A ball rolling at a speed of 4.30 m/s has a kinetic energy of 23.1 J. What is the mass of the ball?
PLEASE HELP

Child A has the larger centripetal acceleration than Child B.

Centripetal acceleration is a characteristic of an object is in motion along a circular path. Centripetal acceleration applies to any item travelling in a circle with an acceleration vector pointing in the direction of the circle's centre.

Centripetal accelerations are brought on by centripetal forces. The gravitational pull between them produces the centripetal force that drives the motion in the unique situation of the Earth's circular motion around the Sun and any satellite's circular motion around any celestial body.

Learn more about centripetal acceleration here:

https://brainly.com/question/14465119

#SPJ4

The traffic light controller chip has an operating frequency of 500 MHz, static power consumption of 26.28 mW, dynamic power consumption of 1.70625 mW, and a total power dissipation of 27.98625 mW.

(i) To calculate the chip's operating frequency, we need to find the inverse of the critical path delay. Given that the critical path of the chip is 0.002μs, the operating frequency can be calculated as:

Operating Frequency = 1 / Critical Path Delay

= 1 / 0.002μs

= 500 MHz

Therefore, the chip's operating frequency is 500 MHz.

(ii) Static power refers to the power dissipated by a chip when it is in a static or idle state. It is independent of the switching activity. The static power consumption can be calculated as the product of the chip's area utilization, sub-threshold leakage current, and supply voltage:

Static Power = Area Utilization × Sub-threshold Leakage Current × Supply Voltage

= 50 mm^2 × 584 mA × 0.9 V

= 26.28 mW

Therefore, the static power of the chip is 26.28 mW.

(iii) Dynamic power refers to the power dissipated by a chip due to the switching activity of its transistors. It can be calculated as the product of the chip's switching capacitance, activity factor, and the square of the supply voltage:

Dynamic Power = Switching Capacitance × Activity Factor × Supply Voltage^2

= 500 pF/mm^2 × 15/64 × (0.9 V)^2

= 1.70625 mW

Therefore, the dynamic power of the chip is 1.70625 mW.

(iv) Total power dissipation is the sum of static power and dynamic power. Hence, the total power dissipation of the chip can be calculated as:

Total Power Dissipation = Static Power + Dynamic Power

= 26.28 mW + 1.70625 mW

= 27.98625 mW

Therefore, the total power dissipation of the chip is 27.98625 mW.

Learn more about traffic light from the link

https://brainly.com/question/10786180

#SPJ11

Answer:

See below

Explanation:

1/4 d / 2  = time for 2 m/s

3/4d  / 3  = time for 3 m/s

total distance / total time = average speed :

d / [  1/4 d  / 2 m/s   +  3/4 d/ 3 m/s ]     <=====simplify ( 'd' goes away)

1 / [ 1/4 / 2    + 3/4 / 3 ]   =   2  2/3 m/s

This is due to the fact that occluded fronts combine two cold air masses, which causes one of the cold air masses to go downward.

When a warm air mass is sandwiched between two cold air masses, an occluded front occurs. In an occlusion, the warm front passes over the cold front, which dives beneath it.

In a front is obscured, the warm front is fully supplanted by the cold front, in which the warm air masses have completely disappeared. Furthermore, there are frequent shifts in the various weather producing circumstances because of the cold front's relatively low temperature.

Learn more about occluded fronts, here:

https://brainly.com/question/11718564

#SPJ4

Landslides are caused by earthy elements moving from higher to lower areas as a result of gravity. The sliding down of a slope of a volume of rock, rubble, or earth is known as a landslide.

All things with mass, including our Earth, really bend and curve spacetime, which is what causes gravity to pull you toward the ground. What you experience as gravity is that curvature.

A mass attracts a mass; the amount of the gravitational force is direct proportion to the masses of both the two items and inverse to the square of both the distance between two pieces. Gravitational force is an electrostatic attraction and exists among the objects with mass.

To know more about gravitational pull visit:

https://brainly.com/question/13467280

#SPJ4

The net force is (40 Newtons) (down the road).

But 40 Newtons is not going to move a piano very enthusiastically.

Explanation:

Given mass of the object is 1200kg and it's placed at a height of 45m above the ground. As we know that potential energy is ,

\(\longrightarrow PE = mgh \)

where,

Substituting the respective values ,

\(\longrightarrow P.E. = 1200kg * 10m/s^2* 45m\)

Multiply ,

\(\longrightarrow P.E. = 540000J \)

Hence the potential energy is 540000J .

