To start a car engine, the car battery moves 3.47 ✕ 10^21 electrons through the starter motor. How many coulombs of charge were moved?

The linear equation f(x) for the function is found as :

f(x) = -57x  + 16.5.

For the stated question:

f(0.1) = 10.5, and f(0.4) = −6.6

Slope m = (-6.6 - 10.5) / (0.4 - 0.1)

m = -57

The standard equation is:

10.5  = -57(0.1) + c

c = 16.5

linear equation f(x):

f(x) = -57x  + 16.5

Thus, the linear equation f(x) for the function is found as :

f(x) = -57x  + 16.5.

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According to Newton's second law of motion, 12.8 N is the average force of the Puck

It states that, the rate of change of momentum is directly to the force applied. That is,

F = m(v - u)/t

Given that a 0.16 k/g hockey puck is moving on an icy Horizontal service with the speed of 5 m/s player strikes the Puck by hockey stick after the impact the Puck moves in opposite direction with the speed of 9 m/s of the Puck was the in contact with the stick for 0 points 0.05 s

The average force of the Puck by the stick can be calculated by using the formula above.

Where

Substitute all the parameters

F = 0.16(9 - 5)/0.05

F = 0.16(4)/0.05

F = 0.64/0.05

F = 12.8 N

Therefore, the average force of the Puck by the stick is 12.8 N

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Answer:

α = 6.43° (Angle respect to the horizontal axis-x)

Explanation:

To solve this problem we must use Newton's second law which tells us that the sum of forces must be equal to the product of mass by acceleration.

Since we have two forces and we know their magnitudes and their directions, we can sum these into their X & y components, in this way we can find the resulting force and apply it in Newton's second law.

F1x = 11.8*cos(53.7) = 6.98 [N]

F1y = 11.8*sin(53.7) = 9.5 [N]

Now with the second force:

F2x = 22.9*cos (15.8) = 22.03 [N]

F2y = - 22.9*sin (15.8) = - 6.23 [N]

Now we sum the forces in the x and y axes:

Fx = F1x + F2x = 6.98 + 22.03 = 29.01 [N]

Fy = F1y + F2y = 9.5 -  6.23 = 3.27 [N]

Now using the Pythagorean theorem we can find the resulting force.

F = √(Fx² + Fy²)

F = √ (29.01)² + (3.27)²

F = 29.19 [N]

Using Newton's second law, we have:

F = m*a

where:

F = force = 29.19 [N]

m = mass = 15.5 [kg]

a = acceleration [m/s²]

a = 29.19/15.5

a = 1.88 [m/s²]

The direction of the acceleration is the same direction of the force, therefore we need to find the angle.

tan(α) = Fy/Fx

tan(α) = 3.27/29.01

α = tan⁻¹(0.1127)

α = 6.43° (Angle respect to the horizontal axis-x)

The advantage that the runner nearest the gun in the 100-meter dash might have is known as  the "reaction time advantage."

A reaction time advantage is known to allow runners in a race  to be agile and efficient when it comes to responding to stimuli in situations like driving, playing sports, or even having a conversation.

It is believed that the runner closest to the gun has a shorter distance for the sound wave to travel which might result in a slightly quicker reaction time in comparison to the other runners.

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Answer:

1.07 m/s east

Explanation:

given: Displacement (D)

          Time(t)

Unkown: Velocity(v)

therefore  : v=D/t

                 v=45/42

                  v=1.07m/s east end of pool

Answer:

Focal length (f) = 1/2 (Object distance + Image distance)

f = 1/2 (12.2 cm + 25.0 cm)

f = 18.6 cm

The final velocity of object 2 is: 3 m/sec

According to the rule of conservation of mass, no atoms are created or destroyed during a chemical process. Instead, the atoms combine in a variety of ways to create goods. This explains why each element has the equal amount of atoms on both sides of an equation with balanced symbols.

According to conservation of mass,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Given that,

m₁ = 50 kg

m₂ = 75 kg

u₁ = 4 m/s

u₂ = -1 m/s

v₁ = -2 m/s

v₂ = ?

