What is the wavelength of a wave that has a speed of 160 m/s and a period of 3.7 ms?

Answer:

Speed of lighter particle = -21.53 m/s

Speed of other particle = 3.8 m/s

Explanation:

Let mass of the lighter object be m

Thus mass of heavier object = 4m

Speed of lighter particle = 19 m/s

Speed of second particle with opposite direction = - ⅓(19) m/s = -19/3 m/s

Now, from the formulas of momentum before collision = momentum after collision, and also kinetic energy before collision = Kinetic Energy after collision, we have;

v_bf = [2m_a/(m_a + m_b)]v_ai + [(m_b - m_a)/(m_a + m_b)]v_bi

Now, in this question;

m_a = m

m_b = 4m

v_ai = 19

v_bi = -19/3 m/s

Thus;

v_bf = [2m/(m + 4m)]19 + [(4m - m)/(m + 4m)](-19/3)

Simplifying to get;

v_bf = 19(2m/5m) - (19/3)(3m/5m)

>> v_bf = 38/5 - 19/5

>> v_bf = 19/5 m/s

>> v_bf = 3.8 m/s

Similarly;

v_af = [(m_a - m_b)/(m_a + m_b)]v_ai + [2m_b/(m_a + m_b)]v_bi

v_af = 19((m - 4m)/(m + 4m)) - (19/3)((2 × 4m)/(m + 4m))

This gives;

v_af = 19(-3m/5m) - (19/3)(8m/5m)

v_af = -(57/5) - (152/15)

v_af = -323/15

v_af = -21.53 m/s

Answer:

58.8 μC

Explanation:

The two balls create a dipole of dipole moment , p = qd where q = charge and d = distance between the charges = 28.9 cm = 0.289 m. The potential energy change ΔU = -W where W is the work done by the electric field of magnitude E = 592 N/C.

Now U = -pdEcosФ = -qdEcosФ where Ф is the angle between p and E. Since Ф is initially  58.9° and then becomes 0° when p and E align, the potential energy change is thus.

ΔU = -qdEcos0 - (-qdEcos58.9°) = qdE(cos58.9° - 1) = qdE(0.5165 - 1)  = -0.4835qdE.

W = - ΔU = -(-0.4835qdE) = 0.4835qdE

This work equals the kinetic energy of the systems. Since K.E = 4.86 mJ = 4.86 × 10⁻³ J.

So K.E = W

K.E = 0.4835qdE

making q subject of the formula

q = K.E/0.4835dE

q = 4.86 × 10⁻³ J/(0.4835 × 0.289 m × 592 N/C)

q = 4.86 × 10⁻³ J/82.72

q = 0.0588 × 10⁻³ C

q = 58.8 × 10⁻⁶ C

q = 58.8 μC

In order to determine which of the two solutions of salt water is more concentrated, we need to first understand what concentration means and how it is measured. Concentration refers to the amount of solute dissolved in a given amount of solvent. It is typically measured in units of mass per volume, such as grams per liter (g/L) or milligrams per milliliter (mg/mL). so The second solution is more concentrated

When comparing the concentration of two solutions, the one with a higher concentration has more solute dissolved in the same amount of solvent. Therefore, in the picture provided, we can determine which solution is more concentrated by looking at the relative amounts of solute in each solution.If the solutions have the same concentration, then they must have the same amount of solute dissolved in the same amount of solvent. From the picture, we can see that both solutions are in the same size container and have the same amount of solvent (water) in them. Therefore, we can conclude that they have the same concentration of salt.The amount of solute dissolved in a solution can be increased by either adding more solute or by reducing the amount of solvent. If we were to add more salt to one of the solutions, we would increase the concentration of that solution. Alternatively, if we were to evaporate some of the water from one of the solutions, we would reduce the amount of solvent and increase the concentration of that solution.

For more question concentrated

https://brainly.com/question/26288031

#SPJ8

Answer:

See below

Explanation:

Horizontal component of the velocity will carry the ball to the fence in how long?

