What is the purpose of drawing a motion diagram or a particle
model?

Answer:

Her average speed is: 100 m/min

Explanation:

Recall that the formula for average speed is given by:

Speed = Distance / time

Then in our case, this is

Speed = 300 m / 3 min = 100 m/min

Answer: The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased

Answer:

See Below

Explanation:

1) When we add another lamp into a series circuit, the total resistance increases, this means that the total current is the same. Also, the potential difference across each of the lamps decreases. This means that the lamps all become dimmer.

2)When we add another lamp into a parallel circuit in a new branch, the total resistance decreases, the current through each lamp decreases. Also, the potential difference across each of the lamps is the same. This means that the lamps have the same brightness.

a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

Provide instances of the differences between the audible, ultrasonic, and infrasonic frequency ranges. Three sorts of sound waves, each covering a distinct frequency range, are used. These are what they are:

The difference in decibels between two sounds is related to the ratio of their intensities (or power) by the following formula:

dB₂ - dB₁ = 10 log10(I₂ / I₁)

where dB₁ and dB₂ are the decibel levels of the two sounds, and I₁ and I₂ are their intensities (or power).

Using this formula, we can find the ratio of the intensity of a 150-dB sound to that of an 80-dB sound:

150 dB - 80 dB = 10 log10(I₁₅₀ / I₈₀)

70 = 10 log10(I₁₅₀ / I₈₀)

7 = log10(I₁₅₀ / I₈₀)

10^7 = I₁₅₀ / I₈₀

I₁₅₀  = 10^7 * I₈₀

This shows that the intensity of a 150-dB sound is 10 million times greater than that of an 80-dB sound.

Therefore, a 150-dB sound is approximately 10 million times louder than an 80-dB sound.

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Answer:

Option A. 3 m/s

Explanation:

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

Mass of cart = 4 Kg

Momentum of cart = 12 kg•m/s.

Velocity of cart =?

Momentum is simply defined as the product of mass and velocity. Mathematically, it is expressed as:

Momentum = mass × velocity

Thus, we can obtain the velocity of the cart by using the above equation as illustrated below:

Mass of cart = 4 Kg

Momentum of cart = 12 kg•m/s.

Velocity of cart =?

Momentum = mass × velocity

12 = 4 × velocity

Divide both side by 4

Velocity of cart = 12 / 4

Velocity of cart = 3 m/s

Therefore, the velocity of the cart is 3 m/s

The speed of the roller coaster at the bottom of the hill if the track was frictionless is 34.04 m/s.

Given that the weight of the roller coaster is 2000 kg and the initial vertical drop of the ride is 59.3 m. We are to find the speed of the roller coaster at the bottom of the hill if the track was frictionless.We know that the roller coaster will lose potential energy due to the vertical drop. Assuming there is no friction, the potential energy will be converted into kinetic energy at the bottom of the hill.Considering the conservation of energy between the potential and kinetic energy, we can set the initial potential energy equal to the final kinetic energy. We can use the formula to calculate potential energy, which is PE = mgh where m = 2000 kg, g = 9.8 m/s², and h = 59.3 m. Therefore,PE = 2000 kg × 9.8 m/s² × 59.3 m = 1,157,924 JWe can use the formula to calculate kinetic energy, which is KE = 1/2mv² where m = 2000 kg and v is the final velocity. Therefore,KE = 1/2 × 2000 kg × v².The total energy remains constant as we know there is no friction. Therefore the final kinetic energy will be equal to the initial potential energy,1,157,924 J = 1/2 × 2000 kg × v²v² = (2 × 1,157,924 J) / 2000 kgv² = 1157.924v = √1157.924v = 34.04 m/s.

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Answer:

Resistance in circuit = 0.53 ohm (Approx.)

Explanation:

Given:

Flow of current in circuit = 15 amp

Potential difference = 8 Volts

Find:

Resistance in circuit

Computation:

In an electrical system, resistance is a stopper of a material to electric current.

Resistance in circuit = Potential difference / Flow of current in circuit

Resistance in circuit = 8 / 15

Resistance in circuit = 0.53 ohm (Approx.)

