6. Figure 6 shows the top view of a child of mass m with initial
speed v0 and stepping onto end B of the plank. The plank has length
L and mass M that is perpendicular to the child’s path as shown.

The total distance that the springs in parallel are compressed is 5 cm.

Given information,

mass, m = 5kg,

The total distance that springs compressed, x = 10 cm

where x = x₁ + x₂,

the force exerted by the spring is given as

F = -k.x

The force exerted  by spring at series is,

Fs = - Ks(x₁ + x₂)

and,

F₁ = -K₁x₁

F₂ = -K₂x₂

Fs = F₁ = F₂,

equating values,

- Ks(x₁ + x₂) = -K₁x₁

since, x₁ = x₂ and K₁ = K₂,

Ks = K₁/2

Ks = 0.5K₁

Fs = - 0.5×K(x₁ + x₂)

The force exerted  by spring at parallel is,

Fp = F₁ +  F₂

Fp = -K₁x₁ + (-K₂x₂)

Fp  = -2K₁x₁

Equating,

Fs = Fp

- 0.5×K₁×10 = -2K₁x₁

x₁ = 2.5 cm

The total distance is,

2.5 + 2.5 = 5 cm

Hence, The springs in parallel are compressed by a total distance of 5 cm.

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The answer is 0.47 m, which is closest to the option (A) 0.71 m.

First we can use trigonometry. The height of the end of the treadmill raised is the opposite side of the right triangle, and the length of the treadmill is the hypotenuse.

The angle of inclination is the angle between the height and the hypotenuse, so we can use the sine function to find the height:

sin(17°) = opposite/hypotenuse

The length of the treadmill is 1.75 m, so:

opposite = sin(17°) x 1.75 m

opposite = 0.472 m

Therefore, the height of the end of the treadmill raised is approximately 0.47 m.

So the answer is 0.47 m, which is closest to the option (a) 0.71 m.

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The map of the world temperature zones gives;

23. Zone A = The North Frigid zone

Zone B = The North Temperate zone

Zone C = The Torrid

Zone D = The South Temperate zone

Zone E = The South Frigid zone

24. Zone C, the Torrid zone

25. Zone C, the Torrid zone

26. The Torrid zone

23. The five temperature zones of the world based on the annual temperatures are;

The north frigid zone

The north temperate zone

The torrid zone (tropics)

The south temperate zone

The south frigid zone

Each of the five zones shown on the map are;

Zone A = The North Frigid zone

Zone B = The North Temperate zone

Zone C = The Torrid zone Tropics

Zone D = The South Temperate zone

Zone E = The South Frigid zone

24. The name of the temperature zone that includes the equator is; Zone C, the Torrid zone (The tropics).

The Equator is located around the horizontal line that runs around the center of the Earth at 0 ° latitude.

25. The zone that has the greatest amount of human habitable land mass is; Zone C, the Torrid zone, which covers 40% of the geographic surface of the Earth.

26. The zone that has the highest temperature all year round is the zone farthest from the north and south Frigid zone which is the Torrid zone

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Answer:

Explanation:

The force needed to accelerate the trick rider and the pink flaming motorcycle is 1500 N.

Force is the product of mass and acceleration.

To calculate the force needed to accelerate the trick rider and the pink flaming motorcycle, we use the formula below

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

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The power generated by solar panel will be "2.7 W".

According to the question,

The values are:

Output of solar panel,

Current,

The electrical power generated will be:

→ \(P = VI\)

By substituting the given values is the above formula, we get

→     \(= 10\times 0.27\)

→     \(=2.7 \ W\)

Thus the above answer is right.

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This is due to the fact that occluded fronts combine two cold air masses, which causes one of the cold air masses to go downward.

When a warm air mass is sandwiched between two cold air masses, an occluded front occurs. In an occlusion, the warm front passes over the cold front, which dives beneath it.

In a front is obscured, the warm front is fully supplanted by the cold front, in which the warm air masses have completely disappeared. Furthermore, there are frequent shifts in the various weather producing circumstances because of the cold front's relatively low temperature.

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In the metal junction box, insert the dowel rod and skewer so that the skewer is pointing up within the copper pipe.

A steam engine is a heat engine that uses steam as its working fluid to carry out mechanical work. The steam engine moves a piston back and forth inside a cylinder using the force created by the pressure of the steam. A connecting rod and crank can convert this pushing force into a rotational force for work.