Hor vel = 50 cos 30 = 43.3 m/s       200m  /  43.3 m/s = 4.61 seconds

Vertical position given by

Df = vo t + 1/2 a t^2       with t = 4.61 secs       vo = 50 sin 30

Df = height =   11 m     <===== will not clear the fence

The pressure of the tank, when filled with water at a depth of 6 m, is approximately 580.124 atmospheres (atm). To calculate the pressure of the tank, one can use the equation: Pressure (P) = Density (ρ) × g × Depth (h)

Pressure (P) = Density (ρ) × g × Depth (h)

Given: Density of water (ρ) = 1000 kg/m³

Acceleration due to gravity (g) = 9.8 m/s²

Depth (h) = 6 m

Using the given values, one can calculate the pressure:

Pressure = 1000 kg/m³ × 9.8 m/s² × 6 m Pressure

= 58800 kg·m⁻¹·s⁻²

Now, let's convert the units to pascals (Pa) using the conversion 1 atm = 1.013 x \(10^5\) Pa:

Pressure = 58800 kg·m⁻¹·s⁻² × (1 atm / 1.013 x\(10^5\) Pa)

Pressure = 580.124 atm

Learn more about pressure calculation here.

https://brainly.com/question/32496499

#SPJ1

At the apex of the trajectory, the ball's velocity and acceleration are u (10i+15j) m/s and zero

The initial velocity of the ball is u (10i+15j) m/s.

Velocity at the top of the trajectory: Since the ball is thrown with an initial velocity, it will reach the top of its trajectory with the same velocity, since there is no air resistance. Therefore, the velocity of the ball at the top of the trajectory is u (10i+15j) m/s.

Acceleration: The acceleration of the ball at the top of the trajectory is zero, since the ball is not accelerating (there is no acceleration due to air resistance).

Therefore, the velocity and acceleration of the ball at the top of the trajectory are u (10i+15j) m/s and zero, respectively.

learn more about Acceleration Refer:brainly.com/question/30660316

#SPJ1

1. The rank of the vector combinations on the basis of their magnitude is -  a+b = a +d > a+c > f +c = d > a + e

A physical quantity that has both directions and magnitude is referred to as a vector quantity. A lowercase letter with a "hat" circumflex, such as "û," is used to denote a vector with a magnitude equal to one. This type of vector is known as a unit vector.

Position, force, torque, velocity, and displacement are a few examples of vector quantities.

1. a + c

⇒ 2+1 unit

⇒ 3 unit  

2. a + b

⇒ 2√2 unit

3. a + e

⇒ 2 -1

⇒ 1 unit

4. a +d

⇒ 2√2 unit

5. f+ c

⇒ 2 unit

6. a+d

⇒ 2√2 unit

7. f+c

⇒ 2 unit

8. a+b

⇒ 2√2 unit

9. a+e

⇒ 1 unit

10. a+c

⇒ 3 unit

To learn more about Vector Quantity from given link

https://brainly.com/question/30202349

SPJ4

Complete Question -

Six vectors (a through f ) have the magnitudes and directions indicated in the figure. (Figure 1)

1.Rank the vector combinations on the basis of their magnitude.

Rank from largest to smallest. To rank items as equivalent, overlap them.

a+c

f+c

d

a+b

a+e

a+d

Answer:

Explanation:

Given

final speed v = 30.0m/s

initial velocity u = 0m/s

Time taken t = 1.00s

Required

constant acceleration of the police car a

Substitute the given parameters into this equation of motion

v = u + at

30 = 0 +1a

30 = a

a = 30.0m/s²

Hence the magnitude of the constant acceleration of the police car is 30.0m/s²

The arcsine of 1 is 90 degrees, the critical angle is 90 degrees.the minimum depth (measured to the top of the Batbox) is equal to the height of the Batbox.