I hope this helps.

The type of radioactive decay that has a positive charge is alpha particles, which are positively charged.

The expression radioactive decay makes reference to the emission of ionizing radiation for a given atom, thereby an unstable atom may lose energy by releasing radiation.

Alpha particles are specific atomic particles consisting of 2 protons  (positive charge) and also 2 neutrons that share chemical bonds.

In conclusion, the type of radioactive decay that has a positive charge is alpha particles, which are positively charged.

Learn more about alpha particles here:

https://brainly.com/question/1621903

#SPJ1

Answer:

It’s 7 hours

Explanation:

You have to use the formula your teacher has given to you plug in the numbers then solve be sure to use a calculator made for physics it helps a lot :)

The total torque created by the two known masses is 1.848 Nm.

We can use the formula for torque, which is given by:

τ = F x r x sin(θ)

where τ is the torque, F is the force applied, r is the distance from the pivot point to the point where the force is applied, and θ is the angle between the force and the lever arm.

For the first mass (193.1 g), the force applied is the weight of the mass, which is:

F1 = m1 x g = 0.1931 kg x 9.81 m/s^2 = 1.893 N

The distance from the pivot point to the point where the force is applied is half the length of the meter stick, which is:

r1 = L/2 = 0.5 m

The angle between the force and the lever arm is 90 degrees, so:

θ1 = 90 degrees

Using these values, we can calculate the torque created by the first mass as:

τ1 = F1 x r1 x sin(θ1) = 1.893 N x 0.5 m x sin(90 degrees) = 0.9465 Nm

For the second mass (183.9 g), we can follow the same procedure and find:

F2 = m2 x g = 0.1839 kg x 9.81 m/s^2 = 1.803 N

r2 = L/2 = 0.5 m

θ2 = 90 degrees

τ2 = F2 x r2 x sin(θ2) = 1.803 N x 0.5 m x sin(90 degrees) = 0.9015 Nm

The total torque created by the two known masses is the sum of these individual torques, which is:

τtotal = τ1 + τ2 = 0.9465 Nm + 0.9015 Nm = 1.848 Nm

Therefore, the total torque created by the two known masses is 1.848 Nm.

Learn more about torque on

https://brainly.com/question/20691242

#SPJ1

Answer:

ammeter

Explanation:

hope this helps

The values of all sub-parts have been obtained.

(1).  The maximum factored load the beam can withstand is 45.2 kN/m.

(2).  The moment resistance of the cross-section is 291735.65 Nm.

(3).  The factored moment demand is 27939.6 Nm

1) To draw the governing shear and bending moment diagram for the factored load, we need to first calculate the maximum factored load that the beam can withstand.

The maximum factored load on the beam is given by:

Dead Load = 20 kN/m + 15 kN

                   = 35 kN/m.

Live Load = 2 kN/m + 1 kN

                = 3 kN/m.

Total Factored Load = 1.2 x Dead Load + 1.6 x Live Load

                                  = 1.2 x 35 kN/m + 1.6 x 3 kN/m

                                  = 45.2 kN/m.

The maximum factored load the beam can withstand is 45.2 kN/m.

The shear force and bending moment diagrams for the given factored load can be obtained as shown below:

Shear Force Diagram:

Bending Moment Diagram:

2) To calculate the moment resistance of the cross-section, we can use the formula:

MR = σst A'(d - a/2) + 0.85f'c A''(d - a/2)

Where, σst = yield stress of tension steel [σst = fy / γst],

γst = safety factor for tension steel [γst = 1.15A']

A' = area of tension steel, [A'' = b(d - a)].

Where,

b = width of the beam [b = 600 mm],  

d = total height of the beam [d= 1000 mm],

a = effective depth of tension steel [a = 920 mm]

f'c = compressive strength of concrete [f'c = 25 MPa],

MR = σst A'(d - a/2) + 0.85f'c A''(d - a/2)

MR = (400 / 1.15) x 10 x (1000 - 920/2) + 0.85 x 25 x 590 x (1000 - 920/2)

MR = 291735.65 Nm

The moment resistance of the cross-section is 291735.65 Nm.

3) To check if this cross-section is adequately designed to resist the factored bending moment (LRFD), we need to calculate the factored moment demand and compare it with the moment resistance.

