Solve for unknown.14Y-2 = 2Y + 140

Answer:

40m/s

Explanation:

a=g

u=0

s=81

v²=u²+2as

v²=2(9.81)(81)

v=√1587.6=39.8446985181≈40m/s

The velocity of the roller coaster car each time it reaches the bottom is 40 ms⁻¹. The correct option is (A).

The rate at which the position of an object changes with respect to time is described by the physical quantity known as velocity. It has both magnitude and direction because it is a vector quantity.

Given:

Initial velocity, u = 0 m/s

Acceleration, a = -9.8 ms⁻²

Distance, d = 81 m

From the third equation of motion:

v² = u² - 2as

v² = 0 - 2×(-9.8)×81

v = 40 ms⁻¹

Hence, the velocity of the roller coaster car is 40 ms⁻¹. The correct option is (A).

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Answer:

im sure your already past this but it's E.

Explanation:

This is because in this case potential energy is linear to height, which means that the higher the more potential energy.

Answer:

96.7 s

Explanation:

Time of flight in projectile can be calculated thus:

T = 2 × u × sin ϴ/ g

Where;

T = time of flight (s)

u = initial velocity (m/s)

ϴ = Angle of projectile (°)

g = acceleration due to gravity (9.8m/s²)

Based on the provided information; u = 670m/s, ϴ = 45°

Hence, using T = 2.u.sin ϴ/ g

T = 2 × 670 × sin 45° ÷ 9.8

T = 1340 × 0.7071 ÷ 9.8

T = 947.52 ÷ 9.8

T = 96.68

T = 96.7s

The mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.

When anything is moving, its velocity tells us how rapidly that something's location is changing from a certain vantage point and as measured by a particular unit of time.

If a point moves along a path and covers a certain distance in a predetermined amount of time, its average speed over that period of time is equal to the distance covered divided by the travel time. A train traveling 100 kilometers in two hours, for instance, is doing it at an average speed of 50 km/h.

Given:

The mass of the cannonball, m = 5 kg,

The velocity of the cannon, v = 550 m/s,

The recoil speed of the cannon, vₐ = 1.3 m / s,

Then by using momentum conservation calculate the mass of the cannon,

\(m \times v = m_{a} \times v_{a}\)

Here mₐ is the mass of the cannon,

Substitute the values,

5 × 550 = mₐ × 1.3

mₐ = 2115.4 kg

Therefore, the mass of a cannon if a 5.0 kg cannonball is fired from a stationary cannon with a horizontal velocity of 550 m/s if the cannon recoil in the opposite direction with a speed of 1.3 m/s is 2115.4 kg.

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Answer:

Answer:B Or the second one

Explanation:

it all stayed consistant.

Answer:

Because these models do not take into account the impact of friction and air resistance and are helping to solidify the concept of energy conservation and that the total mechanical energy remains constant in that model

Explanation:

Im doing the same quiz 0v0

Answer:

(1/4)F

Explanation:

Let F be the force on charges q and q' separated by a distance, d

F = kqq'/d²

Now, if q and q' are doubled, our new charges are 2q and 2q' respectively and, if the distnace is increased by four times, then our new distance is 4d. So our new force F' = k (2q)(2q')/(4d)²

= 4kqq'/16d²

= kqq'/4d²

= F/4

So, the magnitude of our new force is F/4

Answer:

mass =25 kg

using clockwise moment = anticlockwise moment

the force the woman exerts to do a push-up at constant speed is 333 N.

the work the woman does is 152 J.

her useful power output is 76 W.

(a) To calculate the force the woman exerts to do a push-up, we need to use torque methods. The woman is doing a push-up at constant speed, which means that the net torque on her body is zero. The only torque acting on her body is due to her weight W, which acts at the center of mass of her body. The distance between her center of mass and her hands is 0.76 m, and the angle between her body and the horizontal is 45 degrees.