To determine the minimum depth of the Batbox below the surface of the water for Batman to remain hidden from the Joker, we need to consider the principle of total internal reflection. When light travels from a medium with a higher refractive index to a medium with a lower refractive index, it can undergo total internal reflection if the angle of incidence exceeds the critical angle. In this case, the light traveling from water (refractive index nw = 1.333) to the Batplastic (refractive index np = 1.333) can undergo total internal reflection at the interface between the two.

To calculate the minimum depth, we need to find the critical angle. The critical angle can be determined using the formula:

Critical angle = arcsin(np/nw)

Given:

Refractive index of water, nw = 1.333

Refractive index of Batplastic, np = 1.333

Calculating the critical angle:

Critical angle = arcsin(1.333/1.333)

Critical angle = arcsin(1)

Since the arcsine of 1 is 90 degrees, the critical angle is 90 degrees.

To ensure that Batman remains hidden, the Batbox should be placed at a depth below the surface of the water such that the light undergoes total internal reflection. In this case, the minimum depth is determined by the height of the Batbox. Therefore, the minimum depth (measured to the top of the Batbox) is equal to the height of the Batbox. However, the specific height of the Batbox is not provided in the question, so it cannot be determined without additional information.

For more question on depth

https://brainly.com/question/31281499

#SPJ11

1)a) Pressure is the force exerted per unit area, measured in units such as pascals (Pa) or pounds per square inch (psi).

b) The value of standard atmospheric pressure is approximately 101.3 kilopascals (kPa) or 1 atmosphere (atm).

c) One application of liquid pressure in our daily life is in hydraulic systems, like car brakes, where liquid pressure is used to transmit force and amplify it.

d) The instruments used to measure the pressure of compressed air include pressure gauges or manometers.

e) An instrument called a barometer is used to measure atmospheric pressure.

f) The unit of compressed air is typically measured in pounds per square inch (psi) or pascals (Pa).

g) Standard atmospheric pressure is the pressure exerted by the Earth's atmosphere at sea level. It is approximately equal to 1 atm or 101.3 kPa.

h) The property of liquid that is applicable in water supply systems in cities is its ability to flow and exert pressure, allowing water to be distributed through pipes and reach different levels in buildings.

i) The property of liquid that supports its use in hydraulic machines is its incompressibility, allowing it to transmit force and energy effectively.

2) a)Atmospheric pressure is the force exerted by the weight of the Earth's atmosphere on a surface.

b) The equation P = dgh. This equation can be derived by considering the weight of the fluid column and the force it exerts on a unit area at the base.

c) A mercury barometer consists of a glass tube filled with mercury, inverted into a dish of mercury. The mercury in the tube adjusts its height based on the atmospheric pressure.

d) The importance of atmospheric pressure can be seen in its role in weather patterns, maintaining the balance of gases in the atmosphere, and facilitating breathing for humans and animals.

e) Applications of liquid pressure include hydraulic systems in machinery, such as lifts and cranes, hydraulic brakes in vehicles, and water towers for maintaining water pressure in buildings.

f) Events in daily life directly related to pressure include inflating a balloon, using a bicycle pump to inflate tires, and squeezing toothpaste out of a tube.

1)a) Pressure is defined as the force per unit area. Its unit in the S.I system is newtons per square meter (N/m²) or Pascal (Pa).

b) The value of standard atmospheric pressure at sea level is 101.3 kPa (kilopascals) or 1 atm (atmosphere). c) Liquid pressure has numerous applications in our daily life, but one of the most common ones is the hydraulic braking system used in cars.

d) An instrument used to measure the pressure of compressed air is called a pressure gauge. e) An instrument used to measure atmospheric pressure is called a barometer.

f) The unit of compressed air is generally psi (pounds per square inch).

g) Standard atmospheric pressure is the pressure exerted by the atmosphere at sea level and is equal to 101.3 kPa or 1 atm.

h) The property of liquids that is applicable in water supply systems in cities is their incompressibility. i) The property of liquids that supports their use in hydraulic machines is their incompressibility.