The factored moment demand is given by:

MF = ϕ x Mu

Where,ϕ = resistance factor = 0.9, Mu = factored bending moment

Mu = 1.2 x Dead Load x L2 / 8 + 1.6 x Live Load x L2 / 8 + 1.2 x (Dead Load + Live Load) x L2 / 2

   = 1.2 x 35 x 152 / 8 + 1.6 x 3 x 152 / 8 + 1.2 x 38 x 152 / 2

   = 31044 Nm

MF = ϕ x Mu

     = 0.9 x 31044

    = 27939.6 Nm

The factored moment demand is 27939.6 Nm, which is less than the moment resistance of the cross-section, i.e., 291735.65 Nm.

Therefore, this cross-section is adequately designed to resist the factored bending moment.

To learn more about factored bending moment demand from the given link.

https://brainly.com/question/31385809

#SPJ11

a) The isocost curve equation is G = (20000 - 100C)/500. b) The isocost curve equation is G = (30000 - 100c)/500. c) The isocost curve equation is G = (20000 - 100C)/375. d)  The isocost curve equation is G = (20000 - 120C)/500.

To draw the isocost curve showing the different combinations of gas and coal, we need to use the cost per unit values for coal and gas, as well as the given expenditure (TC) and the changes in expenditure or prices.

Let's denote the quantity of coal as C and the quantity of gas as G. The cost per unit of coal is 100, and the cost per unit of gas is 500.

(a) Initial expenditure (TC) of 20000:

To find the combinations of gas and coal that can be purchased with an initial expenditure of 20000, we can use the following isocost equation

TC = 100C + 500G

We can rearrange the equation to solve for G in terms of C

G = (TC - 100C) / 500

Now we can plot the isocost curve with TC = 20000 using the equation above.

(b) Expenditure (TC) increases by 50%

If the expenditure increases by 50%, the new expenditure (TC_new) becomes 1.5 × TC = 1.5 × 20000 = 30000.

We can use the same isocost equation as before, but with the new expenditure value:

TC_new = 100C + 500G

Rearranging the equation to solve for G

G = (TC_new - 100C) / 500

Now we can plot the isocost curve with TC_new = 30000.

(c) Gas price reduced by 25%:

If the gas price is reduced by 25%, the new cost per unit of gas (Gas_new) becomes 0.75 × 500 = 375.

We can use the original isocost equation, but with the new cost per unit value:

TC = 100C + 375G

Rearranging the equation to solve for G

G = (TC - 100C) / 375

Now we can plot the isocost curve with the reduced gas price.

(d) Coal price rises by 20%

If the coal price rises by 20%, the new cost per unit of coal (Coal_new) becomes 1.2 × 100 = 120.

We can use the original isocost equation, but with the new cost per unit value:

TC = 120C + 500G

Rearranging the equation to solve for G:

G = (TC - 120C) / 500

Now we can plot the isocost curve with the increased coal price.

By plotting these isocost curves on a graph with G on the y-axis and C on the x-axis, we can visualize the different combinations of gas and coal that can be purchased at the given expenditures or price changes.

To know more about isocost curve here

https://brainly.com/question/30825503

#SPJ4

Answer:

As one goes "forward" in time, the second law of thermodynamics says, the entropy of an isolated system can increase, but not decrease. ... Thus, entropy measurement is a way of distinguishing the past from the future.

Explanation:

More nations have gravitated toward the  model because it offers several advantages and has proven to be a successful approach in promoting economic growth and development.

Efficiency: The market-based model, characterized by free markets and competition, allows for efficient allocation of resources. It enables individuals and businesses to make decisions based on market forces, such as supply and demand, which leads to the optimal allocation of goods and services. This efficiency promotes productivity and economic growth.

Innovation and Entrepreneurship: The market-based model encourages innovation and entrepreneurship. In a competitive market, businesses are incentivized to develop new products and services to meet consumer demands. This drive for innovation fosters technological advancements, job creation, and economic dynamism.

Individual Freedom: Market-based economies prioritize individual freedom and choice. Individuals have the freedom to make decisions regarding their consumption, production, and employment. This freedom allows for personal initiative, economic mobility, and the pursuit of individual aspirations.

International Trade: Market-based economies promote international trade and globalization. By opening up to international markets, countries can benefit from the exchange of goods, services, and ideas, leading to increased economic opportunities and access to a wider range of resources.

Economic Stability: Market-based economies tend to be more resilient and adaptable to changing circumstances. The decentralized nature of markets allows for self-correction mechanisms, such as price adjustments, in response to economic shocks.

For more such questions on  model visit:

https://brainly.com/question/31611675

#SPJ8

Nations have gravitated toward the market-based model because it promotes economic growth and efficiency, encourages innovation and investment, and allows for flexibility and adaptation to global trends and demands.