The torque due to her weight about her hands is given by:

τ = r x W = (0.76 m) x (cos 45°)(W)

where r is the distance between her hands and her center of mass and cos 45° is the component of the distance perpendicular to the weight vector. Since the woman is at constant speed, the torque she exerts about her hands must be equal and opposite to the torque due to her weight. Therefore:

τ = (0.76 m)(cos 45°)(W) = (1/2)(W)(0.76 m)

Solving for W, we get:

W = 2(τ/0.76 m) = 2[(0.5)(mg)(0.76 m)/(0.76 m cos 45°)] = 333 N

Therefore, the force the woman exerts to do a push-up at constant speed is 333 N.

(b) The work the woman does is equal to the change in her potential energy as her center of mass rises. The woman's mass is not given, so we will assume a value of 60 kg. The gravitational potential energy of the woman is given by:

U = mgh

where m is the mass of the woman, g is the acceleration due to gravity (9.81 m/s^2), and h is the height her center of mass rises (0.26 m). Therefore:

U = (60 kg)(9.81 m/s^2)(0.26 m) = 152 J

Therefore, the work the woman does is 152 J.

(c) The useful power output of the woman is the work she does per unit time, taking into account the work done in lowering her body. Each push-up involves two phases: lifting her body and lowering her body. When she lowers her body, the work done is negative, as the force she exerts is in the opposite direction to the displacement. The work done in lowering her body is equal to the work done in lifting her body, so the total work done in one push-up is zero.

The woman does 30 push-ups in 1 minute, which means she does one push-up every 2 seconds. Therefore, the useful power output of the woman is:

P = (152 J)/(2 s) = 76 W

Therefore, her useful power output is 76 W.

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Given a graph of the period versus the mass.

From the graph, the plot of the period versus mass is almost a horizontal line. That is as the mass of the pendulum increases, its period remains constant. The period of the pendulum is unaffected by the change in the mass. Thus the period of the pendulum does not depend on its mass.

This is also consistent with the formula of the period which is,

Where L is the length of the pendulum and g is the acceleration due to gravity.

As seen from the formula the period of the pendulum does not depend on the mass of the pendulum.

Therefore the period of the pendulum does not depend on its mass, this is conclusive from the given data.

The rate at which the temperature of the chili is decreasing is given by

c(t)=\(22e^{-0.05t^{2} }\) is 77.267⁰ F.

The rate of change of temperature, also known as the temperature gradient, is a measure of how quickly the temperature of a system is changing at a given point in space and time. It is typically measured in units of degrees Celsius per second or degrees Fahrenheit per second. The temperature gradient is a vector quantity, with the direction of the gradient pointing in the direction of the greatest temperature change. The magnitude of the gradient is a measure of how quickly the temperature is changing in that direction. The rate of change of temperature can be positive, negative, or zero. A positive rate of change of temperature means that the temperature is increasing, a negative rate of change of temperature means that the temperature is decreasing

Rate of change of temperature over 0 \(\leq\) t \(\leq\) 5.

\(\int\limits^5_0 {c(t)} \, dt = 22\int\limits^5_0 {e^{0.05t^{2} } } \, dt\)

using numerical integration we get value of

\(\int\limits^5_0 {e^{0.05t^{2} } } \, dt=3.51211\\\int\limits^5_0 {c(t)} \, dt= 22* 3.51211=77.26657= 77.267^{0} F\)

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Answer:

C) 300 Ohm.

Explanation:

In a series circuit, total resistance is just adding all the resistance together. So R (total) = 75 +75 +75+ 75 = 300 ohms

Parallel circuit are different because you add the inverses of resistance and you flip the final answer.

You can confirm your answers using the tools below:

https://www.omnicalculator.com/physics/series-resistor

https://www.omnicalculator.com/physics/parallel-resistor

Tension in the left cable is 4395.9 N.

Tension is defined as a pulling force that acts along the length of a flexible medium like rope or cables.

Here,

The total mass of the riders is given, m = 330 kg

Let the tension in the left cable be T₁ and that in the right cable be T₂.