2)a) Atmospheric pressure is defined as the force per unit area exerted by the weight of the atmosphere on the surface. It is proven with the help of the following activity: Take a glass full of water and place a cardboard over it. Hold the cardboard tight and invert the glass. The water will not spill out of the glass, which is because the atmospheric pressure is greater on the cardboard than the pressure inside the glass.

b) The pressure exerted by a fluid can be derived using P = dgh, where P is the pressure, d is the density, g is the acceleration due to gravity, and h is the height of the fluid column.

c) A mercury barometer is made up of a glass tube that is closed at one end and filled with mercury. The tube is inverted and placed in a container of mercury. The pressure of the atmosphere on the open surface of the container forces the mercury in the tube to rise to a height that is proportional to the atmospheric pressure.

d) The importance of atmospheric pressure can be explained by the following points: it enables breathing, regulates the weather, and causes the ocean tides.

e) Some applications of liquid pressure include hydraulic brakes in cars, hydraulic lifts, and hydraulic jacks.

f) Some events that are directly related to pressure include gas escaping from a pressurized container, balloons being inflated, and soda cans being opened.

Know more about  Pressure   here:

https://brainly.com/question/28012687

#SPJ8

C.  The following scenarios that shows an object with a negative velocity and a negative acceleration is "a pig moves toward the reference point slowing down."

A negative velocity occurs when an object moves in the negative direction.

Example of negative velocity;

If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion. Thus, the acceleration of the object will be negative.

Thus, the following scenarios that shows an object with a negative velocity and a negative acceleration is "a pig moves toward the reference point slowing down."

Learn more about negative velocity here: https://brainly.com/question/14360163

#SPJ1

The actual difference between the guage pressure of a system and an absolute pressure is the same as the pressure at the surface of the fluid.

The correct answer choice is option b.

It follows that the two pressure system mentioned in the given task above has a zero point system as their principle of operation.

When we talk of guage pressure, it uses atmospheric pressure as its own zero point system. However, the sum of both the guage pressure and atmospheric pressure gives what we know as the absolute pressure.

So therefore, we can now deduced that the pressure on a liquid surface is equivalent to the variation between the gauge pressure and absolute pressure.

Read more on pressure:

https://brainly.com/question/441281

#SPJ1

Answer:

Explanation:

charge on each proton = 1.6 x 10⁻¹⁹ C

mass of proton = 1.67 x 10⁻²⁷ kg

Electrostatic force of repulsion Fe = 9 x 10⁹ x ( 1.6 x 10⁻¹⁹ )² / d²

= 23.04 x 10⁻²⁹ / d²

Gravitational  force of attraction = G Mm / d²

M = m = 1.67 x 10⁻²⁷ kg

Gravitational  force of attraction  Fg = 6.67  x 10⁻¹¹ x ( 1.67 x 10⁻²⁷ )² / d²

= 18.60 x 10⁻⁻⁶⁵ / d²

So Fg is far less than Fe and former is attractive , later is repulsive .

Fe > Fg, opposite direction , is the answer .

Answer:

google answers, i'm not 100% on how to type my own answer

Explanation:

Thaw food submerged under running water at a temperature of 70˚F (21˚C) or lower. The water flow must be strong enough to wash food particles into the overflow drain. In a microwave oven. You can safely thaw food in a microwave oven if the food will be cooked immediately.

The reason defrosting in water is preferable is because water conducts heat better than air. And the faster food is thawed, the better it tastes.

Answer:

The reason defrosting in water is preferable is because water conducts heat better than air. And the faster food is thawed, the better it tastes.

