A 500 kg roller coaster moving at 15 m/s suddenly comes to a stop at the end of the ride. How much work energy was needed to stop the coaster?

Answer:

The range of the ball is 11.6 meters

Explanation:

Projectile Motion

It's the type of motion that experiences an object launched with an initial angle and moves along a curved path exclusively under the action of gravity.

Being vo the initial speed of the object, θ the initial launch angle, and g the acceleration of gravity, then the maximum horizontal distance traveled by the object (also called Range) is:

[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]

The football is kicked with an initial speed of vo=11 m/s at an angle of θ=35°.

Calculating the range:

[tex]\displaystyle d={\frac {11^{2}\sin(2\cdot 35^\circ)}{9.8}}[/tex]

[tex]\displaystyle d={\frac {121\sin(70^\circ)}{9.8}}[/tex]

d = 11.6 m

The range of the ball is 11.6 meters

Answer:

13.5V

Explanation:

u=i*r

u=1.8×7.5=13.5V

Answer:

[tex]Stress=12903.3923m[/tex]

Explanation:

From the question we are told that

Cable length 36,000km

The density of steel is 7900 kg/m3.

Generally mass is mathematically given as

  [tex]m= \rho v[/tex]

  [tex]m= \rho Al[/tex]

Generally the weight of cable is mathematically give as

  [tex]W_c=mg[/tex]

  [tex]W_c=(\rho Al)g[/tex]

Generally the stress on a material is mathematically represented as

  [tex]Stress=\frac{Force}{Area}[/tex]

  [tex]Stress=\frac{\rho Al}{A}*g[/tex]

  [tex]Stress=\frac{\rho l}{1}*g[/tex]

Stress or tensile strength of steel is [tex]1000*10^6N/m^2[/tex]

Therefore

     [tex]l=\frac{Stress}{pg}[/tex]

     [tex]Stress=\frac{1000*10^6}{(7900)(9.81)}[/tex]

    [tex]Stress=12903.3923m[/tex]

    [tex]Stress=12903.4m\ appro[/tex]

Answer:

Symbolic culture, or nonmaterial culture, is the ability to learn and transmit behavioral traditions from one generation to the next by the invention of things that exist entirely in the symbolic realm. Symbolic culture is studied by archaeologists, social anthropologists and sociologists.

Explanation:

i hope this helped!

Answer:

[tex]5.16*10^{14}Hz[/tex]

Explanation:

1 eV = 1.6 * 10⁻¹⁹ J

The work function is the minimum energy required to cause the photo-emission of electrons. The work function is dependent on the type of metal.  

Whereas the threshold frequency is the minimum frequency of light required to produce the work function energy. The work function is given by:

[tex]E=hf_o\\\\Where\ E = work \ function, h=plank's\ constant=6.63*10^{-34}Js,f=threshold\ frequency.\\\\Given\ that \ E=2.14eV, hence:\\\\E=hf_o\\\\2.14eV=6.63*10^{-34}Js*f_o\\\\f_o=\frac{2.14\ *1.6*10^-19}{6.63*10^{-34}Js} \\\\f_o=5.16*10^{14}Hz[/tex]

Answer:

  R_eq = 6 Ω

Explanation:

In a series circuit the current is constant throughout the circuit and the resistance is the sum of all the resistances in it.

          R_eq = ∑ [tex]R_{i}[/tex]

in this case we have

          R_eq = R₁1 + 3 R₂

where R₁ is the resistance of the fan and R₂ the resistance of each light, we must clarify that we will assume that the resistance of the lights does not change with temperature

let's calculate

           R_eq = 3 + 3 1

            R_eq = 6 Ω

Answer:

The awnser is 6 ohms.

Explanation:

Answer:

The North American tectonic plate.

Explanation:

recall the formula for momentum: p = m * v

the subatomic particles have very small masses while high speeds, so the product results in values with negative exponents in scientific notation.

Negative exponents also result for the house fly when converting mg into kg (10^-6).

The positive exponents in scientific notation for the momentum come for the gigantic mass of the continental plate which exceeds the negative exponents contributed by the small velocity.

Answer:

v= 14.85 m/s

Explanation:

       [tex]F_{cent} = F_{n} - F_{g} (1)[/tex]

       [tex]F_{n} = m*\frac{v^{2} }{r} + m*g (3)[/tex]

      [tex]F_{n} = 1.15*F_{g} = m*\frac{v^{2}}{r} +F_{g} (4)[/tex]

       [tex]v = \sqrt{0.15*g*r} = \sqrt{9.8 m/s2*0.15*150m} = 14.85 m/s (5)[/tex]

Answer:

1.87 ms-2

Explanation:

We need to convert the velocity from km/hr to m/s as follows;

100 × 1000/3600 = 27.7 m/s

Also

120 × 1000/3600 = 33.3 m/s

From;

v= u + at

v= 33.3 m/s

u= 27.7 m/s

t= 3 secs

v= u + at

a = v- u/t

a = 33.3 - 27.7/3

a= 1.87 ms-2

Answer:

when pure water vapor from the water bodies get absorbed into polluted gases in the atmosphere, acid rain is caused and when this happens in a place where an element of the hydrosphere is located, it is polluted.in such a way hydrosphere is effected

Answer: When a parcel of air in the atmosphere becomes saturated with water, precipitation, such as rain or snow, can fall to Earth's surface.