From the figure,

T₁ cos 15 = T₂ cos 26

T₁ = T₂ cos 26/cos 15

Also,

T₁ sin15 + T₂ sin 26 = mg

Substituting values,

(T₂ cos 26/cos 15) sin 15 + T₂ sin 26 = 330x 9.8

0.241 T₂ + 0.438 T₂ = 3234

0.679 T₂ = 3234

T₂ = 4762.8 N

Therefore, Tension in the left cable, T₁ = 0.930x 4762.8

         T₁ = 4395.9 N

Hence, The tension in the left cable is 4395.9 N

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Your question was incomplete. Attaching the image here.

The reference point that should be used to describe Melanie motion is the pond (option C).

Reference point is a particular point in space which is used as an endpoint to measure a distance from or chart a map from.

According to this question, Melanie gets out of her car at the park and walks 25 m to the trail entrance. She jogs around the trail until she reaches a pond, where she stops briefly.

However, she then continues to follow the trail around the pond. This suggests that the pond should serve as the reference point for Melanie's motion.

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Answer:

STATES OF MATTER The three important states of the matter are (i) Solid state (ii) Liquid state (iii) Gaseous state, which can exist together at a particular temperature and pressure e.g. water has three states in equilibrium at 4.58 mm and 0.0098ºC.

Explanation:

Answer: High tides and low tides are caused by the Moon. The Moon's gravitational pull generates something called the tidal force. The tidal force causes Earth—and its water—to bulge out on the side closest to the Moon and the side farthest from the Moon. These bulges of water are high tides.

Explanation:

Answer:

2.82 x 10⁷J

Explanation:

Given parameters:

Power rating of the motor = 1.5hp

Time taken  = 7hrs

Unknown:

Amount of electrical energy consumed  = ?

Solution:

To solve this problem, we need to convert first to standard unit.

              1 hp  =  746 Watts

               1.5hp  =   746 x 1.5  = 1119Watts

Also;

        7hrs to Seconds;

            1 hr  = 3600s

            7hr = 7 x 3600 = 25200s

So;

  Electrical energy = Power x time  = 1119 x 25200 = 2.82 x 10⁷J

Answer:

Sorry I can't understand you

The required electric field strengths are calculated to be E₁ = E₃ = 112.88 × 10³ N/C, E₂ = 0.

Length of the two glass rods is given as, L = 17 cm = 0.17 m

Charge on them = 16 nc = 16 × 10⁻⁹ C

Distance between the rods is given as 4 cm = 0.04 m.

Electric charge due to a single glass rod can be given by,

E = Q/ (2π ε₀ r L) ----(1)

(1) can be used to determine E₁, E₂, E₃ because the points lie within the two rods hence the net electric field produced will be equal to the difference in electric fields produced.

E₁ = Q/ (2π ε₀ r L) × [1/0.01 - 1/0.03]

⇒ (16 × 10⁻⁹)/(2× 3.14× 8.85 × 10⁻¹² × 0.17) × (66.67)

⇒  (16× 66.67 × 10³)/(9.45) = 112.88 × 10³ N/C

Let us find E₂,

E₂ = Q/ (2π ε₀ r L) × [1/0.02 - 1/0.02] = 0

And E₁ = E₃.

Thus, E₁ = E₃ = 112.88 × 10³ N/C, E₂ = 0.

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Answer:

Explanation:

Sure, I'd be happy to help you with the question!

Let's denote the input as x. According to the function machine, the input is multiplied by 6 and then 80 is subtracted from the result to obtain the output.

So, the function can be written as:

Output = (6 * x) - 80

Now, the problem states that the input is the same as the output. Therefore, we can set up the equation:

x = (6 * x) - 80

Let's solve this equation to find the value of x:

x = 6x - 80

Subtracting 6x from both sides, we get:

x - 6x = -80

Combining like terms, we have:

-5x = -80

Dividing both sides by -5, we find:

x = (-80) / (-5)

Simplifying the expression, we have:

x = 16

Therefore, the input (x) that results in the input being the same as the output is 16.