The quantity of heat energy that must be transferred to 2.25 kg of brass to raise its temperature from 20 °C to 240 °C is 195030 J

First, we shall list out the given parameters from the question. This is shown below:

The quantity of heat energy that must be transferred can be obtained as follow:

Q = MCΔT

= 2.25 × 394 × 220

= 195030 J

Thus, we can conclude quantity of heat energy that must be transferred is 195030 J

Learn more about heat:

https://brainly.com/question/16398667

#SPJ1

Answer:

Man will not slide down

Explanation:

Given:

Coefficient of static friction = 0.25

Angle = 13°

Computation:

Man will slide down if

tan13° > Coefficient of static friction

Tan 13 = 0.23

So,

0.23 < 0.25

So,

Man will not slide down

Answer:

The boat has more buoyancy

Explanation:

Answer: To calculate the force constant of the spring, we can use Hooke's Law, which states that the force exerted by a spring is directly proportional to the displacement from its equilibrium position. The formula for Hooke's Law is:

F = -kx

Where:

F is the force exerted by the spring,

k is the force constant (also known as the spring constant), and

x is the displacement from the equilibrium position.

Given:

Extension of the spring (displacement), x = 6 cm = 0.06 m

Load mass, m = 200 g = 0.2 kg

We can calculate the force exerted by the spring using the formula:

F = m * g

Where g is the acceleration due to gravity, approximately 9.8 m/s².

F = 0.2 kg * 9.8 m/s²

F = 1.96 N

Now, we can rearrange Hooke's Law to solve for the force constant, k:

k = -F / x

k = -1.96 N / 0.06 m

k ≈ -32.67 N/m

Since the spring constant (force constant) is typically represented as a positive value, we can take the absolute value of k:

k ≈ 32.67 N/m

To calculate the period of oscillation, we can use the formula:

T = 2π * √(m / k)

T = 2π * √(0.2 kg / 32.67 N/m)

T ≈ 0.713 s

So, the force constant of the spring is approximately 32.67 N/m, and the period of oscillation of the mass is approximately 0.713 seconds.

The time period of oscillation of the mass is 1.29 seconds.

A spiral spring extends by 6cm when a load of mass 200g is hung on it the mass is set into small vertical oscillations. Assuming that Hook's Law is obeyed, the force constant of spring by 6cm and the period of oscillation of the mass is given as follows:Given that:Mass of the load, m = 200g = 0.2kgExtension of the spring, x = 6cm = 0.06m

Since Hook's Law is obeyed, the force constant, k can be calculated as follows:Force applied = k × extensionx = F / k0.06 = (0.2 × 9.8) / kk = (0.2 × 9.8) / 0.06 = 32.67 N/mTherefore, the force constant of the spring is 32.67 N/m.The time period of the spring can be calculated as follows:The time period, T = 2π√(m / k)T = 2π√(0.2 / 32.67)T = 2π(0.205)T = 1.29s

For more such questions on time period

https://brainly.com/question/18070622

#SPJ8

Answer:

Explanation:

Their most intimate experience probably happened during an unsuccessful peace mission in September 1776. The British forces had recently raced across Long Island (New York) and almost destroyed the American Army. The British commander, Adm. Lord Richard Howe, then offered peace. Congress sent Adams, Franklin, and Edward Rutledge (South Carolina) to meet Howe on Staten Island.

Howe hoped to resolve the differences between what Great Britain still considered its colonies and the mother country. The Americans insisted on British recognition of independence, but Howe had no such authority, and Adams and Franklin had little of their own. Although cordial, the meeting broke up without success after just three hours.

During the mission, Adams and Franklin lodged together at crowded inn in a small room with only one window. Adams records an unforgettable and amusing story in his diary about that evening and hearing Franklin’s theory of colds.

The value of  the missing resistance, R₃ = 10.35 ohms.

The value of the missing voltages, V₁ = 6 V, V ₃ = 24 V.

The value of the missing currents, I₁ = 3 A, I₃ = 2.32 A.

The values of the missing component of the circuit is calculated by applying the following formula.