Technological devices have changed how people live. Nowadays, steam is used to propel ships and turn massive turbines that produce electricity for billions of people worldwide.

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By neglecting the buoyant force and using the given information, we estimate the damping constant (b) for this mass-spring system to be approximately 0.066 kg/s.

To estimate the damping constant (b) for a mass-spring system, we can use the following steps:

1. Calculate the angular frequency (ω) of the system using the spring constant (k) and mass (m):
ω = sqrt(k/m)

2. Determine the decay constant (α) using the initial amplitude (A0) and final amplitude (A) after time (t):
α = (1/t) * ln(A0/A)

3. Calculate the damping constant (b) using the angular frequency (ω) and decay constant (α):
b = 2 * m * α

Let's apply these steps to your problem:

1. Convert mass to kg: m = 75 g = 0.075 kg
ω = sqrt(115 N/m / 0.075 kg) ≈ 39.1 rad/s

2. Calculate decay constant (α):
α = (1/3.5 s) * ln(5.0 cm / 2.0 cm) ≈ 0.44 s^(-1)

3. Estimate the damping constant (b):
b = 2 * 0.075 kg * 0.44 s^(-1) ≈ 0.066 kg/s

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We can use the formula of the capacitance

where C is the capacitance, Q is the charge and V is the voltage.

In our case

Q=480 C

V= 110 V

The value of the capacitor is 4.36 F

ANSWER B) 4.36F

Acceleration is a derived unit because it is derived from two quantities : Velocity and time.

We know, acceleration = Change in velocity/Time

The skater does indeed reach the same height on either side of the track With friction turned on.

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The formula for calculating density is expressed as

Density = mass/volume

From the information given,

mass of empty pycnometer = 10.2

mass of the same pycnometer with an unknown liquid is 21.8.

Mass of unkown liquid = 21.8 - 10.2 = 11.6

volume of unknown liquid = 7

Thus,

Density = 11.6/7

Density = 1.7 g/ml

Answer:

668 000 kJ

Explanation:

2000 kg = 2000 000 gm

2000000 gm * 334 J/g  = 668 000 000 J   = 668 000 kJ

As the voltage applied to a crcuit increases, the power dissipated by the circuit, and the current flowing through the circuit, both also increase.

Answer:

voltage

Explanation:

Answer:

A force applied to an object is equal to its mass times acceleration (F=ma)

Explanation:

Answer: The force can be calculated by simply multiplying mass by acceleration

Explanation:

This created the equation F=MA

Answer

Remember that the net force on you determines how your motion changes.  The strength of the gravitational force between two objects depends on two factors, mass and distance. The Mass of the Objects The more mass two objects have, the greater. the force of gravity the masses exert on each other.

Explanation:

try to look it up on google

I know. I know everything

One astronomical unit (AU) is defined as the average distance between the Earth and the Sun, which is approximately 149.6 million kilometers. Therefore, to convert AU to kilometers, we can multiply the distance by 149.6 million.

The closest Venus comes to Earth is 0.28 AU, which is equal to 0.28 x 149.6 million = 41.888 million kilometers.

The closest Mars comes to Earth is 0.37 AU, which is equal to 0.37 x 149.6 million = 55.352 million kilometers.

Therefore, Venus comes about 13.464 million kilometers closer to Earth than Mars does.

Given :

Vector A has a magnitude of 63 units and points west, while vector B has the same magnitude and points due south.

To Find :

The magnitude and direction of

a) A + B .

b) A - B.

Solution :

Let , direction in north is given by +j and east is given by +i .

So , \(A=-63i\) and \(B=63j\)

Now , A + B is given by :

\(A+B=-63i+63j\)

\(| A+B | = 63\sqrt{2}\)

Direction of A+B is 45° north of west .

Also , for A-B :

\(A-B=-63i-63j\)

\(|A-B|=63\sqrt{2}\)

Direction of A-B is 45° south of west .

( When two vector of same magnitude which are perpendicular to each other are added or subtracted the resultant is always 45° from each of them)

Hence , this is the required solution .

there is nothing there

Answer:

0.7m/s

Explanation:

According to the conservation of linear momentum, the moment before a collision is equal to the moment after the collision. The equation is written as follows: \(m_{a}u_{a} + m_{b}u_{b} = m_{a}v_{a} + m_{b}v_{b}\), where \(m\) is the mass of the object, \(u\) is the initial velocity, and \(v\) is the final velocity.