A source travelling in the direction of the observer causes Doppler blueshift.

When an object is moving towards us, the light from the object is known as blueshift.

The phrase refers to any relative motion, that causes a decrease in the wavelength and rise in frequency, including those that take place outside of the visible spectrum.

During the motion of the object towards us, blueshift will happen, thus shifting light to shorter wavelengths on the blue side of the spectrum.

This causes the color to shift from the red to the blue end of the spectrum in visible light.

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Answer:

The answer to the question is:

\(38.28 m {s}^{ - 2} \)

The acceleration of the roller coaster is 38.28 m/s.

Centripetal acceleration is a characteristic of an object's 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 center.

Given that: the speed of the  roller coaster: v = 35 m/s.

Radius of the loop: r = 32 meter.

Centripetal acceleration of the roller coaster = speed²/radius

= (35×35)/32 m/s²

= 38.28 m/s².

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Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely at 180.

A mirror is said to be inclined when it is positioned perpendicular to a surface or if a flat mirror is positioned at an angle from the base (other than 90 degrees).

We first need to comprehend light in order to comprehend mirrors. According to the rule of reflection, a light beam that strikes a surface will bounce back like a tennis ball bounced against a wall.

Always equal to the angle leaving the surface, or the angle of reflection, is the entering angle, also known as the angle of incidence.

Therefore, Two mirrors are inclined at an angle of 30 degrees a ray of light obliquely at 180.

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Answer:

negatively charged

Explanation:

Answer: electrons are negative charged

Explanation:

Answer:

047.1

Explanation:

frequency equals velocity over lambda

Answer:

The electrical energy stored in the capacitor will be cut in half.

Explanation:

The energy in a capacitator is given by E=C\(V^{2}\)/2 and the formula for the Capacitance in a capacitator is C= \(\frac{Q}{V}\) = ε\(\frac{A}{d}\) .

So if we replace C = ε\(\frac{A}{d}\)  in the first equation we have:

E = ε\(\frac{AV^{2} }{2d}\)

5)

When a wire coil is spun or rotated through a magnetic field, electric current is produced. Electromagnetic induction occurs and this is the principle used in generators. Thus, the correct option is

C) Current ....Generator

Answer:

How much kinetic energy does a 4 Kg cat have while running at 9 m/s?

its 5 J of kinetic energy.

Explanation:

Answer:

162 joules

Explanation:

Kinetic Energy = 1/2 * m * v^2

                        = 1/2 * 4 * 9^2 = 162 joules

Answer:

"2941.96 J" is the appropriate answer.

Explanation:

The given values are:

Mass,

m = 79 kg

Height,

h = 10.5 m

Now,

The total energy at the given height will be,

⇒ Potential energy = mgh

On substituting the values, we get

                                = \(79\times 9.8\times 10.5\)

                                \(=8129.1 \ J\)

So,

⇒ At height 6.7 m, total energy =  At height 10.5 m, total energy

On substituting the values, we get

⇒ \(Potential \ energy+Kinetic \ energy=8129.1\)      

⇒       \(79\times 9.8\times 6.7+Kinetic \ energy=8129.1\)

⇒                \(5187.14+Kinetic \ energy=8129.1\)

⇒                                   \(K.E=8129.1-5187.14\)

⇒                                   \(K.E=2941.96 \ J\)

Answer:

The student's velocity should be 3m/s.

Explanation:

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The velocity of the running back is 8 m/s.

To calculate the velocity of the running back, we can use the work-energy principle. The work-energy principle states that the work done on an object will be equal to the change in its kinetic energy.

Given; Mass of the running back (m); 80 kg

Work done (W); 2560 Joules

We can use the formula for kinetic energy;

KE = 0.5 × m × v²

where KE is the kinetic energy, m is the mass, and v is the velocity of the running back.

According to the work-energy principle, the work done is equal to the change in kinetic energy;

W = KE - KE0

where KE0 is the initial kinetic energy.