Now, putting the values,

m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

(50 × 4) + [75 × (-1)] = [50 × (-2)] + (75 × v₂)

or, 125 = -100 + 75 v₂

or, 75 v₂ = 225

or, v₂ = 3 m/sec.

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The magnitude of the displacement vector refers to the length or amount of the displacement vector. Displacement is the change in position of an object. Displacement is a vector quantity, which means it has both magnitude and direction. In this question, a figure skater is gliding along a circular path of radius 3.93 m.

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Answer:

D. Conclusion.

Explanation:

ANSWER

True

EXPLANATION

A linear accelerator is a particle accelerator that accelerates particles by subjecting them to electric potentials - oscillating electric potentials. If the particles where not charged, these potentials would do nothing to them. Therefore, a linear accelerator only can accelerate subatomic charged particles.

the frequency of the piano key is 476 Hz.

Frequency describes the number of waves that pass a fixed place in a given amount of time. In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

Given, When a 480 Hz. tuning fork and a piano key being struck together, four beats per second are heard.

The frequency of the tuning fork, Nf = 480 Hz

Beats heard at this frequency, x = 4 beats/second

When a 470 Hz. tuning fork and a piano key being struck together, four beats per second are heard.

The equation for the Frequency of the piano,

Np = Nf - x

Np = 480 - 4

Np = 476 Hz

When tension has increased the frequency also increased. As the number of beats decreased, the frequency of the string must be less than 480 Hz.

Therefore, the frequency of the piano key is 476 Hz.

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The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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Answer:

protons: 6

electrons: 6

neutrons: 8

Explanation:

atomic number -> number of protons -> 6

mass number -> number of protons + number of neutrons

    so 14-6 = 8. 8 neutrons

this atom is neutral (net charge is 0), so the number of electrons is the same as the number of protons, which is 6

Answer:

a= v/t

a = 4/2

a = 2 m/s^2

And F = M a

F = 10 × 2

F = 20 N

Answer:

4.4 x 10^-12 N right

Explanation:

Answer:

The work done by the radial force will always be 0 J

Explanation:

The formula for work done by a force on an object is given as follows:

W = F d Cos θ

where,

W = Work Done

F = Force Applied

d = Displacement

θ = Angle Between Force and Displacement

Now, in this case the force is directed radially towards the center of the circle. And the direction of motion or displacement of the body during circular motion is always tangent to the circle.

Hence, the force and displacement will always be perpendicular to each other during this circular motion. (θ = 90°)

Therefore,

W = F d Cos 90°

W = F d (0)

W = 0 J

Therefore, the work done by the radial force will always be 0 J

Answer:

a) y = 127.6 m, b) 11.9s,  c)  v = 103.6  m / s, θ’= 326.7º

Explanation:

This is a missile throwing exercise

let's start by breaking down the initial velocity

         sin 30 = \(\frac{v_{oy} }{v_o}\)

         cos 30 = v₀ₓ / v₀

         v_{oy} = v₀ go sin 30

         v₀ₓ = v₀ cos 30

         v_{oy} = 100 sin 30 = 50 m / s

         v₀ₓ = 100 cos 30 = 86.6 m / s

a) the maximum height is requested.

At this point the vertical velocity is zero (v_y = 0)

         v_y² = \(v_{oy}^2\) - 2 g y

         0 = v_{oy}^2 - 2g y

         y = \(\frac{v_{oy}^2 }{2g}\)

         y = 50² / (2  9.8)

         y = 127.6 m

b) Flight time

this is the time it takes to reach the ground, the reference system for this movement is taken on the ground this is a height of y = 0 m and the body is at an initial height of i = 100m

         y = y₀ + v₀ t - ½ g t²

       0 = 100 + 50 t - ½ 9.8 t²

we solve the quadratic equation

        4.9 t² - 50 t - 100 = 0

         t = \(\frac{50 \pm \sqrt{50^2 + 4 \ 4.9 \ 100} }{2 \ 4.9}\)

         t = \(\frac{50 \ \pm \ 66.8}{9.8}\)

         t₁ = 11.9 s

         t₂ = -8.4 s

flight time is 11.9s

c) The time 1 s before hitting the ground is

        t1 = 11.9 -1

        t1 = 10.9 s

let's find the vertical speed

       v_y =\(v_{oy}\) - g t

       v_y = 50 - 9.8 10.9

       v_y = -56.8 m / s

the negative sign indicates that the direction of the velocity is downward.