More nations have gravitated toward the market-based model because it has been proven to promote economic growth and increase efficiency. The market-based model is based on the principles of supply and demand, competition, and individual choice. When countries adopt this model, it can lead to innovation, entrepreneurship, and investment, which can stimulate economic growth.

For example, countries like the United States and Germany have embraced the market-based model and have experienced significant economic development. They have seen increased productivity, job creation, and technological advancements. Additionally, the market-based model allows for flexibility and adaptation to changing global trends and demands. It encourages free trade and cooperation between nations, fostering a global economy.

https://brainly.com/question/32511996

#SPJ12

The potential impacts of global climate change on thermohaline circulation in the oceans is increasing the rate of circulation. That is option D.

The thermohaline circulation is defined as the process by which deep-ocean currents are driven by differences in the water's density, which is controlled by temperature (thermo) and salinity (haline).

When there is global climate change increased temperature of water masses would cause these currents to flow faster given the higher kinetic energy of the water molecules.

Therefore, there is increase in rate of circulation when there is global climate change.

Learn more about climate change here:

https://brainly.com/question/24793273

#SPJ1

Initial launch speed of the cars are in order as  Vcar 1 = Vcar 2< Vcar 3

Speed (often abbreviated as "s") is a scalar variable that describes how much an object's location changes over time or how much it changes per unit of time. The average speed of an item in a period of time is the distance traveled by the object divided by the duration of the period.

Time divided by distance are the speed-related metrics.. The meter per second (m/s) is the SI unit of speed, while the kilometer per hour (kph) is the most often used unit of speed in daily life.

To know more about  speed visit : brainly.com/question/93357

#SPJ9

The velocity of an object that has been falling freely in a vacuum

for 4 seconds is 39.2 m/s.

The given parameters;

The value acceleration due to gravity in vacuum is approximately 9.8 m/s².

The final velocity of the object is calculated as follows;

v = u + gt

where;

Substitute the given parameters and solve for v;

v = 0 + 9.8(4)

v = 39.2 m/s

Thus, the velocity of an object that has been falling freely in a vacuum

for 4 seconds is 39.2 m/s.

Learn more here:https://brainly.com/question/16298299

(a) The force constant of the spring, if the box compresses the spring 5.3 cm before coming to rest is 1020 N/m.

(b) The initial speed required to compress the spring by 1.6 cm is 0.68 m/s.

(a) To determine the force constant of the spring, we can use the conservation of mechanical energy, assuming that there is no energy lost due to friction or other dissipative forces. At the moment when the box comes to rest, all of its kinetic energy will have been transferred to the spring, causing it to compress. We can write:

\((1/2)mv^2 = (1/2)kx^2\)

where m is the mass of the box, v is its initial speed, x is the distance that the spring compresses, and k is the force constant of the spring.

Substituting the given values, we get:

\((1/2)(3.1 kg)(1.8 m/s)^2 = (1/2)k(0.053 m)^2\)

Solving for k, we get:

\(k = (0.5)(3.1 kg)(1.8 m/s)^2 / (0.053 m)^2 = 1020 N/m\)

Therefore, the force constant of the spring is 1020 N/m.

(b) To determine the initial speed required to compress the spring by 1.6 cm, we can use the same equation as above, but with the new value of x:

\((1/2)mv^2 = (1/2)kx^2\)

Substituting the given values, we get:

\((1/2)(3.1 kg)v^2 = (1/2)(1020 N/m)(0.016 m)^2\)

Solving for v, we get:

v = \(\sqrt{[(1020 N/m)(0.016 m)^2 / 3.1 kg\)] = 0.68 m/s

Therefore, the initial speed required to compress the spring by 1.6 cm is 0.68 m/s.

For more such questions on Spring.

https://brainly.com/question/20368777#

#SPJ11

Complete Question:

On a circular race track with a radius of 3.23 km, a certain road car set a speed record of 372 km/h. What was the car's centripetal acceleration?

Answer:

Centripetal acceleration = 3.306 m/s²

Explanation:

Given the following data;

Radius, r = 3.23 km to meters = 3.23 * 1000 = 3230 m

Velocity = 372 km/h to meters per seconds = 372*1000/3600 = 103.33 m/s

To find the centripetal acceleration;

Centripetal acceleration = velocity²/radius

Centripetal acceleration = 103.33²/3230

Centripetal acceleration = 10677.09/3230

Centripetal acceleration = 3.306 m/s²

Answer:

A. Johannes Kepler

Explanation:

Used in generators and electric motors, electromagnetic induction explains how a changing magnetic field can produce an electric current and, conversely, how an electric current generates a magnetic field around it. The most accurate option is:

a.