Rearranging the formula for kinetic energy, we get;

KE = 0.5 × m × v²

Substituting the given values, we get;

2560 = 0.5 × 80 × v²

Solving for v;

v² = (2 × 2560) / 80

v² = 64

v = √(64)

v = 8 m/s

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Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.

Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:

1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.

2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.

3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.

4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.

These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.

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Answer:

d

Explanation:

We can achieve this design by adding weight to the second rocket, such as by adding a heavier nose cone, fins, or other components.

The first model rocket has a mass of 0.2 kg and is powered by a motor that can provide a force of 200 N.

Using Newton's second law of motion, we can calculate the acceleration of the rocket:

F = ma

where;

Rearranging the equation, we can solve for the acceleration:

a = F/m

Plugging in the values, we get:

a = 200 N / 0.2 kg

a = 1000 m/s^2

So the first model rocket accelerates at 1000 m/s².

The second model rocket is being designed to accelerate one-fourth as much as the first rocket. This means that its acceleration will be:

a' = 1/4 * a

a' = 1/4 * 1000 m/s²

a' = 250 m/s²

So we need to design the second rocket so that it accelerates at 250 m/s².

We can use the same motor, so the force applied to the rocket will still be 200 N. Therefore, we need to change the mass of the rocket to achieve the desired acceleration.

Using the equation for acceleration, we can solve for the mass needed to achieve an acceleration of 250 m/s²:

a' = F/m'

250 m/s² = 200 N / m'

m' = 200 N / 250 m/s^2

m' = 0.8 kg

So the mass of the second rocket needs to be 0.8 kg in order to achieve an acceleration of 250 m/s² with the same motor.

Thus, we can achieve this by adding weight to the second rocket, such as by adding a heavier nose cone, fins, or other components. Alternatively, we could also increase the size of the second rocket while keeping the same mass, which would decrease its acceleration but also increase its overall speed and altitude.

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Answer:

2.0 m/s

Explanation:

Remember that F = maF=maF, equals, m, a, where FFF is the net force, mmm is the mass of the object, and aaa is its acceleration. To solve this problem, we will need to first find the net force acting on the piano and then use F = maF=maF, equals, m, a to find the piano’s acceleration.

Hint #22 / 4

The net force is the sum of all of the forces on the piano. In this circumstance, Elvis's and Noah's forces are in the same direction, and the friction force is in the opposite direction. So, our net force equation would be:

​

=400 N+150 N−100 N

=450 N

Now, we can use F = maF=maF, equals, m, a and solve for the acceleration:

225 kg

450 N

=2.0

The acceleration of the piano is 2.0 m/s

The acceleration of the piano is 2m/s².

We know the formula for force is

F =ma

where f is force, m is mass and a is acceleration.

We need to calculate the total force used in moving the piano

F= Total force- Frictional force

F= 400N+150N-100N= 450N.

We have F=450N and m= 225kg

F=ma

450N= 225ˣ a

a= 450/225

a= 2m/s²

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THIS IS THE COMPLETE QUESTION BELOW

With what minimum speed must you toss a 130 g ball straight up to just touch the 14-m-high roof of the gymnasium if you release the ball 1.1 m above the ground

And what speed does the ball hit the ground? Solve this problem using energy.

Answer

a)minimum speed must you toss a 130 g is 15.9090m/s

b)speed the ball hit the ground is 16.57m/s

Explanation:

a)We know that For any closed/isolated system, the total energy is CONSERVED.

K.E. lost by the ball=The change in P.E of the ball at 1.1m above the ground as well as the P.E. of the ball at 14 m-high roof

This statement can be expressed as the expression below from K.E and P.E energy formula

P.E. = mgh

K.E. = (1/2)mv^2

Therefore,

(mgh1 - mgh2)=(1/2)mv^2

Where h2=the ball height above the ground=1.1m

h1=ball height at roof of the gymnasium= 14m

Then if we substitute we have

[(10) x (0.14) x (9.81)] - [(1.1) x (0.14) x (9.81)] = (1/2)(0.14)(v^2)

16.45137=0.065V^2

V=15.9090m/s

minimum speed must you toss a 130 g is 15.9090m/s

b)To calculate the speed the ball hit the ground?