On the x-axis there is no acceleration therefore the speed is constant.

Let's use the Pythagorean theorem

        v = \(\sqrt{v_x^2+v_y^2}\)

        v = \(\sqrt { 86.6^2 + 56.8^2}\)

        v = 103.6  m / s

let's use trigonometry

        tan θ = \(\frac{v_y}{v_x}\)

        θ = tan⁻¹  \frac{v_y}{v_x}

        θ = tan⁻¹  (-56.8 / 86.60)

        θ = -33.3º

the negative sign indicates that it is measured clockwise from the x-axis

for a counterclockwise measurement

          θ’= 360 - θ

          θ' = 360 - 33.3

          θ’= 326.7º

B. The equivalent resistance of the two resistors is 20.0 ohms.

C. The voltmeter will measure the voltage across the 30.0 ohm resistor.

D. The 30.0 ohm resistor will stop working.

B. The total resistance of the circuit is 60.0 ohms. This is because the 30.0 ohm resistor and the 60.0 ohm resistor are in parallel, and the equivalent resistance of two resistors in parallel is equal to the product of the resistors divided by the sum of the resistors.

R_T = 1/(1/R_1 + 1/R_2 + ...)

In this case, the product of the resistors is:

30.0 ohms × 60.0 ohms = 1800 ohms,

and the sum of the resistors is:

30.0 ohms + 60.0 ohms = 90.0 ohms.

Therefore, the equivalent resistance of the two resistors is 1800 ohms / 90.0 ohms = 20.0 ohms.

C. Meter 1 is an ammeter, and it is connected in series with the 30.0 ohm resistor. This means that the ammeter will measure the current flowing through the 30.0 ohm resistor.

Meter 2 is a voltmeter, and it is connected in parallel with the 30.0 ohm resistor. This means that the voltmeter will measure the voltage across the 30.0 ohm resistor.

D. When the switch is opened, the 30.0 ohm resistor will stop working. This is because the switch is in series with the 30.0 ohm resistor, and when the switch is opened, the circuit is broken.

The 60.0 ohm resistor will continue to work, because it is in parallel with the switch, and the current will continue to flow through the 60.0 ohm resistor even when the switch is opened.

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Answer:

equator

Explanation:

in south & north pole you could have 20+ hours daylight or night, everyday!

Explanation:

You want  N/m

 N = 66 * 9.81

 m = 2.3 x 10^-2 m

66* 9.81 / 2.3 x 10^-2  = 28150 =  28 000 N/m    to two S D

Answer:

Just gonna take this at free points and yes you are right but I am confused on what you wanted us to do

Answer:

the max is 2,500 or less

Explanation:

because you cant owe anymore

Answer:

based on my research i found that it was newtons law # 1

Explanation:

Answer: newton's 2nd law revolves around mass {credits to Britannica} A lesson proving immovable objects and unstoppable forces are one and the same. Newton's second law is a quantitative description of the changes that a force can produce on the motion of a body.

Accuracy refers to how close a measurement is to the true or accepted value. Precision refers to how close measurements of the same item are to each other.

Precision and accuracy are two indices of observational error. Precision is how near a collection of measurements is to its true value, whereas accuracy is how close the measurements are to one other. Precision, in other terms, is a description of random errors and a measure of statistical variability.

If you weigh a body weighing 20 kg and obtain 17.4,17,17.3, and 17.1, your weighing scale is exact but not particularly accurate. If your scale returns values of 19.8, 20.5, 21.0, and 19.6, it is more accurate but not particularly precise.

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Answer and Explanation:

A.

There would be a net force of 50 N going to the right.

Since both forces are going right, they add onto the force amount.

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