Amazon delivery boxes are launched from a horizontal conveyor belt moving at a rate of 3 m/s into bins for shipping. If the surface of the conveyor belt is 1.4 m off the ground, what is the range of each Amazon box?


Show some work

Answer:

Explanation:

In projectile,

Maximum height = \(\frac{u^{2}sin^{2} \theta }{2g}\) and range = \(\frac{u^{2}sin2\theta }{g}\)

u = velocity of the body

\(\theta\) = angle of launch

g = acceleration due to gravity

If the range equals the maximum height in an ideal projectile launch on a horizontal plane, this means;

\(\frac{u^{2}sin^{2} \theta }{2g} = \frac{u^{2}sin2\theta }{g}\)

since \(sin2\theta = 2sin\theta cos\theta\)

\(\frac{u^{2}sin^{2} \theta }{2g} = \frac{u^{2}2sin\theta cos\theta }{g}\\\frac{sin\theta}{2} =2cos\theta \\sin\theta = 4cos\theta\\\frac{sin\theta}{cos\theta} = 4\\tan\theta = 4\\\theta = tan^{-1} \\4\theta = 75.9^{0}\)

The angle at which the range equals the maximum height in an ideal projectile launch on a horizontal plane is approximately 76°

Answer:

substances will move faster and become warm to the touch.

Explanation:

when the radiation from the sun comes down and hits substances, the substances absorbs the radiation making them warm. the absorbed energy is transformed into heat energy. this heat energy plays an important role in regulating the temperature of the Earths crust, surface waters, and low atmosphere.

Answer:

Explanation:

The vector ( -A) will be directed south, and its modulus is 3 m

If vector A is 3 m north, then vector -A would be in the south direction and its modulus will be 3 m.

Anything that has both a direction and a magnitude is referred to as a vector. It is often represented by an arrow whose length is proportional to the magnitude of the quantity and whose direction is the same as that of the quantity. A vector does not have position while having magnitude and direction.

Vector quantities include things like movement, acceleration, force, momentum, weight, light speed, gravitational field, current, and more. Zero vector, unit vector, position vector, co-planar vector, equal vector, collinear vector, like vector, and unlike vector, are some types of vectors.

If vector A is 3 m north, then vector -A would be in the south direction and its modulus will be 3 m.

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Option (b) is correct, the second transition from the n=2 level to the n=1 level results in the emission of the longest-wavelength photon.

In hydrogen atom transitions, the energy of a photon emitted during a transition is given by the equation ΔE = E_final - E_initial = hc/λ, where ΔE is the energy difference between the initial and final levels, h is Planck's constant, c is the speed of light, and λ is the wavelength of the emitted photon.

When a hydrogen atom transitions from the n=3 level to the n=2 level, it undergoes an energy decrease, resulting in the emission of a photon. This transition corresponds to the Balmer series in the hydrogen spectrum. However, the transition from the n=2 level to the n=1 level is associated with the Lyman series, which involves higher energy differences.

Since the energy differences increase as we move from higher energy levels to lower energy levels, the transition from the n=2 level to the n=1 level has a larger energy difference compared to the transition from the n=3 level to the n=2 level. Consequently, the second transition emits a photon with a longer wavelength than the first transition.

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RS is a composition of rotation and reflection in the Euclidean plane E². The precise description of RS depends on the specific properties of the rotation R and reflection S.

In general, if R and S have the same axis or line of symmetry, the composition RS results in a translation. If R and S have intersecting lines of symmetry, RS yields a glide reflection. If R and S have perpendicular lines of symmetry, RS produces a rotation.

It is important to consider special cases, such as parallel lines of symmetry, coinciding axes, or perpendicular lines of reflection, as they may lead to different outcomes. The classification of isometries in E² involves understanding how rotations and reflections combine to create different transformations in the plane.

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Answer:

A.

Explanation:

A man using a microwave to boil water

Answer:

d

Explanation:

Answer:

C) It increases the passenger's stopping time, and this decreases the force.

The airbag help protect a passenger in a car following a car accident as it increases the passenger's stopping time, and this decreases the force. The correct option is C.

Air bags provide additional protection and are best used in conjunction with seat belts.

Airbags are cushions that inflate quickly upon impact to protect passengers in the event of a collision.