Explanation:

Human contributions to greenhouse gases in the atmosphere are warming the earth's surface a process which is projected to increase evaporation of surface water and accelerate the hydrologic cycle. In turn, a warmer atmosphere can hold more water vapor.

Answer:

Option B. 4a꜀

Explanation:

From the question given above, the following data were obtained:

Initial speed (v₁) = v

Initial acceleration (a₁) = a꜀

New speed (v₂) = 2v

New acceleration (a₂) =?

Centripetal acceleration is given by the following equation:

a = v²/ r

Next, we shall make r the subject.

a = v²/ r

Cross multiply

a × r = v²

Divide both side by a

r = v² / a

NOTE: We assume the radius (r) to be constant.

v₁² / a₁ = v₂² / a₂

Thus, we shall determine the new acceleration as follow:

Initial speed (v₁) = v

Initial acceleration (a₁) = a꜀

New speed (v₂) = 2v

New acceleration (a₂) =?

v₁² / a₁ = v₂² / a₂

v² / a꜀ = (2v)² / a₂

v² / a꜀ = 4v² / a₂

Cross multiply

v² × a₂ = a꜀ × 4v²

Divide both side by v²

a₂ = a꜀ × 4v² / v²

a₂ = a꜀ × 4

a₂ = 4a꜀

Therefore, the new centripetal acceleration of the object is 4a꜀

Answer:

4.0 · ac

Explanation:

Just did it

This question is incomplete, the complete question is;

A 30-kilogram child moving at 4.0 meters per second jumps onto a 50-kilogram sled that is initially at rest on a long, frictionless, horizontal sheet of ice.

a. Determine the speed of the child-sled system after the child jumps onto the sled.

b. After coasting at constant speed for a short time, the child jumps off the sled in such a way that she is at rest with respect to the ice. Determine the speed of the sled after the child jumps off

Answer:

a) the speed of the child-sled system after the child jumps onto the sled is 1.5 m/s

b) the speed of the sled after the child jumps off is 2.4 m/s

Explanation:

Given that;

Weight of the child m_c = 30 kg

u = 4 m/s

M = 50 kg

a) the speed of the child-sled system after the child jumps onto the sled.

Using conservation of momentum;

P_i = P_f

30 × 4 = 50(v) + 30(v)

120 = 80(v)

v = 120 / 80

v = 1.5 m/s

therefore, the speed of the child-sled system after the child jumps onto the sled is 1.5 m/s

b) the speed of the sled after the child jumps off .

Also using conservation of momentum;

mv1 = mv2

(30+50) × 1.5 = (30 × 0) + (50 × v2 )

80 × 1.5 = 50v2

v2 = 120 / 50

v2 = 2.4 m/s

Therefore the speed of the sled after the child jumps off is 2.4 m/s

If it starts at rest the initial velocity is 0.

For an acceleration, a, and time, t, the velocity is v=at. Since at t=4, v=7, then a=7/4=1.75m/s^2

The initial velocity and the acceleration of the ball start from rest, it rolls down a ramp and reaches the ground after 4 seconds are 0 m/s and 3.5 m / s² respectively.

The rate of change of an object's location when viewed from a particular angle and measured in a particular unit of time is known as its velocity.

The average speed of a point for a set period of time while it travels a predetermined distance along its path is equal to the distance traveled divided by the travel time. A train, for instance, moves at an average speed of 50 km/h when it travels 100 km in two hours.

Given:

A ball starts from rest, it rolls down a ramp and reaches the ground after 4 seconds. The final velocity when it reaches the ground is 7.0 m/s,

Calculate the acceleration as shown below,

[tex]v = u + at[/tex]

7 = u + a  × 4

7 = u + 4a

As it starts from rest, then the initial velocity is 0 m/s

a = 7/4 or 3.5  m / s²

Thus, the acceleration is 3.5 m / s² and the initial velocity is 0 m/s.

To know more about velocity:

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Given that,

The frequency of a sonar signal, f = 288 Hz

Wavelength = 5 m

To find,

The speed of the sonar signal in water.

Solution,

Let the speed of the sonar signal is v. The speed in terms of wavelength and frequency is given by :

[tex]v=f\lambda\\\\v=288\times 5\\\\v=1440\ m/s[/tex]

So, the speed of the sonar signal in water is 1440 m/s.

Explanation:

Graph A matches description 4 because the car is coming back.