To work out these types of questions, it's important to carefully read the instructions and understand the operations being performed in the function machine. Then, you can set up an equation with the input and output, and solve for the unknown value. Always double-check your solution to ensure it satisfies the given conditions of the problem.

Answer:

16

Explanation:

(x*6) - 80 = x

Multiply the parentheses

6x - 80 = x
Add 80 to each side to get
6x = x + 80
Subtract x from both sides to get
5x = 80
Divide both sides by 5
x = 16

Answer:

0.025 m

Explanation:

From the question,

Applying Hook's law

F = ke................... Equation 1

Where F = Force, k = spring constant of the scale, e = maximum distance at which the spring will compress.

make e the subject of the equation

e = F/k....................... Equation 2

Given: F = 10 N, e = 395 N/m

Substitute these values into equation 2

e = 10/395

e = 0.025 m

Answer:

Explanation: because Keller concluded that the circular obits of the Copernican model weren't correct paths of planets were elleptical

The amount of work done on the toboggan by the tension force of 105 N with a rope directed 32° above the snow is 3.12 KJ

W = F d cos θ

W = Work done

F = Force

d = Distance

θ = Angle between force and displacement vector

d = 35 m

F = 105 N

θ = 32°

W = 105 * 35 * cos 35°

W = 105 * 35 * 0.85

W = 3123.75 N m

W = 3.12 KJ

Work done is energy transferred to make an object move to a distance. Its unit is Joules which is denoted as J. It is the amount of work done by a force of 1 Newton to move a distance of 1 meter.

Therefore, the amount of work done on the toboggan by the tension force is 3.12 KJ

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Answer:

Both A and C

Explanation:

The current is induced when the magnet is moving in and out of the coil or when the coil is moving back and forth. In this case, the magnet is moving in and out during steps A and C, so there is current in those steps.

Answer:

3 m/s

Explanation:

A= F/m

12,000/ 4000 = 3

Answer:

3 m/s^2

Explanation:

The equation you have to use is F=ma because the problem is a Newton's 2nd law problem.

Our known values are:

F ( Force ) = 12,000 N

m ( mass ) = 4,000 kg

a ( acceleration ) = ?

Now we plug in the known values into the equation and solve

F=ma

12,000=4,000a

We have to divide 4,000 by both sides to isolate the a value

12,000/4,000=4,000/4,000a

The 4,000s on the right of the equation cancel.

And 12,000 divided by 4,000 equals 3

The acceleration (a) is 3 meters per second squared (m/s^2)

Next, check to make sure 3 does work by plugging it back into the equation.

12,000=4,000*3

12,000=12,000 ✔

As you can see, the acceleration will be 3 m/s^2

The amount of force that must have been applied is 100 N.

option D is the correct answer.

The amount of force applied to overcome the load is calculated by applying the formula for work done as shown below.

Mathematically, the formula for work done is given as;

W = Fd

where;

If the distance moved by the effort arm is 10 meters, the amount of effort or force applied to overcome the load is calculated as follows;

F = W / d

F = ( 400 J ) / 4 m

F = 100 N

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Answer:

\(\boxed {\boxed {\sf 100,000 \ Joules}}\)

Explanation:

Kinetic energy is energy due to motion. The formula is half the product of mass and velocity squared.

\(E_k= \frac{1}{2} mv^2\)

The mass of the roller coaster car is 2000 kilograms and the car is moving 10 meters per second.

Substitute these values into the formula.

\(E_k= \frac{1}{2} (2000 \ kg ) \times (10 \ m/s)^2\)

Solve the exponent.

\(E_k= \frac{1}{2} (2000 \ kg ) \times (100 \ m^2/s^2)\)

Multiply the first two numbers together.

\(E_k= 1000 \ kg \times (100 \ m^2/s^2)\)

Multiply again.

\(E_k= 100,000 \ kg*m^2/s^2\)

\(E_k= 100,000 \ J\)

The roller coaster car has 100,000 Joules of kinetic energy.