A charge of 100 elementary charges is equivalent to (1) 1. 60 times 10^-21 C (2) 1. 60 times 10^-17 C (3) 6. 25 times 10^16 C (4) 6. 25 times 10^20 C

The AMA (mechanical advantage) of a wedge is given by the ratio of the length of the sloping side of the wedge to its width. If the AMA of the wedge is 4, it means that the length of the sloping side of the wedge is four times its width.

The force exerted on the wedge depends on the load being lifted and the angle of the wedge; as the load increases, the force required to lift it also increases. However, the AMA of the wedge allows for the same load to be lifted with less force.

Force = Load / AMA

Hence, if the AMA of the wedge is 4, it means that the length of the sloping side of the wedge is four times its width.

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Answer:

well,,,,, it detecs smok and the smoke its a trigger

Explanation:

Based on the information provided by the astronomer, a reasonable hypothesis regarding the atmosphere of Planet X is that it has a higher concentration of greenhouse gases than Earth's atmosphere.

option D.

The astronomer's observation that Planet X has a very dense atmosphere and a temperature approximately 5 times warmer than Earth suggests that there may be a significant greenhouse effect taking place.

Greenhouse gases, such as carbon dioxide, water vapor, and methane, trap heat in a planet's atmosphere, which can lead to warming of the planet's surface.

The fact that the astronomer stated that Planet X cannot contain water in any form and must not contain any oxygen suggests that the atmosphere of Planet X is likely very different from Earth's atmosphere.

The nitrogen cycle, which is an essential part of Earth's ecosystem, may not operate on Planet X in the same way, as stated by the astronomer.

However, these statements do not provide direct evidence regarding the concentration of greenhouse gases in Planet X's atmosphere, so the hypothesis regarding the concentration of greenhouse gases is the most reasonable conclusion based on the available information.

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From the dimensions, the volume of the block is 212.52 cm³. Then, the density of the block is its mass divided by the volume, that is 8.92 g/cm³.

Density of a substance is the measure of its mass per unit volume. Density of a substance describes how closely its particles are packed. Higher the mass within smaller volume, higher is the density.

given dimensions of the block of copper = 8.4, 5.5 and 4.6 cm

then volume v = l b h

v = 8.4 × 5.5 × 4.6 =  212.52 cm³.

mass = 1896 g

Then, density of the block of copper is determined as follows;

density = mass/volume

d = 1896 g/ 212.52 cm³

  =  8.92 g/cm³

Therefore, the density of the copper block is  8.92 g/cm³.

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Answer: D

Explanation:

Answer:

1080000 J

Explanation:

Givens:

m = 15000 kg

v = 12 m/s

[tex]KE=\frac{1}{2} mv^2\\KE=\frac{1}{2} (15000)(12)^2\\KE=1080000 J[/tex]

Answer:

A machine can help decrease the input force and increase the output force.

This is achieved by using a simple machine, such as a ramp, to increase the distance over which the input force is applied. By increasing the distance over which the input force is applied, the amount of force required to move an object is reduced. This is known as mechanical advantage, and it allows a smaller input force to produce a larger output force, making the work easier to do.

For example, if a person needs to lift a heavy object straight up, they would need to apply a large amount of force to lift it. However, if they use a ramp to move the object up a slope, the distance over which the force is applied is increased, making it easier to move the object with less force.

The pressure difference between two points in a manometer is given by the difference in the heights of the fluid columns in the two legs of the manometer.

If the pressure in pipe A is decreased by 10 kPa, the height of the fluid column in that leg of the manometer will decrease. The amount of decrease will depend on the specific gravity of the fluid in that leg, as well as the height of the fluid column before the pressure change. Assuming the specific gravity of the fluid in pipe A is 0.9, the decrease in pressure will cause the fluid column to decrease by (10 kPa)/(0.9 * 9.81 m/s^2), or approximately 1.15 meters. The change in the height of the fluid column in the other leg of the manometer will depend on the height of that column and the specific gravity of the fluid in that leg. To determine the new differential reading along the inclined leg of the manometer, we need to calculate the difference in the heights of the two fluid columns after the pressure change. This will be equal to the difference in the heights before the pressure change, minus the 1.15 meter decrease in the height of the fluid column in pipe A.

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Answer: The cannon ball will hit the floor after 4.24 seconds. It will strike at a distance of 212m from the foot of cliff. As the object is travelling with the zero acceleration due to horizontal movement its final velocity will be 50m/s.

