ≈ 1.91 s as the time it takes for Heather's rock to hit the water.

For Jerry's rock, thrown upwards, we use the same equation with the same initial velocity and acceleration. The displacement is also the height of the bridge, but negative.

Solving the equation, we find t ≈ -5.68 s and t ≈ 1.22 s. Again, we discard the negative value and consider t ≈ 1.22 s as the time it takes for Jerry's rock to reach its maximum height before falling back down.

To find the time difference between the first and second splash, we subtract t ≈ 1.91 s (Heather's rock) from t ≈ 1.22 s (Jerry's rock). This gives us a time difference of approximately 0.69 seconds.

Therefore, the time elapsed between the first splash and the second splash is approximately 0.69 seconds.

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A crow flies forward and backward. Its motion is shown on the following graph of horizontal position x vs. time t.

What is the instantaneous velocity of the crow at t = 9 s?

Answer: -0.50 m/s

A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

From the figure, it shows that from t = 8sec to t = 12 sec the displacement is decreasing, so velocity will be the slope of the straight line.

The velocity is given by:

velocity = -Δx ÷ Δt

velocity = (-2) ÷ (12-8)

velocity = -2 ÷ 4

velocity = -0.5 m/s

Therefore, A crow flies forward and backward. Its motion is shown in the following graph and the instantaneous velocity of the crow at t = 9 s is -0.5 m/s.

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The rms voltage measured across the secondary coil is 565.68 V.

The root mean square (RMS) value of an alternating current (AC) or voltage is the equivalent steady direct current (DC) value that produces the same heating effect or power dissipation in a resistor. In other words, it is the DC voltage or current that would produce the same amount of heat as the AC voltage or current over a given time period.

The rms voltage (V_rms) across the secondary coil can be calculated using the formula:

V_rms,secondary = (N_secondary/N_primary) * V_rms,primary

where N_secondary is the number of turns in the secondary coil, N_primary is the number of turns in the primary coil, and V_rms,primary is the rms voltage across the primary coil.

The rms voltage across the primary coil can be found from the given voltage function:

V_rms,primary = (1/√2) * V_peak,primary

where V_peak,primary = 200 V is the peak voltage across the primary coil.

Substituting the values, we get:

V_rms,primary = (1/√2) * 200 V = 141.42 V

Now, using the formula above, we can calculate the rms voltage across the secondary coil:

V_rms,secondary = (700/175) * 141.42 V = 565.68 V

Therefore, the rms voltage measured across the secondary coil is 565.68 V.

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Answer:

The strength of the source charge's electric field could be measured by any other charge placed somewhere in its surroundings. The charge that is used to measure the electric field strength is referred to as a test charge since it is used to test the field strength. The test charge has a quantity of charge denoted by the symbol q.

Explanation:

Electric field strength is a vector quantity; it has both magnitude and direction. The magnitude of the electric field strength is defined in terms of how it is measured. Let's suppose that an electric charge can be denoted by the symbol Q. This electric charge creates an electric field; since Q is the source of the electric field, we will refer to it as the source charge. The strength of the source charge's electric field could be measured by any other charge placed somewhere in its surroundings. The charge that is used to measure the electric field strength is referred to as a test charge since it is used to test the field strength. The test charge has a quantity of charge denoted by the symbol q. When placed within the electric field, the test charge will experience an electric force - either attractive or repulsive. As is usually the case, this force will be denoted by the symbol F. The magnitude of the electric field is simply defined as the force per charge on the test charge.

Answer:

A = 21 î + 28 ĵ

B = 12 î + 5 ĵ

Explanation:

a.

To write A and B in terms of î and ĵ, we need to use the trigonometric ratios and the vector notation

According to the diagram, we have:

tan a = 4/3 tan ß = 5/12

Using the identity tan θ = opposite/adjacent, we can find the x and y components of A and B.

For A, we have:

x component = 35 cos a y component = 35 sin a

Using tan a = 4/3, we can find cos a and sin a by using Pythagoras’ theorem:

cos a = 3/5 sin a = 4/5

Therefore, the x and y components of A are:

x component = 35 cos a = 35 (3/5) = 21 y component = 35 sin a = 35 (4/5) = 28

Using the vector notation, we can write A as:

A = 21 î + 28 ĵ

Similarly, for B, we have:

x component = 13 cos ß y component = 13 sin ß

Using tan ß = 5/12, we can find cos ß and sin ß by using Pythagoras’ theorem:

cos ß = 12/13 sin ß = 5/13

Therefore, the x and y components of B are:

x component = 13 cos ß = 13 (12/13) = 12 y component = 13 sin ß = 13 (5/13) = 5

Using the vector notation, we can write B as:

B = 12 î + 5 ĵ

b.

To show that A + B makes an angle of 45° to the x-axis, we need to find the resultant vector R and its angle θ with the x-axis.

To find R, we can use the vector addition rule :

R = A + B R = (21 î + 28 ĵ) + (12 î + 5 ĵ) R = (21 + 12) î + (28 + 5) ĵ R = 33 î + 33 ĵ

To find θ, we can use the inverse tangent function :

tan θ = y component / x component tan θ = 33 / 33 tan θ = 1

θ = tan^-1(1) θ = 45°

Therefore, A + B makes an angle of 45° to the x-axis.

Anaerobic transmission is when you touch a contaminated surface is a false statement.

Anaerobic organisms are the living things that can survive and grow where there is no oxygen in the surrounding environment so we can conclude that Anaerobic transmission is when you touch a contaminated surface is a false statement.

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Answer:

I think it would be V=g/t

Answer:

The "butterfly Effect"

Explanation:

The "butterfly effect" will probably have big changes in the future.

The event that happens to sound waves from an object as it moves toward you is The pitch gets higher because of an increase in wavelength.

Sound waves refer to a form of transverse wave that compress and vibrate while travelling from one medium to another thereby transferring energy.

Therefore, The event that happens to sound waves from an object as it moves toward you is The pitch gets higher because of an increase in wavelength.

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