During a crash, they provide a soft restraint between the occupants and the vehicle interior, which can reduce or even prevent injuries.

Air bags are used in automobiles because they can reduce the force experienced by a person during an accident.

Air bags lengthen the time required to stop the driver and passenger's momentum. The motion of the driver and passenger during a collision propels them towards the windshield.

Thus, the correct option is C.

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Shells are the orbits in which electrons move with high velocities. The number of shells in an element also indicates the Period number.

The nucleus is in the centre of the element. It holds the protons and neutrons.

Shells: Shells or orbits are circular paths around the nucleus in an atom in which the electrons revolve.

Nucleus: It is the center of an atom that contains protons and neutrons.

The difference between Shell and nucleus is-

1. Nucleus is primarily composed of both proton and neutron that is positively and negatively charged particles while the shell is composed of only electrons that are negatively charged particles.

2. The probability of finding an electron in the nucleus is negligible while the probability of finding an electron in shells is maximum. Electrons occupy different shells based on their energy levels.

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Answer:

A force that tries to slow things down that are moving through air. It is a type of friction. Air resistance and water resistance are both sometimes called drag.

You have a potential difference of 9 v. The amount of work done to transfer 0.33 c of charge through it is (w)= 2.97 Joule.

When a current pass through a wire, the wire trying to stop the current flow. Then you have to give some amount of force from outside to help the current flow. That is called the work done by the current. It can be measured in Joule.

To calculate the work done we are using the formula here is,

w= qv

Here we are given,

q= The charge of the current. = 0.33 C.

v= The potential difference of the current. =9 Volt.

We have to calculate the work done by the current. = w Joule.

Now we put the values in above equation,

w= qv

Or, w=0.33*9

Or, w= 2.97 Joule.

So we can say that, The amount of work done is (w)= 2.97 Joule.

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If a person pushed on the door to the left of the handle, they would need to use less force than if they used the handle.

The reason for this is that the handle provides a mechanical advantage over pushing directly on the door. When the handle is used, the force applied to it is multiplied by the mechanical advantage, which is the ratio of the distance through which the handle moves to the distance through which the door moves.

For example, if the handle moves the door a distance of 2 cm and the door moves a distance of 5 cm when pushed directly on it, the mechanical advantage is 2:5, or 0.4. This means that for every 0.4 units of force applied to the handle, the door moves 1 unit.

On the other hand, if the person pushed directly on the door, the force applied to it would be the same as the force applied to the door, without any mechanical advantage. In this case, the door would move 5 cm, not 2 cm, for every unit of force applied to it.

Therefore, the person would need to use more force if they pushed directly on the door than if they used the handle, because they would have to apply the same amount of force over a greater distance to move the door the same distance.  

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The magnitude and polarity of the counter-electromotive force (counter-EMF) in a DC motor are determined by several factors, including the motor's speed of rotation and the strength of the magnetic field.

The counter-EMF opposes the applied voltage and is generated due to the motor's inherent characteristics.

1. Speed of rotation: The counter-EMF is directly proportional to the speed of rotation of the DC motor. As the motor spins faster, the rate of change of magnetic flux through the coils increases, generating a higher counter-EMF. Therefore, the faster the motor rotates, the larger the magnitude of the counter-EMF.

2. Magnetic field strength: The strength of the magnetic field in the motor's armature also affects the counter-EMF. The magnetic field strength depends on factors such as the current flowing through the motor's field windings and the design of the motor. A stronger magnetic field will result in a higher counter-EMF.

Regarding polarity, the counter-EMF in a DC motor is opposite in polarity to the applied voltage. This is because the counter-EMF is generated by the motor's rotation and acts as a back voltage that opposes the flow of current. The polarity of the counter-EMF ensures that it works against the applied voltage, reducing the net voltage across the motor and controlling the current flow.

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As the mass of the central star increases, the distance to the habitable zone increases and the size (width) of the habitable zone increases.

A star is a large luminous object found in space which produces heat and light energy as well as electromagnetic radiation.

The habitable zone of a star is the zone or area where liquid water can be found.

The distance habitable zone of a star increases with increase in mass of the star.

Therefore, as the mass of the central star increases, the distance to the habitable zone increases and the size (width) of the habitable zone increases.