This is the highest point (14m-high roof),and the type of the energy the ball possesses is Po.tential energy only.

At the lowest point (ground), the energy the ball possesses is K.E. only.

P.E at 10m-high roof = K.E. at ground.

(14) x (0.13) x (9.81) = (1/2) x (0.13) x v^2

17.8542= 0.065V^2

V= 16.57

Therefore,And speed the ball hit the ground is 16.57m/s

a) To determine if the car will hit the object before coming to a stop, we need to calculate the distance required to stop the car, assuming maximum braking deceleration. We can use the following formula:

d = (v^2) / (2a)

where:

d = distance required to stop

v = initial velocity

a = acceleration/deceleration

In this case, v = 100 km/h = 27.78 m/s (converted from km/h to m/s)

a = -7 m/s^2 (negative sign indicates deceleration)

We know that the car's headlights extend out to a range of 30 m, so if the distance required to stop the car is greater than 30 m, the car will hit the object before coming to a stop.

Plugging in the values to the formula, we get:

d = (27.78^2) / (2 x -7) = 108.61 m

Since 108.61 m is greater than 30 m, the car will hit the object before coming to a stop.

b) To calculate the time required to stop, we can use the following formula:

t = v / a

where:

t = time required to stop

v = initial velocity

a = acceleration/deceleration

Plugging in the values, we get:

t = 27.78 / 7 = 3.97 s

Therefore, it will take 3.97 seconds to stop the car.

Answer:

3.94784176044N/m

Explanation:

The period of a spring is found using the formula T=2π\(\sqrt{\frac{m}{k} }\), where m is the mass and k is the spring constant.

The period can also be found using the formula T=\(\frac{1}{f}\), where f is the frequency.

T=T

∴2π\(\sqrt{\frac{m}{k} }\)=\(\frac{1}{f}\)

2π\(\sqrt{10/k}\)=1/0.1

\(\sqrt{10/k}\)=10/2π

10/k=1.59154943092²

10/2.53302959106=k

k=3.94784176044N/m

.

Answer:

The circuit is missing attached below is the required circuit

answer :

a) Ic = 1.944 mA

  Rp = 288.66 kΩ

b) The Emitter-base Junction of the BJT is forward biased while its collector-base junction is reverse biased

Explanation:

Rc = 3.6 kΩ

VBE = 0.8 v

1) predict Ic and specify Rp to establish Vce at 5 V

we will apply Kirchhoff's voltage law to resolve this

solution attached below

b ) The BJT is said to be in Forward reverse bias because The Emitter-base Junction of the BJT is forward biased while its collector-base junction is reverse biased

The velocity of the object the moment it reaches the ground is 160 feet per s.

what is  velocity?

constant a=32 feet/s

Now as we know that the Derivative of the position is Velocity.

Constants: 0=400-16t2

400=16t2

25=t2

t=5s

ds/Dt=v(t)=0-32t

dv/Dt=a(t)=-32 (gravity)

v(t) = -32(5s) = -160 feet/s Negative sign merely indicates a direction.

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Answer:

v = 1.69 m/s

Explanation:

Given that,

Displacement of the student is 304 m due North and it takes 180 s.

We need to find the student's average velocity. Using formula of velocity.

Velocity = displacement/time

\(v=\dfrac{304\ m}{180\ s}\\\\v=1.69\ m/s\)

Hence, the student's average velocity is 1.69 m/s.

The student's average velocity will be "1.69 m/s".

The main distinction between velocity as well as speed would be that velocity, like speed, seems to have a direction and therefore it is a vector quantity.

This same distance travelled together along a straight line throughout a particular direction from either the beginning point is defined as displacement. Because displacement has both size as well as the direction, it's a vector quantity.

Given values:

We know,

The velocity (v):

= \(\frac{Displacement}{Time}\)

By substituting the values, we get

= \(\frac{304}{180}\)

= \(1.69 \ m/s\)

Thus the answer above is correct.

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a 1500 watt hair dryer uses 1500 J every second.

1500 J = 1500 Ws = 1500/3600 Wh = 0.000417 kWh

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