890 joules of heat are needed to heat 100 grams of ice from -7°C to 0°C.

Heat (in joules) = mass (in grams) x specific heat capacity (in joules/gram °C) x temperature change (in °C)

That is the expression can be clearly represented as

Heat = MC(T1-T2)

Substituting our given Data we have

Heat = 100 g x 2.09 J/g°C x 7°C

Heat = 890 J

A physical feature of matter known as heat capacity or thermal capacity is the quantity of heat that must be applied to an object in order to cause a unit change in temperature. J/K is the metric unit for heat capacity. A broad property is heat capacity.

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The value of magnetic induction is 0.667 T.

The EMF induced in a conductor traveling through a magnetic field is given by:

EMF = B x L x v

where B is the magnetic induction (measured in Tesla), L is the conductor's length (in meters), and v is its speed (in meters per second)

What we have here is

L = 60 cm = 0.6 m (because the length of the wire is specified in centimeters) (since the length of the wire is given in centimeters)

v = 5 m/s

EMF = 2 V

When these values are inserted into the equation, we obtain the following:

2 V = B x 0.6 m x 5 m/s

Calculating for B, we obtain:

B = 2 V / (0.6 m x 5 m/s) = 0.666... T

Thus, the magnetic induction is 0.667 T, rounded to three significant numbers.

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Acceleration due  to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²

The acceleration of an object attained due to the gravitational force acting on it is called acceleration due to gravity.

Here,

The acceleration due to gravity on the surface of earth,

g = GM/R²

Acceleration due to gravity at a height h from earth's surface,

g' = GM/(R + h)²

So, g'/g = R²/(R + h)²

Therefore, g' = gR²/(R + h)²

Here, h = 6400 km = Radius of earth, R

so h = R

Therefore,

g' = gR²/(R + R)²

g' = gR²/4R²

g' = g/4 = 9.8/4

g' = 2.45 m/s²

Hence,

Acceleration due  to gravity of the spacecraft at a height of 6400 km from earth's surface is 2.45 m/s²

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Your question was incomplete, but most probably your full question was:

On the surface of the Earth the spacecraft falls at 9.8 m/s². What is the Spacecraft's acceleration at a height 6400 km from Earth?

The shift or change in a wave's frequency or wavelength brought on by the proximity of an emitting or reflecting sound source to the receiver. Therefore, the wavelength of the sound wave is 1.10 meters.

You may have noticed that the pitch of a fast-moving siren suddenly decreases as it passes past you. Because the pitch is higher, the siren initially appears to be approaching you. The siren's pitch drops as it moves away from you after passing you. The Doppler effect is being displayed here.

wavelength = speed / frequency

where wavelength is in units of meters, speed is in units of meters per second (m/s), and frequency is in units of Hertz (Hz).

For a sound wave with a speed of 680 m/s and a frequency of 220 Hz:

wavelength = speed / frequency

wavelength = 680 m/s / 220 Hz

wavelength = 3.09 m

Therefore, the wavelength of the sound wave is 3.09 meters.

For a sound wave with a speed of 960 m/s and a frequency of 875 Hz:

wavelength = speed / frequency

wavelength = 960 m/s / 875 Hz

wavelength = 1.10 m

Therefore, the wavelength of the sound wave is 1.10 meters.

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The angle formed by cables AB and AC is approximately 72.4 degrees.

b^2 = a^2 + c^2 - 2ac cos A

Since the tower height is given as a = 58m, we can substitute this into the equation:

b^2 = 58^2 + c^2 - 2(58)(c) cos A

Simplifying, we get:

cos A = (c^2 + 58^2 - b^2) / (258c)

Now we can plug in the values given in the problem. Let's say cable AB has a length of 70m and cable AC has a length of 80m. Then we have:

cos A = (80^2 + 58^2 - 70^2) / (25880)

cos A = 0.292

Taking the inverse cosine of this value, we get:

A = 72.4 degrees

A cable is a flexible structure made of one or more long, thin, and strong wires or fibers. Cables are used to transmit forces, motion, or electricity between two points. They are widely used in engineering, construction, transportation, and power generation.

The strength and flexibility of cables depending on the material and structure used in their construction. Steel cables are commonly used for their strength and durability, while synthetic fibers such as nylon and kevlar are used for their flexibility and resistance to corrosion.