To ensure proper airspace protection while holding at5,000 feet in a civil aircraft, the maximum indicated airspeed a pilot should use is 200 knots.

Indicated airspeed means that the speed of an aircraft as shown on pitot static airspeed indicator is calibrated to reflect standard atmosphere adiabatic compressible flow at sea level uncorrected for airspeed system errors.

Indicated airspeed is the airspeed which is read directly from the airspeed indicator on an aircraft and driven by the pitot-static system. It uses difference between total pressure and static pressure, to mechanically or electronically measure dynamic pressure.

To know more about indicated airspeed, refer

https://brainly.com/question/14701469

#SPJ4

The R-squared value of 0.85 indicates that the model explains 85% of the variability in the data set. Therefore, the linear model is a good fit for this data set.

The R-squared value for a linear model is a measure of how well the model fits the data. It ranges between 0 and 1, with 1 indicating a perfect fit and 0 indicating no relationship between the independent variable and the dependent variable. A high R-squared value means that the model fits the data well.

The R-squared value of 0.85 indicates that the linear model is a good fit for the data. It implies that 85% of the variation in the diamond prices can be explained by the variation in the weight of the diamonds.

The remaining 15% could be due to factors other than the weight of the diamonds, such as cut, clarity, and color.

Therefore, it is essential to consider other factors when predicting diamond prices, rather than relying solely on the weight of the diamonds.

Learn more about linear model function here:

brainly.com/question/28033207

#SPJ11

Explanation:

they are subatomic particles that interact by means of the strong force. as they are strong nuclear force its so powerful, it makes it extremely difficult to separate quarks.

hope this helps

have a great day

Quarks are elementary particles of matter. And they can be extracted in neutrino - induced dilepton events

QUARKS

A quark can be described as one of the fundamental units of matter. Under particle Physics, when two or more ionized quarks come together, they will form a composite particle called hadron.

Hadrons are particles that are affected by strong force. Examples of hadron are:

The quark model of hadrons helps to resolve many fundamental particle problems.

Apart from cosmic radiation, quarks can be extracted in neutrino - induced dilepton events with the use of hydrogen and deuterium exposure.

Learn more about Particle Physics here: https://brainly.com/question/4228625

Since these three vehicles would all go the same speed at the bottom if released from the same height, they would not all possess the same amount of kinetic energy because they have different amounts of potential energy.

Kinetic energy is dependent on the velocity of the object as well as its mass. Therefore, the three vehicles, though they have the same speed, would differ in their kinetic energy due to their varying mass. This concept is known as mechanical energy and is the sum of kinetic and potential energy.

Mechanical energy is also constant in an ideal situation where no external forces are acting upon the object. For instance, the three vehicles will all have the same mechanical energy at the release point but would not possess the same amount of kinetic energy due to their mass difference. Therefore, they would have different amounts of potential energy when released.

Learn more about kinetic energy at:

https://brainly.com/question/22174271

#SPJ11

Answer:

adding to or more vectors together . When displacement vectors are added, the result is a resultant displacement. But any two vectors can be added as long as they are the same vector quantity.

Explanation:

The tank can hold 0.0088 gallons of propane when filled to 60% of its capacity.

What is capacity?
The maximum output that a business can maintain while producing a good or offering a service is known as capacity. Management must acknowledge production process limitations in order to plan for capacity.

Capacity can refer to the a production process, the distribution of human resources, technical thresholds, or a number of other related ideas depending on the type of business. No system can sustain full operation for an extended period of time; delays and inefficiencies prevent long-term output from reaching a theoretical level.

The volume of a spherical propane tank can be calculated using the formula:
Volume = (4/3)*π*r^3
where r is the radius of the tank.
The radius of the tank is equal to half its diameter, which in this case is 4/2 = 2 cm.
Therefore, the volume of the tank is (4/3)*π*2^3 = 33.51 cubic centimeters.
Now, we can convert this volume to gallons. 1 gallon is equivalent to 3785.41 cubic centimeters.
Therefore, the number of gallons of propane the tank can hold is 33.51/3785.41 = 0.0088 gallons.
Finally, the tank can hold 0.0088 gallons of propane when filled to 60% of its capacity.

To learn more about capacity
https://brainly.com/question/27991746
#SPJ4

Answer:

B

Explanation:

I just learned about it on edge.