The total resistance of the circuit;

For R₂, R₃, 1/R = 1/R₂ + 1/R₃

1/R = 1/12 +  1/R₃

1/R = (R₃ + 1)/(12R₃)

R = 12R₃ / (R₃ + 1)

For, R₁, R₂ and R₃, total resistance;

R = 12R₃ / (R₃ + 1) + R₁

R = [12R₃ / (R₃ + 1)] + 2

R = (12R₃ + 2(R₃ + 1) ) / (R₃ + 1)

R = (12R₃ + 2R₃ + 2 ) / (R₃ + 1)

R = (14R₃ + 2 ) / (R₃ + 1)

The total current in circuit is calculated as;

I = V/R

I = 30 / R

I = ( 30 ) / (14R₃ + 2 ) / (R₃ + 1)

I = (30R₃ + 30) / (14R₃ + 2) ------- (1)

The voltage in parallel circuit is the same

V₂ = V₃ = 24 V

V₃ = IR₃

24 = IR₃

I = 24/R₃  --------- (2)

Solve (1) and (2) together as follows;

24/R₃ = (30R₃ + 30) / (14R₃ + 2)

30R₃² - 306R - 48 = 0

Solve the quadratic equation, using formula method.

R₃ = 10.35 ohms

I₃ = V₃/R₃

I₃ = 24 V / 10.35

I₃ = 2.32 A

If the voltage drop at R₂ and R₃ = 24 V, the voltage drop at R₁ = 30V - 24 V = 6 V

The current in R₁ = V₁/R₁ = 6 V / 2 V = 3 A

Learn more about voltage drop here: https://brainly.com/question/2491461

#SPJ1

Given,

The mass of the bike and the rider, m=62 kg

The initial velocity of the bike and the rider, u=4 m/s

The final velocity of the bike and the rider, v=14 m/s

The work done in accelerating an object from its initial velocity to its final velocity is given by the change in its initial and final kinetic energy.

Therefore the work done by the rider is,

On substituting the known values,

Therefore the work done by the rider is 5580 J

The maximum height the container can be lifted before bursting is  970 meters above sea level, and the maximum depth the container can be taken before imploding is 35 meters below the surface of the ocean.

Gauge pressure is the pressure measured relative to the atmospheric pressure at a particular location. It does not take into account the atmospheric pressure and only represents the pressure above or below the atmospheric pressure.

A) To find the maximum height h in meters above the ground that the container can be lifted before bursting, we need to find the new gauge pressure at this higher altitude. We can use the relationship between pressure and altitude:

P = P0 + ρgh

where P is the gauge pressure at the new altitude, ρ is the density of air, g is the acceleration due to gravity (assumed constant), and h is the height above sea level. Solving for h, we get:

h = (P - P0) / (ρg)

We know that the maximum pressure difference the container can withstand is ΔPmax = 2.35 × 105 Pa, so the new gauge pressure at the higher altitude can be found by adding this to the sea level pressure:

P = Pa + ΔPmax = 1.01 × 105 Pa + 2.35 × 105 Pa = 3.36 × 105 Pa

Substituting this into the equation above, along with the given values for ρ and g, we get:

h = (3.36 × 105 Pa - 2.02 × 105 Pa) / (1.20 kg/m3 × 9.81 m/s2) ≈ 970 meters

So, the maximum height the container can be lifted before bursting is approximately 970 meters above sea level.

B) To find the maximum depth dmax in meters below the surface of the ocean that the container can be taken before imploding, we need to find the new gauge pressure at this depth. We can use a similar equation to the one used above, but with the density of seawater instead of the density of air:

P = P0 + ρsgd

where g is the acceleration due to gravity (assumed constant), d is the depth below the surface of the ocean, and ρs is the density of seawater. Solving for d, we get:

d = (P - P0) / (ρsg)

We know that the maximum pressure difference the container can withstand is ΔPmax = 2.35 × 105 Pa, so the new gauge pressure at the maximum depth can be found by subtracting this from the sea level pressure:

P = P0 - ΔPmax = 2.02 × 105 Pa - 2.35 × 105 Pa = -0.33 × 105 Pa

(Note that this gives a negative value for pressure, which means the container will implode rather than burst.)

Substituting this into the equation above, along with the given values for ρs and g, we get:

d = (-0.33 × 105 Pa - 1.01 × 105 Pa) / (1025 kg/m3 × 9.81 m/s2) ≈ -35 meters

So, the maximum depth the container can be taken before imploding is approximately 35 meters below the surface of the ocean.