Cables are often used in tension, meaning that they are stretched between two points and used to transmit a pulling force. They can also be used in compression, where they are used to resist a pushing force.

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The mass of an object on which force is exerted which displaces 8m of distance and changes its velocity from 0 to 7.18 m/s is m=F/3.22.

Force(F) applied on the body is mass(m) times its acceleration(a).

i.e. F=ma

according to this equation we get acceleration as

a = F ÷ m this equation says that when we apply more force to the body, more acceleration it gets. When more is the mass of the body, greater force is needed to accelerate with same amount to that less mass.

Given,

Initial velocity u = 0 m/s

final velocity v= 7.18 m/s

Distance s = 8m

According to equation of kinematics,

v²=u²+2as

7.18²=2×8×a

a= 3.22 m/s²

F = ma

F= 3.22×m

m=F÷3.22

if force is given, we can calculate exact mass of an object.

Hence mass of an object is m=F/3.22.

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The amount of work (in Newton meters) that Helen did to get her car to the gas station is 4000 Newton meters

Work done is defined as illustrated by the formula given below:

Work done = force (F) × distance (d)

From the question given above, we were told that:

The work done by Helen can be obtained as shown below:

Work done = force (F) × distance (d)

Work done = 40 × 100

Work done = 4000 Newton meters

Thus, it is evident that the work done is 4000 Newton meters

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The computed speed was found to be a number of 3.3333m/s

Given Data

We know that the expression for finding speed is given as

Speed = Distance/Time

Converting from km to m we have

m = 1*1000

Distance = 1000m

Converting from 5mins to seconds we have

300 seconds.

Now, Speed = 1000/300

Speed = 3.3333 m/s

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Answer: Binary fission

Explanation: Bacteria cells split into two using binary fission.

To calculate the number of revolutions per minute required to create artificial gravity of 9.80 m/s² in a space station with a diameter of 770 m, we can use the formula for centripetal acceleration: a = (v²)/r

Where a is the centripetal acceleration, v is the velocity of the space station, and r is the radius of the space station. In this case, we want to solve for v, so we can rearrange the formula as: v = sqrt(a * r). Plugging in the given values, we get: v = sqrt(9.80 m/s² * 385 m), v = 62.39 m/s. To convert this to revolutions per minute, we need to know the circumference of the space station, which is: C = 2 * π * r, C = 2 * 3.14 * 385 m, C = 2415.4 m. So the number of revolutions per minute is: rev/min = v / C, rev/min = 62.39 m/s / 2415.4 m/rev * 60 s/min, rev/min = 1.56 rev/min. Therefore, the space station needs to make 1.56 revolutions per minute to create artificial gravity of 9.80 m/s².

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The acceleration of the sled pulled upwards on a hill by a horse is approximately 2.74 m/s^2.

To solve this problem, we need to first resolve the forces acting on the sled into components parallel and perpendicular to the surface of the hill.

The force of gravity acting on the sled can be resolved into two components:

The force perpendicular to the hill, which is equal to m * g * cos(15°)

The force parallel to the hill, which is equal to m * g * sin(15°)

The force of the horse pulling the sled can also be resolved into two components:

The force perpendicular to the hill, which is equal to F * cos(15°)

The force parallel to the hill, which is equal to F * sin(15°)

Since the sled is being pulled up the hill, the direction of motion is opposite to the direction of the force of friction. Therefore, the force of friction can be written as:

f = -μ * N

The net force acting on the sled is the sum of the forces parallel to the hill, which can be written as:

F_net = F_parallel - f = F * sin(15°) + μ * m * g * cos(15°)

Using Newton's second law, we can write:

F_net = m * a

Substituting the expressions for F_net and f, we get:

F * sin(15°) + μ * m * g * cos(15°) = m * a

Plugging in the given values, we get:

900 * sin(15°) + 0.10 * 250 * 9.81 * cos(15°) = 250 * a

Solving for a, we get:

a = (900 * sin(15°) + 0.10 * 250 * 9.81 * cos(15°)) / 250

a ≈ 2.74 m/s^2

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if two objects have 24 kg m/s of momentum before they collide, the total momentum of the system after the collision will also be 24 kg m/s.

What is collision ?

If there is no external force acting on a system, the overall momentum of that system stays constant, according to the law of conservation of momentum. As a result, the total momentum of the two items after the collision will equal the pre-collision momentum of the two objects, which is 24 kg m/s.

