For the circuit in the attached plot, find the energy stored in the capacitor under DC conditions. O 30 mJ O 3 mJ O 0.045 mJ O 0.005 mJ

Radioactive element  which keeps on decaying over the time. Decay of radioactive element always comes under first order kinetics. Therefore the half life time of  radioactive substance is 2seconds.

Half life tells about the time at which the radioactive material decays to half of its initial concentration.

Mathematically,

half life time=0.693/  rate constant of the decay

The half life of a radioactive substance is the time taken for the activity to halve. Using the graph to calculate the half life of the radioactive isotope, we find that activity that is 3500 so, half of this activity is 17500 which is corresponding to time 2 seconds.

Therefore the half life time of  radioactive substance is 2seconds.

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A boy weighing 40 kg jumps off a 600 kg raft horizontally. If the youngster is leaving the raft at a velocity of 4.0 m/s, the raft will be moving at a speed of 0.26 m/s.

The conservation of linear momentum is a general law of physics that states that no single item, or system of objects, experiences a change in the quantity called momentum that describes motion. Momentum is the force needed to stop an item moving at a certain speed in a given amount of time. It is calculated by multiplying an object's mass by its velocity.

Given,

mass of the boy (m₁) = 40 kg

mass of the raft (m₂) = 600 kg

speed of the boy (u₁) = 4 m/s

We have to find out the speed of the raft (u₂)

By conservation of linear momentum, We get

m₁u₁ = m₂u₂

⇒ u₂ = (m₁ ₓ u₁)/m₂

⇒ u₂ = (40*4)/600

⇒ u₂ = 0.26 m/s

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Answer:

C. In the passage, it seems that both of the cells have the same job, so I would go with C.

By replacing the force system acting on the post with a resultant force and a couple of moments at point o we get total momentum of 1478.85 ft-lb.

As per the figure we have 3 forces: At the top 300lb left side 150lnb and at the middle 200lb.

first, we have to break down the forces into x and y components.

Now calculating each force separately:

∑Fₓ=300lb+cos 30°-150×4/3+200

=259.81-120+200

∑Fₓ=339.81lb.

Now, calculate the sum of y components.

∑Fy=300 sin 30°+150×3/5

∑Fy=300 sin 30°+90

∑Fy=240lb

Now we have to x and y components by these values we can find the actual force.

|F|=√Fx²+Fy²

|F|=√(339.81)²+(240)²                     α=tan⁻¹(∑Fₓ/∑Fy)

|F|=√115470.83+57600                      α=tan⁻¹(339.81/240)

|F|=√173070                                       α=35.23°

|F|=416.02 and 35.23°

the sum of moments at O

∑Mo=-Fx₃×2+Fx₂×4-Fx₁×6

∑Mo=-200(2)+4/5 150*4-3000cos30°(6)

∑Mo=-400+480-277.65

         =1478.85ftlb

∑Mo=1478.85ftlb

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Answer:

23.4 kg m/s

Explanation:

p = mv = 0.013kg × 1800m/s = 23.4 Kg.m/s

Answer:

The total amount of energy necessary to carry out this process is 22600 joules (J).

Explanation:

This is because the heat of vaporization (the energy required to change the state of water from liquid to gas) of water is 2260 J/g. Since 10.0 g of water is being heated, the total amount of energy needed is 10.0 g * 2260 J/g = 22600 J.

Answer:

since, Pressure=Force/Area

then,Area=Force/Pressure

or,Area=20000/1000

:.Area=20 m²

The distance the piston needs to travel for the valve to open is equal to the applied force divided by the area, which is equal to 0.1 m.

What is applied force?

Applied force is a type of force that is applied to an object or system in order to cause it to move, accelerate, or change its shape. This type of force is often generated by machines and other devices, and can also be exerted by humans.

Applied force can also be used to counter other forces, such as gravity, friction, and inertia. Applied force is measured in newtons (N).

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the orbital period is  7200sec or 2hours and orbital speed is 7,27m/s

(a) The orbital period of a satellite is the time it takes for the satellite to make one full orbit around the Earth. To calculate the orbital period, we can use the equation: T = 2 * pi * (a^3/GM)^(1/2) where T is the orbital period, a is the semi-major axis of the orbit (which is equal to the altitude of the satellite), pi is approximately 3.14, G is the gravitational constant (approximately 6.67 x 10^-11 m^3/kgs^2), and M is the mass of the Earth (approximately 5.98 x 10^24 kg).Plugging in the given altitude of 2.0 x 10^7 m for a and the known values for pi, G, and M, we get:

T = 2 * pi * (2.0 x 10^7 m)^3/ (6.67 x 10^-11 m^3/kgs^2 * 5.98 x 10^24 kg)^(1/2)

Simplifying, we get:

T = 2 * pi * (8.0 x 10^21 m^3/ (4.03 x 10^34 kg*m^3/s^2))^(1/2)

T = 2 * pi * (1.98 x 10^13 s^2/kg)^(1/2)

T = 7200 sec (or 2 hours)

(b) The orbital speed is the distance traveled by the satellite in one hour. We can calculate the orbital speed using the equation v = 2πa/T

Plugging in the values of a and T we get :

v = 2π (2.0 x 10^7 m) / 7200 sec

v = 7,27 m/s

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Force is positive if the mass accelerates downward. Use the formula T = M x A to determine the tension in the rope.

That direction is the pull that is referred to as tension. As a result, the tension will point toward the string or rope and away from the mass.

A mass suspended by a string is pulled upward by the string, exerting an upper force that shifts the tension to the upper side.

For instance, you should know that T = 9g x 2m/s2 = 18gm/s2 or 18N when trying to calculate T in a straightforward pulley system with a linked mass of 9g and an upward acceleration of 2m/s2 (newtons). The direction in which a string expands changes when it passes over an ideal massless pulley, but the string's tension is unaffected.

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The acceleration of the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

Acceleration is the rate of change of velocity. At any point on a trajectory, the magnitude of the acceleration is given by the rate of change of velocity in both magnitude and direction. Acceleration of the body that we can consider is the increasing value of the velocity of any object at a constant rate and that of wee can calculate. Hence by the primary information that we have we can formerly consider that the acceleration which is acting on the particle at t=0 is zero because the particle is in rest position and did not moving at any of the instance or travelling at an uniform speed through out the whole journey or yet did not start from the source point.

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The forearm serves as the lever arm, while the elbow serves as the pivot. In spite of the forearm's weight and whatever additional weight the hand may be bearing, the biceps muscle exerts the force and bends the forearm. Compared to the effort, the weight is further from the pivot.

A moving bar that pivots on a fulcrum fastened to a fixed point is the lever. The lever works by exerting forces at various angles in relation to the pivot or fulcrum. Ones farther from this pivot move more quickly than points closer to it when the lever revolves around the fulcrum.

A moving bar that pivots on a fulcrum fastened to a fixed point is the lever. The lever works by exerting forces at various angles in relation to the pivot or fulcrum. Ones farther from this pivot move more quickly than points closer to it when the lever revolves around the fulcrum.

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A. The period of vibration is the time it takes for one complete oscillation to occur. It is the reciprocal of the frequency. The period of vibration can be calculated using the formula:

Period = 1/Frequency

Given that the frequency of vibration is 5.0Hz, the period of vibration is:

Period = 1/5.0 s

Period = 0.2 s

B. If the cart's mass is doubled while the spring constant remains unchanged, the frequency of vibration will not change. This is because frequency is dependent on the spring constant and the mass of the cart and not on the amplitude of the oscillation.

C. If the spring constant doubles while the cart's mass remains the same, the frequency of vibration will also double. This is because frequency is directly proportional to the square root of the spring constant. Therefore, doubling the spring constant would lead to an increase in the frequency of vibration by a factor of square root of 2.

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The photon is typically described as an electromagnetic (EM) wave, such as the image below. These are the two components of the wave longitudinal and transverse.

A photon is a particle of light which essentially is a packet of electromagnetic radiation. The energy of the photon depends on its frequency (how fast the electric field and magnetic field wiggle, this needs better wording, for 'fast electric field' and 'wiggle'.

A photon is a tiny particle that comprises waves of electromagnetic radiation. As shown by Maxwell, photons are just electric fields traveling through space. Photons have no charge, no resting mass, and travel at the speed of light.

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The statement is false. The capacitor doesn't charge Q exponentially decays to zero when the RELAY is thrown to position N.O.

As a capacitor charges, its voltage also rise.

V = Q/C

where Q = charge, V = voltage and C = capacitance

If the circuit contains a battery, a resistor and a capacitor all connected in series, then the following are true.

The battery voltage is fixed. And the capacitor voltage is rising. This clearly means that the current through the resistor is dropping.

I = (Vbatt - Vcap)/R

Since the current is dropping, then the rate at which charge is deposited on one plate and removed from the other one continuously drops.

So the charging of the capacitor also slows down because of the rising voltage.

But here the rise in the voltage is slowing down because of the rate of charges that are accumulating and leaving continuously is slowing down.

The slower rise in voltage causes a further slowing in the rate of charge movement which further slows down the rise in voltage which causes an even slower rate of charge movement.