Graph B matches description 3 because the speed of the car is decreasing.

Graph C matches the description 2 because the car is traveling at a constant rate.

Graph D matches the description 1 because the car is stopped.

Answer:

i think guard but not sure

Answer:

D) the decay rates of radioactive uranium and lead

Explanation:

As we know that when she found the substance it must have some fixed ratio of radioactive uranium and Lead in that substance.

Here since Uranium is radioactive substance so it will continuously convert into Lead and this ratio will change with time

So here we can say that the ratio of radioactive uranium and lead will depend on its decay rate

now to find the age of the substance we can find the present ratio of lead and uranium in that substance and then compare it with freshly prepared substance.

so by the formula

we can find the age of the sample

Answer:

Its D

Explanation:

Answer:

The force of gravity

Explanation:

The sun is able to predictably hold the asteroid and the earth in orbit by the force of gravity is possesses.

During the earth formation of the solar system, the sun captured the earth and other planetary bodies within its region of influence.

Answer:

A producer needs the sun to make its own food, because producers use photosynthesis. In photosynthesis you use the sun to turn the air people breathe out and water into glucose and oxygen.

Explanation:

Hope this helps ^-^

Ground-level ozone is the most common pollutant that is often referred to as "smog".

Smog is a type of air pollution that is characterized by a mixture of smoke and fog.

It typically forms in urban areas with high levels of vehicle and industrial emissions, as well as natural factors such as temperature inversions.

Smog is composed of a complex mixture of pollutants, including ground-level ozone, nitrogen oxides, sulfur oxides, particulate matter, and volatile organic compounds (VOCs).

Exposure to smog can cause a range of health problems, including respiratory issues, heart disease, and cancer. It can also have negative impacts on the environment, including damage to crops, forests, and bodies of water. Efforts to reduce smog often involve reducing emissions from vehicles and industrial sources and promoting cleaner forms of transportation and energy production.

Therefore, The Ground-level ozone is the most common pollutant that is often referred to as "smog".

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Answer:

Speed at bottom of the hill (v) = 11.74 m/s

Explanation:

Given:

Combined mass = 48.8 kg

Height h = 7.05 m

Find:

Speed at bottom of the hill (v)

Computation:

v² = 2gh

v = √2 x 9.8 x 7.05

v = √138.18

v = 11.74 m/s

Speed at bottom of the hill (v) = 11.74 m/s

Answer:

there is no net force onthe car

Explanation:

khan academy

Answer:

the correct one is b,  Decrease the launch speed and Low the launch height

Explanation:

Let's find the solution to the problem in order to answer the questions.

The bullet is fired horizontally with a velocity vo, let's find the time or it takes to reach the ground

      y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²

as it shoots horizontally v_{oy} = 0 and when I reach the floor y = 0

       0 = y₀ - ½ g t2

       t = [tex]\sqrt{\frac{2y_{o} }{g} }[/tex]

where y₀ is the height of the cliff

at this time the bullet recreates a distance of

       x = v₀ t

we substitute

       x = v₀ \sqrt{\frac{2y_{o} }{g} }

There, to reduce the range of the bullet, we must decrease its speed. This is the magnitude that most affects the distance and to a lesser degree we can decrease the height.

When checking the answers, the correct one is b

Answer:

B-Large groups of stars held together by gravity

Explanation:

Answer:

Kinetic energy is the energy of motion. An object that has motion - whether it is vertical or horizontal motion - has kinetic energy. There are many forms of kinetic energy - vibrational (the energy due to vibrational motion), rotational (the energy due to rotational motion), and translational (the energy due to motion from one location to another). To keep matters simple, we will focus upon translational kinetic energy. The amount of translational kinetic energy (from here on, the phrase kinetic energy will refer to translational kinetic energy) that an object has depends upon two variables: the mass (m) of the object and the speed (v) of the object. The following equation is used to represent the kinetic energy (KE) of an object.

KE = 0.5 • m • v2

where m = mass of object

v = speed of object

This equation reveals that the kinetic energy of an object is directly proportional to the square of its speed. That means that for a twofold increase in speed, the kinetic energy will increase by a factor of four. For a threefold increase in speed, the kinetic energy will increase by a factor of nine. And for a fourfold increase in speed, the kinetic energy will increase by a factor of sixteen. The kinetic energy is dependent upon the square of the speed. As it is often said, an equation is not merely a recipe for algebraic problem solving, but also a guide to thinking about the relationship between quantities.

Kinetic energy is a scalar quantity; it does not have a direction. Unlike velocity, acceleration, force, and momentum, the kinetic energy of an object is completely described by magnitude alone. Like work and potential energy, the standard metric unit of measurement for kinetic energy is the Joule. As might be implied by the above equation, 1 Joule is equivalent to 1 kg*(m/s)^2.

1 Joule = 1 kg • m2/s2

Explanation: