A car travels 60 m/s for 60 secs.
Calculate how far it traveled.

The electric field at the midpoint between the two charges is  determined as + 4.4 x 10⁸ N/C.

The electric field at the midpoint between the two charges is calculated as follows;

E = F/Q

E = kQ/r²

where;

The distance at midpoint between the charges is calculated as follows;

d = r/2 = 3 cm / 2 = 1.5 cm = 0.015 m

E = E₁  +  E₂

E = ( 28 x 10⁻⁶ x 9 x 10⁹ )/(0.015²) + (-17 x 10⁻⁶ x 9 x 10⁹ ) / ( 0.015² )

E = 1.12 x 10⁹  - 6.8 x 10⁸

E = 4.4 x 10⁸ N/C

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The angles and orientations of the individual vectors being added affect the direction of the vector sum.

To find the direction of the vector sum, we need to consider the individual vectors and their respective magnitudes and directions. The vector sum is determined by adding the individual vectors together.

Let's assume we have two vectors, A and B. Each vector can be represented by its magnitude and direction. The magnitude represents the length or size of the vector, while the direction indicates the orientation or angle with respect to a reference axis.

To find the vector sum, we add the corresponding components of each vector. Let's say vector A has a magnitude of 5 units and is pointing in the northeast direction, and vector B has a magnitude of 3 units and is pointing due north.

When we add these vectors, we combine their magnitudes and directions. The resulting vector sum, let's call it C, will have a magnitude equal to the sum of the magnitudes of A and B (5 + 3 = 8 units). The direction of vector C will depend on the angle between vector A and vector B.

If the angle between A and B is such that they are pointing in the same direction, the resulting vector C will also point in that direction. If the angle between A and B is different, the resulting vector C will have a direction that lies somewhere between the directions of A and B.

In summary, the direction of the vector sum is determined by the angles and orientations of the individual vectors being added.

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Given:

The angle of incidence is

The light travels from the air to polystyrene.

The refractive index of air is n1 = 1

The refractive index of polystyrene is n2 = 1.6

Required: Angle of refracted ray.

Explanation:

According to Snell's law,

On substituting the values, the angle of refraction will be

The angle of refraction is 13.53 degrees.

Final Answer: The angle of refraction is 13.53 degrees.

Answer: Motion that follows a curved line.

Explanation: like when you pass the ball to your fellow teammate during basketball it goes in a curved motion through the air because of gravity.

Answer:

To find the net charge on the sphere using electric flux, we can use the formula:  

Φ = Q/ε0

Where Φ is the electric flux, Q is the charge, and ε0 is the permittivity of free space.  

Given that the electric field 20 cm from the center of the sphere is N/C and points radially inwards, we can use the formula for electric field due to a charged sphere to find the charge on the sphere:

E = kQ/r^2  

Where E is the electric field, k is Coulomb's constant, Q is the charge, and r is the distance from the center of the sphere.  

Substituting the given values, we get:  

20 = (1/4πε0)(Q)/(0.2)^2  

Solving for Q, we get:  

Q = (20)(0.2)^2(4πε0)  

Q = 0.64πε0 C  

Now, substituting this value of Q in the formula for electric flux, we get:  Φ = Q/ε0 = (0.64πε0)/(ε0) = 0.64π C  

Therefore, the net charge on the sphere is 0.64π C.

Answer:

True.

Explanation:

The density of an object is given by its mass divided by its volume. It can be given as follows :

\(d=\dfrac{m}{V}\)

It can be seen that the density of an object is directly proportional to its mass. It means if the mass of an object increase, its density will also increase. Hence, the given statement is true.

Ben as a psychology student is most likely conducting a behavioral study.

What is psychology?

Psychology can simply be defined as the study of human mind, conscious and unconscious, thoughts and feelings.

In conclusion, Ben as a psychology student is most likely conducting a behavioral study.

Some few branches of psychology are:

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The period of the pendulum, given that the pendulum has an angular velocity about the pivot point of 0.66 radians/sec is 9.52 seconds

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

The period and angular velocity are related according to the following formula:

ω = 2π/ T

Inputting the given parameters, we can obtain the period of the pendulum as follow:

0.66 = (2 × 3.14) / T

0.66 = 6.28 / T

Cross multiply

0.66 × T = 6.28

Divide both sides by 0.66

T = 6.28 / 0.66

T = 9.52 seconds

Thus, we can conclude that the period of the pendulum is 9.52 seconds

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Answer:

0%

Explanation:

There is no purple geneotype with either parents so there will be 0 purple and 100% white

Answer:

Explanation:

Given that,

The current in the light bulb, I = 0.5 A

(a) We know that,

Electric current = charge/time

or

Q = It

Put t = 2 hours = 7200 s

So,

Q = 0.5 × 7200

Q = 3600 C

(b) Charge on one electron, \(Q=1.6\times 10^{-19}\ C\)

Let there are n electrons flow through the bulb in 2 hours.

I = Q/t

Since, Q = ne

So,

I = ne/t

\(n=\dfrac{I\times t}{e}\\\\n=\dfrac{0.5\times 7200}{1.6\times 10^{-19}}\\\\n=2.25\times 10^{22}\)

Hence, this is the required solution.

Answer:

a)   P' = P_original, b)  P ’= P_original + ρ  g Δh

Explanation:

The expression for nanometric pressure is

          P = ρ g h

where ρ  is the density of the liquid and h is the height

a) we change the radius of the barrel, but keeping the same height

as the pressure does not depend on the radius it remains the same

        P' = P_original

b) We change the barrel height

         h ’≠ h

we substitute in the equation

      P ’= ρ  g h’

      h ’= h + Δh

      P ’= ρ  g (h + Δh)

      P ’= (ρ  g h) + ρ  g Δh

      P ’= P_original + ΔP

In this case, the pressure changes due to the new height,

*if it is higher than the initial one, the pressure increases

*if the height is less than the initial one, the pressure is less

This phenomenon is reflex action.

Reflex action is a surprising and involuntary response to stimuli. It helps organisms to quick adapt to an damaging condition that could have the potential to cause physical damage or maybe loss of life. Pulling our palms away right now after touching a hot or cold object is a traditional example of a reflex movement.

There are two reflexes, true reflexes, and bad reflexes. Proper reflexes assist with exercising, sports, and ordinary bodily activities such as driving, crossing the street, and working, however terrible reflexes can lead to damage and harm.

In a reflex action, the brain performs no element. The spinal cord, which reacts with out thinking about how to reply to stimuli, is in rate of those automated moves. It elicits no meaningful response inside the mind.

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The ions are;

S^2- Gained 2 electrons

Li^+ - Lost one electron

Al^3+ - Lost 3 electrons

Cl^- gained one electron

Sr^2+ Lost two electrons

P^3- gained 3 electrons

As an atom or molecule acquires or loses one or more electrons, ions are created. Protons and neutrons make up the positively charged nucleus of an atom, which is encircled by negatively charged electrons. An atom typically has a neutral charge because the amount of electrons and protons in it equals one.

The balance between the negatively charged electrons and positively charged protons is upset when an atom receives or loses an electron, creating an ion with a positive or negative charge.

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Answer:

9.8m/s

Explanation:

Answer: The speed 1934

5.73 seconds pass before the centripetal acceleration equals the tangential acceleration in strength.

This enables you to calculate the change in velocity in metres per second squared (m/s²). The change in velocity (v) over the change in time (t) is known as acceleration (a). It can be determined using the formula a = v/t.

a = v²/r

where a is the centripetal acceleration, v is the speed of the car, and r is the radius of the circular track (half the diameter).

a = (2.97 m/s²)

r = (195 m)/2 = 97.5 m

v² = ar = (2.97 m/s²)(97.5 m) = 289.58 m²/s²

v = √(289.58 m²/s²) = 17.01 m/s

at = dv/dt

where at is the tangential acceleration, and v is the speed of the car. Since the car is starting from rest, its initial speed is zero, so we can simplify the formula to:

at = v/t

where t is the elapsed time.

We want to find the time at which the magnitude of the tangential acceleration is equal to the magnitude of the centripetal acceleration, so:

at = ac

v/t = ac

t = v/ac = 17.01 m/s / 2.97 m/s² = 5.73 s

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When the temperature of the combination hits 0°C, 20g of ice remains unmelted. The quantity of ice added to the water was approximately (Specific heat of water =4.2J/gC)

Specific heat of ice =2.1J/gC,

Heat of fusion of water at 0C=334J/g.

ΔT=Tfinal−Tinitial=40.6°C−173°C=−132.4°C

Thermal equilibrium is reached when two bodies come into thermal contact with each other, allowing heat transfer (i.e., the transfer of energy through heat) to occur. Thermal equilibrium cannot be achieved if two systems cannot freely exchange energy.

Thermal equilibrium happens after a length of time when the engine temperature equals the air temperature.

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A resistor is connected to a 9.0V battery with a 0.50A current flowing through it. Then the resistance is 18 Ω.

When a 9.0-volt battery is connected to a resistor, an electric field is created that pushes electrons through the resistor. The voltage of the battery represents the potential energy that each electron has when it enters the circuit, while the resistor creates a resistance that slows down the flow of electrons. According to Ohm's law, the current (I) through a resistor is directly proportional to the voltage (V) applied across it and inversely proportional to the resistance (R) of the resistor. The relationship can be expressed as:

I = V / R

In this case, the current is given as 0.50 A, and the voltage of the battery is 9.0 V.

= R

= V / I

= 9.0 V / 0.50 A

= 18 Ω

So the resistor in the circuit has a resistance of 18 ohms, and it is causing a current of 0.50 A to flow through it when the 9.0-volt battery is connected.

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Question - A 9. 0-v battery is connected to a resistor so that there is a 0. 50-a current through the resistor. Then the resistance is?

Answer:

The particles that make up the pan will speed up

Explanation:

B

HOPE IT HELPS LET ME KNOW IF U NEED EXPLANATION

Answer:

a.26

Explanation:

39 divide by 1.5=26

Answer

the medium does not change the speed of the on they should change.

Explanation:

The speed of the waves is constant for a given medium, depending on the physical properties of the medium,

When a wave is strapped on a wall of a medium it does not change the properties of the medium, the wave changes direction, but since the medium does not change the speed of the on they should change.

Answer:

when air or water cools it sinks

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.

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The skater's final angular velocity is approximately 9.86 rad/s.

The skater's final angular velocity can be calculated using the principle of conservation of angular momentum. The equation for angular momentum is given by:

L = Iω

where L is the angular momentum, I is the moment of inertia, and ω is the angular velocity.

Initially, the skater has an angular momentum of:

L_initial = I_initial * ω_initial

Substituting the given values:

L_initial = 2.12 kg m² * 3.25 rad/s

The skater's final angular momentum remains the same, as angular momentum is conserved:

L_final = L_initial

The final moment of inertia is given as 0.699 kg m². Therefore, the final angular velocity can be calculated as:

L_final = I_final * ω_final

0.699 kg m² * ω_final = 2.12 kg m² * 3.25 rad/s

Solving for ω_final:

ω_final = (2.12 kg m² * 3.25 rad/s) / 0.699 kg m²

Hence, the skater's final angular velocity is approximately 9.86 rad/s.

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The final velocity of the cannonball-cart system is less than the initial velocity of the cannonball and the system will move in the direction of the cannonball ( V < v_b ).

The law of conservation of linear momentum states that the sum of the initial momentum is equal to sum of the final momentum, provided that the system is Isolated.

Mathematically, the law of conservation of linear momentum is given as;

Pi = Pf

where;

m₁u₁ + m₂u₂ = v ( m₁ + m₂ )

where;

since the cart is initially at rest, the initial velocity of the cart = 0

m₁u₁ + 0 = v ( m₁ + m₂ )

m₁u₁ = v ( m₁ + m₂ )

v = ( m₁u₁ ) / ( m₁ + m₂ )

given initial velocity of the cannon ball = v_b

The final velocity of the cannonball-cart system is calculated as follows;

V = ( m₁v_b ) / ( m₁ + m₂ )

Hence, V < v_b

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Answer:

The car is considered to be speeding

Explanation:

The following data were obtained from the question:

Constant acceleration (a) = 7.4 m/s²

Time (t) = 2.4 s

Speed limit = 15.64 m/s

To know if the car speeding at any point, we shall determine the velocity of the car.

This can be obtained as follow:

Constant acceleration (a) = 7.4 m/s²

Time (t) = 2.4 s

Constant velocity (v) =?

a = v/t

7.4 = v / 2.4

Cross multiply

v = 7.4 × 2.4

v = 17.76 m/s

Thus, the velocity of the car is 17.76 m/s.

Comparing the velocity of the car (i.e 17.76 m/s) with the speed limit (i.e 15.64 m/s), we can see that the velocity of the car is higher than the speed limit. Therefore, the car is considered to be speeding.

Answer:

wd = F * D

wd = 100 * 5

wd = 500

The work done on the box is 500 Joules.

When an object is moved over a distance by an external force, at least a portion of which is applied in the direction of the displacement, it is said to have done "work" in physics. By multiplying the length of the path by the component of the force acting along the path, work can be calculated if the force is constant.

As work is a scalar quantity, it can be defined only by magnitude, it has no direction. SI unit of work is Joule and CGS unit of work is erg.

Given parameters:

Mass of the box: m = 4 kg.

Force applied on the box: F = 100 N.

Displacement of the box: d = 5 meters.

Hence, the work done on the box is = applied force × displacement

= 100 N × 5 meters

= 500 Joules.

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Answer:

a. 3 seconds

b. 0.33 Hz

Explanation:

a. Period is defined by how long, in seconds, it takes for an object to complete one revolution, or cycle. If the object completes 50 cycles in 150 seconds, then it must complete one cycle every 150/50 = 3 seconds. Therefore, the period of the object is \(\boxed{3\text{ seconds}}\).

b. Frequency is given by \(f=\frac{1}{T}\) where \(T\) is the period, in seconds. Since we just found that the period is 3 seconds, plug in \(T=3\):

\(f=\frac{1}{3}\approx \boxed{0.33\text{ Hz}}\)