A capacitor is referred as an electrical device which stores electrical charge when it is connected across the source of potential difference.

The total charge that the capacitor can be stored when it is placed across a potential V is given by

Q=CV

where C is the capacitance of the capacitor.

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No, the object will not experience any force of friction because there is no air or other medium in the tube to create friction against the object.

This is because friction is only possible when two objects are in contact with each other, or when an object is in contact with a medium like air or water. Since there is no air or other medium in the tube, there is nothing for the object to interact with. As a result, the object will fall through the tube without any external forces acting on it, such as friction. The motion of the object will be completely determined by the force of gravity and the object's inertia, and no other external forces will be present.

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Answer:

$4.80

Explanation:

Total energy used is found with this formula:
[tex]E = Pt[/tex]

where:
[tex]E[/tex] is energy (in kilowatt-hours)
[tex]P\\[/tex] is power ( in Kilowatts)
[tex]t[/tex] is time ( in Hours)

We can find the total power consumption by adding all the appliances, then dividing by 1000 to convert it from Watts to Kilowatts:

[tex]\frac{(40*2)+120}{1000} =0.2kW[/tex]

And then find [tex]E[/tex] with 5 hours a day for 30 days:

[tex]E= 0.2*(5*30)=30kWh[/tex]

Thus, cost needed would be:

$0.16 × 30 = $4.80

Based on the age of the light- and dark-colored regions of the Moon and the number of craters observed in these regions, we know that impacts in the inner Solar System rapidly decreased approximately 3 billion years ago.

The light-colored areas of the Moon's surface are roughly 1 billion years older than the dark-colored regions.

The dark patches are basalt-based juvenile plains known as maria. The basalt poured in and inundated the region left by a massive asteroid or comet collision. The bright regions are the highlands, which are raised mountains caused by impacts.

The light-colored material is found in portions of the Moon known as the highlands, which represent the Moon's oldest crust.

The lunar highlands are the earliest lunar features. This is mostly determined by the amount of impact craters found in various locations of the moon.

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The average speed of the car is 24 m/s. The average speed of the car is therefore below 25.0 m/s.

The description of rapidity. a change in the location of an object in either direction or speed. How fast something is going is determined by the distance travelled and the time required to cover that distance. Speed is a scalar quantity since it just has an arrow-like direction and no magnitude.

The entire movement of an item, independent of direction, is called distance. Distance may be characterized as the quantity of ground covered, regardless of the starting or finishing points of an item.

distance (d) = 9 miles = 14.4841 km

d = 14484.1 m

1 miles = 1609.34 m

t₁= 14484.1/ 20

 = 724.2 sec

t₂= 14484.1/ 30= 482.8 sec

total time ( t) = t+t

t= 724.2+ 482.8 = 1207 sec

Vavg = 2d/t= 2*14484.1/1207

Vavg = 24m/s

24< 25

lessthan 25m/s

car average speed (Vavg) = 24 m/s.

Therefore, the car average speed is 24 m/s.

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The amount of matter present is simply referred to as mass. As a result, temperature change has no direct effect on mass since the amount of matter present remains constant regardless of temperature. The mass of a material in a given volume is defined as its density.

Temperature is a physical measure that quantifies our feelings of hotness and coolness. A thermometer is used to measure temperature.

Thermometers are calibrated in a variety of temperature scales that have traditionally been defined by various reference points and thermometric substances.

The most prevalent scales are the Celsius scale (previously known as centigrade), the Fahrenheit scale (°F), and the Kelvin scale (K), with the latter being used mostly for scientific reasons. The kelvin is one of the International System of Units' seven basic units (SI).

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The Power generated is 77.5 Watt

                                       Power = Work / time

                                                P = W / t

                                                P = Fd/t

                                                P = mgd/t

where, F = force = mg

           d = displacement

            t = time

Given, mass (m) = 155Kg

           g = acceleration due to gravity = 10 m/s^2

           d = 150 cm = 0.15 m

           t = 5.00 x 10^-2 min = 3 seconds

Putting these values in above equation, we get P= 77.5 Watt.

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The acceleration due to gravity on this planet is 19.6 m/s².

Acceleration is the rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting. Both effects contribute to the acceleration of all other motions.

In mechanics, gravity also known as gravitation is the constant force of attraction that pulls all things together. It has little impact on determining the intrinsic characteristics of common stuff because it is by far the weakest known force in nature.