The combined momentum of the two objects will still be 24 kg m/s if we suppose that they keep together after the impact. The momenta will add up to 24 kg m/s, but they will have distinct magnitudes and directions if, on the other hand, the objects bounce off of each other and move away from the collision in opposing directions.

In order to specifically respond to your query, the overall momentum of Whether the two items stick together or bounce off one another, the combined weight of the two after the contact will be 24 kg m/s.

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The cross product of the vector A= 3i + 4j and B= -3i + 7j is found to be -33k.

The vector that are provided to us are vector A and vector B, the value of the vectors are A = 3i + 4j and B = -3i +7j

Now, we have to find the cross products that is given by, R = A X B,

So, we write that,

R = A X B

R = (3i + 4j) X (-3i +7j)

R = -21k - 12k

R = -33k

We have to note here that R is also a vector because the cross product of the two vector is also a vector always but when we do the dot products the resultant is not a vector.

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Using this information provided between the relationship between the period of oscillation for a pendulum and the amplitude of the oscillation, the solutions of the given problems are provided below.

A body hanging from a fixed point such that it may move back and forth while being pulled by gravity is called a pendulum.

The average period of the trials that were conducted with an amplitude of 10 degrees can be calculated by adding up the period values and dividing by the number of trials:

(1.66 + 1.70 + 1.71 + 1.68 + 1.72) / 5 = 1.69 s (rounded to two decimal places)

The average period of the trials that were conducted with an amplitude of 35 degrees can be calculated similarly:

(1.75 + 1.71 + 1.75 + 1.76 + 1.69) / 5 = 1.73 s (rounded to two decimal places)

Based on the data collected, the average period for an amplitude of 10 degrees is 1.69 s and the average period for an amplitude of 35 degrees is 1.73 s. This suggests that the period does increase with amplitude, consistent with the predicted relationship.

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Answer:

P V = N R T        describes an ideal gas

T2 / T1 = P2 V2 / (P1 * V1) = 4

T1 = 273 + 10 = 283        initial absolute temperature of gas

The magnitude of the resultant displacement of the caterpillar is 1.4m. Therefore, option B is correct.

The change in the position of an object is called displacement, it is the distance between starting and endpoints. It has both magnitude and direction, it is a vector quantity.

If a caterpillar climbs 1.3 m up a tree, then 0.72 m right, the magnitude of resultant displacement is given by:

H² = P² + B²

H² = (1.3)² + (0.72)²

H² = 1.69 + 0.51

H = [tex]\sqrt2.2[/tex]

H = 1.4m

Thus, the magnitude of the resultant displacement of the caterpillar is 1.4m. Therefore, option B is correct.

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Answer: The speed of the object in mph is 1680.89 mph

Answer:

1680.89 mph is the speed of an object

Swimming in a pool requires that you push back on the water in order to go forward is Newton's 3rd Law.

Newton's 3rd Law, also known as the law of action and reaction, states that for every action, there is an equal and opposite reaction. This means that if an object A exerts a force on object B, then object B will exert an equal and opposite force on object A.

For example, if you push against a wall, the wall will push back on you with the same force in the opposite direction. This is because every force is a result of an interaction between two objects, and each object exerts an equal and opposite force on the other.

This law is important in understanding how objects interact with each other and is fundamental to many areas of physics, including mechanics, fluid dynamics, and electromagnetism.

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When Weight of 7294.3 N can be supported by boom if force 7800 is applied on the cable and there is no resultant rotation at point C.

Torque is defined as force times perpendicular distance from axis of rotation to the point at which force is applied. Torque is denoted by τ and its SI unit is Nm. i.e Torque is given by, τ = F×d sinθ. Torque is vector quantity.

Torque is analogous to force in rotational motion. like there angular velocity ω is analogous  linear velocity v. means Torque is a force in rotational motion.

Looking at the answered figure I have resolved forces, there will be no resultant rotation when opposite torques due to opposite horizontal forces gets balanced.

We get,

τ₁ = τ₂

F×d Cos40⁰ = W×d Sin55°

F Cos40° = W Sin55°

W = F×(Cos40°÷Sin55°)

W = F×0.93516

W = 7800 ×0.93516

W = 7294.3 N

Hence Weight that can be supported is 7294.3 N.

b) When we assume that there is no cable, Then

Torque τ = W×d Sin35°

τ = 7294.3×10 Sin35°

τ = 41838.3 Nm

bloom will rotate with 41838.3 Nm torque.

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