Let's say the object \(a\) is our moving wagon and the object \(b\) is our stationary wagon. \(m_{a} = 500kg, u_{a} = 1.6ms^{-1}\),  \(m_{b} = 3000kg, u_{b} = 0\), since the wagon is stationary, it doesn't have any initial velocity. After collision, the mass remains the same, but the velocity changes: \(v_{a} = ?, v_{b} = 1.5ms^{-1}\)

We can observe that \(v_{a}\) is what we're looking for according to the question. Now let's substitute our values.

\((5000 * 1.6) + (0) = 5000v_{a} + (3000 * 1.5)\)

\(v_{a} = \frac{(5000 * 1.6) - (3000*1.5)}{5000}\) = 0.7m/s

Wanda can reply to her friend by saying that she is using a telephoto lens for their photography outing.

A telephoto lens is a type of camera lens that is designed to capture distant subjects by using a longer focal length than a standard lens. Telephoto lenses typically have a focal length of 60mm or longer, which allows them to see and record a very narrow view. This makes them ideal for capturing subjects that are far away, such as wildlife, sports events, and landscapes. Telephoto lenses are also popular for portrait photography because they can create a shallow depth of field, which helps to isolate the subject from the background.

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The value of Vgs required to obtain Rds = 200Ω in an NMOS transistor operated in the triode region with small Vds is approximately 0.9V.

To calculate the required Vgs, we can use the equation that relates Rds to the transistor parameters. In this case, we assume the electron mobility (μn), oxide capacitance per unit area (Cox), and the width-to-length ratio (W/L) of the transistor to be constant.

By rearranging the equation and substituting the given values, we find that Vgs - Vt is inversely proportional to Rds. Since we know the initial value of Vgs (1.5V) and Rds (1kΩ), we can calculate the new value of Vgs using the proportionality.

By solving the equation, we find that Vgs ≈ 0.9V is required to achieve Rds = 200Ω in the given NMOS transistor.

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To find the number of turns per meter of length of the solenoid, we can use the formula for the magnetic field inside a solenoid

Formula of magnetic field inside a solenoid B = μ₀ * n * I

where B is the magnetic field strength, μ₀ is the permeability of free space (4π × 10^-7 T·m/A), n is the number of turns per unit length, and I is the current.

Rearranging the formula, we have:

n = B / (μ₀ * I)

Plugging in the given values, we get:

n = 9.0 T / (4π × 10^-7 T·m/A * 2.5 × 10^2 A)

n = 9.0 T / (1.26 × 10^-4 T·m/A)

n ≈ 7.14 × 10^4 turns/m

Therefore, the number of turns per meter of length of the solenoid is approximately 7.14 × 10^4 turns/m.

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The acceleration of the 3.04 kg block is approximately 1.825 m/s².

To calculate the acceleration of the 3.04 kg block, we need to apply Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.

Given:

Mass of the 3.04 kg block (m3) = 3.04 kg

Mass of the 1.7 kg block (m1) = 1.7 kg

Mass of the 2.43 kg block (m2) = 2.43 kg

Let's assume that the 1.7 kg block is hanging vertically and the 2.43 kg block is on the other side connected to the 3.04 kg block.

The net force acting on the system is the difference between the weight of the 3.04 kg block and the weight of the 1.7 kg block. The weight of an object is given by the formula: weight = mass × gravitational acceleration (g).

Net force = (m3 × g) - (m1 × g)

Net force = (3.04 kg × 9.8 m/s²) - (1.7 kg × 9.8 m/s²)

Net force = 29.792 N - 16.686 N

Net force = 13.106 N

Now, we can calculate the acceleration using the formula: acceleration = net force / total mass.

Total mass = m1 + m2 + m3 = 1.7 kg + 2.43 kg + 3.04 kg = 7.17 kg

Acceleration = 13.106 N / 7.17 kg

Acceleration ≈ 1.825 m/s²

Therefore, the acceleration of the 3.04 kg block is approximately 1.825 m/s².

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Answer:

I think it would be c, crashing into another car

Answer:

talking and we can make our own sound

Explanation:

Sound could be an element for detecting people or entities, This is very useful for blind people. Sounds could also heal your chakra or make you feel like dancing.

Hope I helped. :)

- Valenteer

Answer:

100 J

Explanation:

\(kinetic \: energy \: = \frac{1}{2} \times 50 \times {2}^{2} \)

= 100 joules