Calculation:

The acceleration due to gravity on the earth's surface is given by

g = ​[tex]\frac{GM}{R^{2} }[/tex]

Now, Mp ​= [tex]\frac{M}{2}[/tex]​, Rp ​= [tex]\frac{R}{2}[/tex]​

The acceleration due to gravity on the new planet is:

[tex]g_{p}[/tex] = [tex]\frac{GM_{p} }{R_{p} ^{2} }[/tex]  ​​=  [tex]\frac{GM/2}{R^{2} /4^{} }[/tex] ​= 2g 

[tex]g_{p}[/tex] ​= 2 × 9.8 = 19.6 m/s².

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Answer:

Series.

Explanation:

Current is the same in each device since there is only a single pathway for the charge to flow.

Answer:

Approximately [tex]36\; {\rm J}[/tex].

Explanation:

Under the assumption, there is no friction to hinder the motion of the block. As a result, the increase in the kinetic energy of the block would be equal to the external work done on the block.

Let [tex]F[/tex] denote this magnitude of this force, let [tex]s[/tex] denote the magnitude displacement, and let [tex]\theta[/tex] denote the angle between this force and displacement. To find the work that this force has done on the block, use the formula:

[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta)\end{aligned}[/tex].

For example, since the block in this question is moving along a horizontal table, displacement of the block would be in the horizontal direction. It is given that the angle between this force and the horizontal direction is [tex]37^{\circ}[/tex]. Thus, the angle between the force and the displacement would be [tex]\theta = 37^{\circ}[/tex].

Magnitude of this force is [tex]F = 15\; {\rm N}[/tex], while magnitude of displacement is [tex]s = 3\; {\rm m}[/tex]. The work done on this block would be:

[tex]\begin{aligned}(\text{work}) &= F\, s\, \cos(\theta) \\ &= (15\; {\rm N})\, (3\; {\rm m})\, \cos(37^{\circ}) \\ &\approx 36\; {\rm N\cdot m} = 36\; {\rm J}\end{aligned}[/tex].

Hence, the kinetic energy of this block would increase by [tex]36\; {\rm J}[/tex].

According to the given statement  If suddenly a load is dumped into the cart so that the cart's mass is doubled The acceleration slows.

which speaks of the rate of change in time of the speed and direction of motion. Something is said to be accelerating when it starts to move faster or slower. Even if the speed slows down, motion on a circle accelerates because the direction is constantly changing.

Any process in which the velocity changes is referred to as acceleration. There are only two ways to speed up because velocity consists of both a speed and a direction.

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Answer:

Mechanical energy.

Explanation:

Mechanical energy is the energy that is possessed by an object due to its motion or due to its position. Mechanical energy can be either kinetic energy or potential energy.

In ∑ F = m v^2r , both m and r are unknown but remain constant

Any force, or set of forces, can accelerate an object radially or centripetally. A few examples include the tension in a tether ball's rope, the gravitational pull of the Earth on the Moon, the friction between roller skates and a rink's floor, the force of a banked road on a car, and the forces on a centrifuge's tube.

A centripetal force is any net force that produces uniform circular motion. The centripetal force and centripetal acceleration both point in the direction of the centre of curvature. Newton's second equation of motion states that net force equals mass times acceleration, or net F = m a.

The centripetal acceleration—a = a c—determines the rate of acceleration for uniform circular motion.

Consequently, the size of

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The right response is B: To catch a ball, a baseball player moves his or her hand backward in the direction of the ball's motion because  the time of impact is increased.

By doing this, the force of impact on the player's hand is mostly reduced. The force needed to stop the ball will decrease as the amount of time it takes to reach zero motion increases. Consider a ball approaching you with 100 units of momentum. To stop the ball, a 100-unit impulse would be necessary. No matter how the impulse is generated, there must be 100 units of it. A force is an effect that can alter an object's motion in physics.

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Answer:

Explanation:

option 1 - A and B move with the same speed INCORRECT because the lines have different slopes

option 2 - B moves with non-uniform speed  INCORRECT because the line for B is straight

option 3 - A completes his journey early INCORRECT because A ends his journey at about 11:45 after going about 42 km. B finishes his journey at about 11:35.

option 4 - B overtakes A at 11:10 a.m.  CORRECT.  They meet at the 30 km mark at 11:10, which is where the lines intersect.

According to the given statement The tension force in each rope is T = 14g/2Sin N, according to the information provided.

Tension is the force that is transmitted through a cable, rope, or wires when it is stretched by loads exerted from opposing sides. The bodies are put through an identical degree of strain at each end of the wire by the tension force, which is exerted all along entire of the wire's length.

Let the tension in each rope be T₁ & T₂

Also, T₁ = T₂ = T

T₁ Sinθ + T₂ Sinθ = mg

2T Sinθ = mg

2T Sinθ = 14g

T = 14g/2Sinθ

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