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mojhsa
1 month ago
14

The magnitude of the force associated with the gravitational field is constant and has a value FF . A particle is launched from

point BB with an initial velocity and reaches point AA having gained U0U0 joules of kinetic energy. A resistive force field is now set up such that it is directed opposite the gravitational field with a force of constant magnitude 12F12F . A particle is again launched from point BB . How much kinetic energy will the particle gain as it moves from point BB to point AA ?

Physics
1 answer:
serg [3.5K]1 month ago
7 0

Answer:

The particle's kinetic energy will equal 12U₀.

Explanation:

Given that,

A particle is fired from point B with an initial speed and arrives at point A with U₀ joules of kinetic energy gained.

The consistent force acting is 12F.

As per the problem,

The kinetic energy is

U_{0}=Fx....(I)

Constant force remains at 12F.

A resistive force field now exists,

With the resistive force defined as,

F_{r}=12F

As the particle travels from point B to point A,

We need to find the kinetic energy

Using the kinetic energy formula

U=F_{r}x

Substituting values for F_{r}

U=12Fx

Then, from equation (I)

U=12U_{0}

Consequently, the particle’s kinetic energy will amount to 12U₀.

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An ore sample weighs 17.50 N in air. When the sample is suspended by a light cord and totally immersed in water, the tension in
kicyunya [3294]

Answer:

Estimate of the sample's volume: approximately \rm 0.6422 \; L = 6.422 \times 10^{-4} \; m^{3}.

Mean density of the sample: approximately \rm 2.77\; g \cdot cm^{3} = 2.778 \times 10^{3}\; kg \cdot m^{3}.

Assumption:

  • \rm g = 9.81\; N \cdot kg^{-1}.
  • \rho(\text{water}) = \rm 1.000\times 10^{3}\; kg \cdot m^{-3}.
  • The volume of the cord is considered negligible.

Explanation:

Overall volume of the sample

The magnitude of the buoyant force equals \rm 17.50 - 11.20 = 6.30\; N.

This also corresponds to the weight (weight, m \cdot g) of the water displaced by the object. To determine the mass of the displaced water from its weight, apply the formula: divide weight by g.

\displaystyle m = \frac{m\cdot g}{g} = \rm \frac{6.30\; N}{9.81\; N \cdot kg^{-1}} \approx 0.642\; kg.

Assuming the density of water is \rho(\text{water}) = \rm 1.000\times 10^{3}\; kg \cdot m^{-3}. To find the volume of the displaced water, use the formula: divide mass by density \rho(\text{water}).

\displaystyle V(\text{water displaced}) = \frac{m}{\rho} = \rm \frac{0.642\; kg}{1.000\times 10^{3}\; kg \cdot m^{-3}} \approx 6.42201 \times 10^{-4}\; m^{3}.

Assuming the cord's volume is negligible, since the sample is completely submerged in water, its volume should equal the volume of the displaced water.

V(\text{sample}) = V(\text{water displaced}) \approx \rm 6.422\times 10^{-4}\; m^{3}.

Mean Density of the sample

Average density can be calculated by the mass divided by volume.

To compute the mass of the sample from its weight, utilize the formula: divide by g.

\displaystyle m = \frac{m \cdot g}{g} = \rm \frac{17.50\; N}{9.81\; N \cdot kg^{-1}} \approx 1.78389 \; kg.

The volume from the previous section can be utilized.

Lastly, divide mass by volume to find the average density.

\displaystyle \rho(\text{sample, average}) = \frac{m}{V} = \rm \frac{1.78389\; kg}{6.42201 \times 10^{-4}\; m^{3}} \approx 2.778\; kg \cdot m^{-3}.

3 0
14 days ago
Describe a well-known hypothesis that was discarded because it was found to be untrue.earth-centered model of the universe. the
inna [3103]
The previously accepted theory that was proven incorrect is the Geocentric Theory, which placed Earth at the center of the universe. This idea was introduced by philosopher Ptolemy. He formulated this hypothesis based on his observations that celestial bodies such as the Sun, stars, and the moon appeared to move around Earth from our vantage point. However, Galileo Galilei contradicted this notion with his Heliocentric Theory. He used a telescope to observe that Venus undergoes phases, akin to the moon, leading him to conclude that the alignment of Venus, Earth, Moon, and Sun did not support the earlier theory. 
6 0
1 month ago
How many turns should a 10-cm long solenoid have if it is to generate a 1.5 x 10-3 t magnetic field on 1.0 a of current?
kicyunya [3294]

This problem can be solved using Ampere’s Law:

<span>Bh = μoNI </span>

In this equation:

B = Magnetic Field

h = length of the coil

<span>μo = permeability = 4π*10^-7 T·m/A</span>

N = number of coil turns

I = current

Given values are B = 0.0015T, I = 1.0A, h = 10 cm = 0.1m<span>

Utilizing Ampere's law to determine the number of turns:
This can be rearranged to:
<span>N = Bh/μoI</span>
N = (0.0015)(0.1)/(4π*10^-7)(1.0)
N = 119.4

</span>

<span>Final answer: 119.4 turns</span>

3 0
1 month ago
myron is almost late for class and he is running quickly to arrive before the professor begins lecturing as he listen to the pro
inna [3103]
No established theory exists here.
Myron has presented a strong hypothesis to clarify his observations.
Alternative hypotheses could be:

-- An infected mosquito might have bitten him during his sleep, causing symptoms to manifest.

-- He may have consumed something for dinner that was a bit spoiled.

-- He might have had excessive alcohol at the fraternity party last night.

-- The air in the classroom could contain elevated levels of Carbon Dioxide.

-- His body might be responding to the physical exertion of rushing to class.

Currently, Myron has merely formulated a hypothesis.
He cannot draw any "conclusion" until he tests his hypothesis and demonstrates that similar outcomes consistently result from the same conditions. Testing his hypothesis may prove challenging, but unless he does so, he lacks a comprehensive theory.

In my view, while his hypothesis may indeed be valid, the most probable explanation for his experience is the recent physical strain from running to class. It’s crucial to note that I cannot convince anyone of this conclusion; my perspective is merely another hypothesis. Its validity holds no significance unless it undergoes testing.
6 0
1 month ago
Suppose that A’, B’ and C’ are at rest in frame S’, which moves with respect to S at speed v in the +x direction. Let B’ be loca
Keith_Richards [3271]

Response:

1) An observer in B 'perceives the two events occurring at the same time

2) Observer B recognizes that the events happen at different times

3)  Δt = Δt₀ /√ (1 + v²/c²)

Clarification:

This scenario illustrates the concept of simultaneity in special relativity. It is important to keep in mind that light's speed remains constant across all inertial frames

1) Since the events are stationary within the frame S ', they propagate at the constant speed of light, resulting in them reaching observation point B'—located equidistantly between both events—simultaneously

Thus, an observer in B 'observes the two events occurring at the same time

2) For an observer B situated within frame S attached to the Earth, both events at A and B appear to take place at the same moment. However, the event at A covers a shorter distance, while the event at B travels a longer distance, since frame S 'is in motion at velocity + v. Hence, with a constant speed, the event covering the lesser distance is perceived first.

Consequently, observer B perceives that the events do not occur simultaneously

3) Let's determine the timing for each event

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where t₀ represents the time in the S' frame, which remains at rest for the events

8 0
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