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The correct answer is D. The movement of the molecules will gradually increase.

Explanation:

At the beginning of the model the state of matter of the water is solid, in this, particles have a defined arrangement and are together, which stops particles from moving freely and only allows them to vibrate. However, as the substance is heated the thermal energy (heat) increases in the sample, this causes particles to move more and the arrangement of it changes. Due to this, when the ice melts and there is liquid water particles move more than in solid states, which makes ice lacks a defined shape. Moreover, as the heat continues to increase the thermal and kinetic energy (movement) increases, indeed in gas state (water vapor) particles will move freely. This means the movement or kinetic energy in particles gradually increases in the model.

Answer: D

Explanation:

Out of the sources mentioned, the deuterium lamp is commonly used as a continuum source in ultraviolet (UV) spectroscopy. This is because it emits light in the UV range, which is essential for UV spectroscopy.

The lamp contains a deuterium gas-filled tube that produces a continuous spectrum of light when an electric current is passed through it.

The light produced by the deuterium lamp is stable and does not fluctuate, which makes it an ideal source for UV spectroscopy

Moreover, the intensity of the light produced by the lamp can be easily controlled, making it convenient for various experiments. Tungsten lamps are not suitable for UV spectroscopy because they emit light mostly in the visible and infrared range.

Similarly, mercury arc lamps emit light in the UV range, but their spectrum is discontinuous, which can cause inaccuracies in measurements. The globar and hollow cathode lamps are not used as continuum sources in UV spectroscopy.

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(i) The thickness of polyurethane required is 210 mm.

(ii) The steady electrical power consumption required to balance the heat gain is 11.1 kW.

(i) The thermal resistance of the insulation material, Rc can be given as follows: Rc = (ln(r2/r1))/(2πk), WHere, r2 is the outer radius of the insulation, r1 is the inner radius, and k is the thermal conductivity of the material.

When Rc is equated to the sum of the thermal resistances, Rtot, of all the layers of the material and the air gap, the heat flow through the material can be calculated.

The heat flow is given by the following expression: Q/ A = (T2 − T1)/Rtot, Where A is the area of the wall, T2 is the inner wall temperature, T1 is the outer wall temperature, and Q is the heat flow rate.

(a) The heat flow through the wall can be calculated as follows: Q/A = (−10 − 30)/Rtot = −40/RtotW/m

2Rtot = Rc + Rpi + Rpo + Rag, Where Rpi is the internal polyurethane resistance, Rpo is the external polyurethane resistance, and Rag is the air-gap resistance.

The air-gap resistance can be neglected since it is small compared to the polyurethane resistance. Rpi can be calculated using the following equation: Rpi = (ln(r2/r1))/(2πk) = (ln(0.5/0.41))/(2π x 0.026) = 0.00178 K/m

Rpo can be calculated using the following equation: Rpo = (ln(r3/r2))/(2πk) = (ln(0.54/0.5))/(2π x 0.026) = 0.00294 K/m

Rtot = Rpi + Rpo = 0.00472 K/m

The heat flow rate can be calculated using the following equation: Q/ A = (−10 − 30)/Rtot = 8000 W/m²

The heat flow rate through the wall is the product of the heat flow rate and the area of the wall. This is given by the following equation: Q = 8000 x 4 m2 = 32000 W

The thermal conductivity of polyurethane is 0.026 W/mK.

The thickness of the polyurethane can be calculated using the following equation: Rpi = (ln(r2/r1))/(2πk) x t = 0.00178 x t = 1/Rpi = 211.85 mm ≈ 210 mm

(ii) The steady electrical power consumption can be calculated as follows:

P = Q/COP x η = Q/ (COP x η), WHere, η is the electric motor efficiency.

The steady electrical power consumption is given by the following equation: P = 32000/ (3.6 x 0.8) = 11111.11 W ≈ 11.1 kW

Assumptions made: The heat flow rate through the wall is uniform and the wall is in a steady state. The air gap resistance can be neglected. The polyurethane insulation has a constant thermal conductivity, and the temperature gradient across each layer is uniform. The freezer is operating under standard atmospheric pressure.

