a log with a mass of 14 kg is suspended by two ropes, one at either end. What is the tension force in each rope

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.

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].

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

Answer:

23.4 kg m/s

Explanation:

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

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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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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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 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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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.

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 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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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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Solar energy is called renewable because it is abundant in nature and can be filled repeatedly.

Energy is power or strength that can be used for various activities. Energy cannot be created but can be changed from one form to another and can be transferred.

Solar energy is energy produced from the radiant heat of sunlight that can be utilized by all living things on earth, both humans, animals and plants. Solar energy can also be used as an alternative energy because it is environmentally friendly. This energy is included in renewable energy because the amount is abundant and endless even though it is used in large quantities.

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Answer:

since, Pressure=Force/Area

then,Area=Force/Pressure

or,Area=20000/1000

:.Area=20 m²

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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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.

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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Answer:

Explanation: case b i think

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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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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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 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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C. Most stars are too far away to show a parallax shift.we make parallax measurements for most of the stars in our galaxy

What is galaxy?

Galaxy is a term used to describe a large system of stars, star clusters, interstellar gas, and dust bound together by gravity. Galaxies are often classified by their shape, size, and composition.

The Milky Way, our own galaxy, is a barred spiral galaxy, composed of hundreds of billions of stars and gas, bound together by gravity. Other types of galaxies include elliptical, irregular, and dwarf galaxies. Galaxies are often found clustered together in groups and superclusters, which are some of the largest structures in the universe.

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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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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.

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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Alberta will meet the paper ball 8m away from Fatima's position after 13.3 seconds.

What is the seconds?

Seconds is a unit of time and is the base unit of time in the International System of Units (SI). It is described as the length of 9,192,631,770 radiation periods that correspond to the change between the two hyperfine levels of the cesium-133 atom's ground state. One second is equal to 1/60 of a minute, 1/3,600 of an hour, 1/86,400 of a day, and 1/31,536,000 of a year.

Seconds are a unit of time that is equal to one sixty-fourth of a minute. It is the base unit of measurement for time in the International System of Units (SI). One second is equal to 1000 milliseconds or 0.000277778 minutes. Seconds can be used to measure very short periods of time, such as the time it takes for light to travel from one end of a football field to the other.

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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.