Therefore, The container can be lifted to a maximum height of 970 meters above sea level without bursting, and it can be submerged to a maximum depth of 35 meters without imploding.

To learn more about The relationship between gauge pressure and true pressure click:

https://brainly.com/question/29341536

#SPJ1

False, Paleomagnetism, is the study of glamorous fields recorded in jewels, deposition, or archeological accoutrements . Geophysicists who specialize in paleomagnetism are called paleomagnetists.

Certain glamorous minerals in jewels can record the direction and intensity of Earth's glamorous field at the time they formed. This record provides information on the once geste of the geomagnetic field and the once position of monumental plates. The record of geomagnetic reversals saved in stormy and sedimentary gemstone sequences provides a time- scale that's used as a geochronologic tool.

substantiation from paleomagnetism led to the reanimation of the international drift thesis and its metamorphosis into the ultramodern proposition of plate tectonics. Apparent polar wander paths handed the first clear geophysical substantiation for international drift, while marine glamorous anomalies did the same for seafloor spreading. Paleomagnetic data continues to extend the history of plate tectonics back in time, constraining the ancient position and movement of mainland and international fractions( topographies).

Learn more about Paleomagnetism from brainly, visit: brainly.com/question/3649885

#SPJ4

The y-component of the vector of magnitude 15.3 m is 6.47 m.

The y-component tells us how far the vector travels in the vertical direction.

To calculate the y-component of the vector, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the y-component is 6.47 m.

Learn more about y-component here: https://brainly.com/question/27996986

#SPJ1

From the information given, the object starts from rest. This means that

initial angular velocity, wo = 0

It achieves an angular speed of 33,500 rev/min. This means that

final angular velocity, wf = 33,500 rev/min

We would convert 33,500 rev/min to rev/s by dividing by 60. It becomes

558.33 rev/s

time required = 1.6

We would calculate the angular displacement, θ during this period this period by applying the formula,

θ = 1/2(wo + wf)t

θ = 1/2(0 + 558.33)1.6

θ = 446.664 rev

The object continued at this speed for 50s. This means that the angular acceleration is zero since the speed was constant. During this period,

wo = 558.33 rev/s

a = 0

t = 50

We would find the number of revolutions by applying the formula,

θ = wot + 1/2at^2

θ = 558.33 * 50 + 1/2 x 0 x 50^2

θ = 27916.5 rev

Total number of revolutions at this point is

446.664 + 27916.5 = 28363.16 revs

For the final part,

It returns to rest after 10 s. Thus,

t = 10

wf = 0

wo = 558.33

We would find the number of revolutions in this part by applying the formula

θ = 1/2(wo + wf)t

θ = 1/2(558.33 + 0)10

θ = 2791.65 rev

Total revolutions completed is

28363.164 + 2791.65 = 31154.81 revolutions

When the teacher asked the student to make words out of the jumbled word gzeysktqix, the student was being tested on his ability to unscramble words. Unscrambling words is the process of taking a word or series of letters that are out of order and rearranging them to form a word that makes sense.

When trying to unscramble a word, it is important to look for any patterns that can help identify smaller words within the jumbled letters. This can help make the process easier and quicker. For example, in the jumbled word gzeysktqix, one might notice that the letters "sktqix" appear together.

This could indicate that these letters could potentially form a word. By looking at the remaining letters, one could notice that the letters "g", "z", "e", and "y" could also form smaller words. After some rearranging, the letters can be unscrambled to form the words "sky", "zig", "sex", and "yet". These are just a few examples, as there are likely many other words that can be formed from this jumbled word.

For more such questions on unscramble words, click on:

https://brainly.com/question/28555227

#SPJ8

Explanation:

a scientific theory is a well substantiated explanation of some aspect of the nature world, based on a body of facts that have been repeatedly confirmed through observation and experiment. search fact-supported theories are not "guesses" but reliable account of the real world .