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Answer: A radio wave is generated by a transmitter and then detected by a receiver. An antenna allows a radio transmitter to send energy into space and a receiver to pick up energy from space. Transmitters and receivers are typically designed to operate over a limited range of frequencies.

Explanation:

The correct answer is (B) the charge on the capacitor is doubled. The capacitance of a parallel-plate capacitor is given by:

C = εA/d

Where C is the capacitance, ε is the permittivity of the material between the plates, A is the area of each plate, and d is the distance between the plates.

The charge on the capacitor is given by:

Q = CV

Where Q is the charge, C is the capacitance, and V is the voltage between the plates.

If the voltage between the plates is doubled, the capacitance remains constant. Therefore, the charge on the capacitor is:

Q' = C(2V) = 2CV

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Answer:

The total she has to pay is R8500 plus the 5% interest.

PLEASE ADD BRAINEEST

Answer:

B. I looked it up I hope it's right

Explanation:

i hope this helps.

Answer:

its obviously C

Explanation:

i smart like dat

The electric force between the comb and balloon changes as they are brought closer together the electric force increases, this is because the electric force is directly proportional to the distance between the two objects (the comb and the balloon).

As the distance between the two objects decreases, the electric force increases exponentially, the closer the two objects are brought together, the stronger the electric force becomes. The electric force between the comb and balloon is caused by the presence of static electricity. Static electricity is the buildup of electrical charges on the surface of an object. The buildup of charges is caused by the transfer of electrons from one object to another. When two objects come into contact with each other, there is a transfer of electrons between the two objects.

The object that loses electrons becomes positively charged, while the object that gains electrons becomes negatively charged.As a result of the transfer of electrons, one object becomes positively charged and the other becomes negatively charged. The opposite charges attract each other, causing the electric force between the two objects. Therefore, the electric force between the comb and balloon increases as they are brought closer together.

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Answer:

Well, I know basketball is one. Also, Track and Field and tennis

The average velocity of ladybug crawling up the wall, v = 0.1 m/s.

To find average velocity using the formula,

v = dx / dt

where,

v is average velocity

dx is distance

dt is time

So, putting the values

We have,

v = 1m / 10s

v = 0.1 m/s

The difference between the change in position or displacement (x) and the time intervals (t) during which the displacement occurs is known as average velocity. Depending on how the displacement is displaced, the average velocity may be positive or negative. Meters per second (m/s or ms-1) is the standard international unit for average velocity.

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Answer:

360J

Explanation:

In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest.

Answer:5250 N

Explanation: ig:iihoop.vince

The force of friction between the car's tires and the road is 5250 N

Centripetal force is the force that is perpendicular to an object moving in circular motion. It is given by:

F = mv²/r

where m is the mass of object, v is the velocity and r is the radius of circle.

Given that m = 700 kg, v = 30 m/s, r = 120 m, hence:

F = mv²/r = 700 * 30²/120 = 5250 N

The force of friction between the car's tires and the road is 5250 N

Answer:

Instead, we see the Moon because of the Sun's light reflects back to our eyes. In fact, the Moon reflects so much of the Sun's light that it's the second brightest object in the sky after the Sun. ... These objects — other planets and stars — can usually only be seen at night when the Sun's light doesn't outshine them.

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Answer:

1) 50 km/h

2)80/9 m/s

Explanation:

Speed = Distance / time

Explanation:

V² = Vx² + Vy²

= [3.14 cos(30)]² + [2.71 cos(300)]²

= 9.23

V = root 9.23 = 3.038

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Answer:

135,000 m

Explanation:

(1500 m/s) (90 s) = 135,000 m

The distance travelled by sonar pulse will be 135,000 m. Distance is a numerical representation of the distance between two objects or locations.

The distance between two successive troughs or crests is known as the wavelength. The peak of the wave is the highest point, while the trough is the lowest.

The wavelength is also defined as the distance between two locations in a wave that have the same oscillation phase.

The length of a wave is measured in its propagation direction. The wavelength is measured in meters, centimeters, nanometers, and other units since it is a distance measurement.

The distance travelled by sonar pulse is found as;

\(\rm d = v \times t \\\\ \rm d = 1500\times 90 \\\\ \rm d = 135,000 \ m\)

Hence, the distance travelled by sonar pulse will be 135,000 m.

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