Resultant displacement between the base camp and the cave will be 7.211 km
Displacement is a vector quantity that refers to "how far out of place an object is"; it is the object's overall change in position.
Her resultant displacement can be calculated using Pythagoras theorem
[tex]H^{2} = P^{2} + B^{2}[/tex]
= [tex]4^{2} + 6^{2}[/tex]
= 52
H = [tex]\sqrt{52}[/tex] = 7.211 km
Resultant displacement between the base camp and the cave will be 7.211 km
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What ,begin emphasis,two,end emphasis, actions will ,begin emphasis,best,end emphasis, help people in Cape Town lessen the water shortage problem?
The following actions will help people in Cape Town to lessen the water shortage problem.
Diversifying the municipal water portfolio with water recycling, The desalination processUse of groundwater can reduce risk of water shortages due to droughtWhat is drought?A drought is described as a moisture deficit relative to the average water availability at a given location and season. A drought is also defined as drier than normal conditions.
Water shortage is becoming an increasing threat in Cape town because of climate change impacts which includes changing rainfall patterns and rising temperatures and increasing water demand.
In summary, the city of Cape town can develop engineering dams and 'importing' water through inter-basin transfer schemes to help in fighting drought.
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A 10 kg object is on a movable platform. Rank the size of the normal force acting on the object from largest to smallest.
a) The object is at rest and the platform is not moving
b) the object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary
c) the object is at rest on the stationary platform and there is an upward force of 10N applied to the top of the object while it remains stationary
d) the platform is accelerating the object upward at 1.5 m/s^2
e) the platform is accelerating the object downward at 0.5 m/s^2
The size of the normal force acting on the object from largest to smallest are;
(b) The object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary.
(e) The platform is accelerating the object downward at 0.5 m/s^2.
(a) The object is at rest and the platform is not moving.
(c) The object is at rest on the stationary platform and there is an upward force of 10N applied to the top of the object while it remains stationary
(d) the platform is accelerating the object upward at 1.5 m/s^2.
What is normal force?
The normal force of an object is the upward force exerted on the object by the supporting surface due to weight of the object acting downwards.
The formula for normal force is given as;
Fn = mg
where;
m is mass of the objectg is acceleration due to gravityThe normal force on the 10 kg object when it is at rest and the platform is not moving,
Fn = mg
Fn = 10 x 9.8
Fn = 98 N
When the object is at rest on the stationary platform and there is a downward force of 10N applied to the top of the object while it remains stationary,
Fn = (10 x 9.8) + 10 N
Fn = 108 N
When the object is at rest on the stationary platform and there is a upward force of 10N applied to the top of the object while it remains stationary,
Fn = (10 x 9.8) - 10 N
Fn = 88 N
When the platform is accelerating the object upward at 1.5 m/s^2
Fn = (10 x 9.8) - (1.5 x 10)
Fn = 98 N - 15 N
Fn = 83 N
When the platform is accelerating the object downward at 1.5 m/s^2
Fn = (10 x 9.8) + (10 x 0.5)
Fn = 103 N
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A car increases its velocity from 0m/s to 14 m/s in 2 seconds
answer -
7 m/s^2
Explanation:
it goes 7m/s 14 / 2 = 7
Jacob and his scooter have a combined mass of 15 kg What is the force it will take to accelerate his scooter at 3 m/s²?
Answer:
45 N
Explanation:
F = m a = 15 * 3 = 45 N
Planets A and B have the same mass, but planet
is nait the
Which statement correctly explains the
weight you would experience on each
planet?
O A. You would weigh less on planet A because the distance between
you and the planet's center of gravity would be smaller.
•
B. You would weigh the same on both planets because the masses
of the planets are the same.
• C.
You would weigh more on planet A because the distance between
you and the planet's of center of gravity would be smaller.
both planets because your mass
D. You would weigh the same on
would be the same on both.
b
Statement is accurate C. You would weight more on planet A because the distance between you and the planet's of center of gravity would be smaller.
What is the proper statement's justification?You would weigh less on planet A due to a closer proximity to the planet's center of gravity, which is the statement that best represents your weight on each planet.
According to Newton's rule of universal gravitation, "the force of gravity between two bodies is directly proportional to the product of their masses and inversely proportional to the square of the distances between them,"
Given that weight is a function of both mass and gravity, objects on planets with stronger gravitational pull will have heavier masses.
The weight will be lighter since there is less space between the individual and the planet's center.
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Technology has changed and continues to change the way we live our lives, directly affecting our health and wellness. List three ways that modern technology has enhanced people’s health and three ways that it has diminished their health. Address personal, family, and community health. Do you believe that the good outweighs the bad? Why or why not?
Advanced medicine, good healthcare and easy diagnose are three ways that modern technology has enhanced people’s health
Technology has changed how individuals go about their daily lives. Practically every action you take, including regular work and conversation, is affected by it. Thanks to technology, carrying out tasks around the house or going to work has become easier. Many gadgets and pieces of equipment make it easier for people to live. Transportation, education, and medicine are just a few of the societal fields it has affected.
Another significant benefit of technology in people's lives is the modernization of the healthcare industry. The days of waiting in an outpatient department queue for hours to see a doctor are long gone. Patients may schedule hospital visits and look up the business hours of their doctors' offices using mobile devices.
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A 60km is suspended from two cables which makes 30° and 45° angle with the vertical. Determine the tension in each string.
The tension in each string if a 60 kg is suspended from two cables which makes 30° and 45° angle with the vertical is 429.2 N to the left and 302.25 N to the right.
m = 60 kg
Resolving the tension force of 30° string into its horizontal and vertical components
Tx = T1 sin θ
Tx = T1 sin 30°
Tx = 0.5 T1
Ty = T1 cos θ
Ty = T1 cos 30°
Ty = 0.87 T1
Resolving the tension force of 45° string into its horizontal and vertical components
Tx = T2 sin θ
Tx = T2 sin 45°
Tx = 0.71 T2
Ty = T2 cos θ
Ty = T2 cos 45°
Ty = 0.71 T2
∑Fx = 0
- 0.5 T1 + 0.71 T2 = 0 → ( 1 )
∑Fy = 0
0.87 T1 + 0.71 T2 - m g = 0
0.87 T1 + 0.71 T2 - ( 60 * 9.8 ) = 0
0.87 T1 + 0.71 T2 - 588 = 0 → ( 2 )
( 2 ) - ( 1 ),
1.37 T1 - 588 = 0
T1 = 588 / 1.37
T1 = 429.2 N
Sub T1 in ( 1 ),
( - 0.5 * 429.2 ) + 0.71 T2 = 0
- 214.6 + 0.71 T2 = 0
T2 = 214.6 / 0.71
T2 = 302.25 N
Therefore, the tension in each string is 429.2 N to the left and 302.25 N to the right.
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What are the rock forming minerals and its meaning.
Answer:
There are almost 5000 known mineral species, yet the vast majority of rocks are formed from combinations of a few common minerals, referred to as “rock-forming minerals”.
Two small plastic spheres having positive electrical charges are given. When they are 60.00cm apart, the repulsive force between them has the magnitude 0.250N.calculate the charge on each sphere
Answer:
3.16 × 10‐⁶
Explanation:
through coulomb's law
the force of attraction or repulsion of charges is given by the relation
F = k.q1.q2/r²
where your k = 9 × 10⁹
Answer:
Charge 3.16 mkC microcoulomb
Explanation:
Given:
q₁ = q₂ = q - Electrical charges
r = 60.00 sm = 0.60 m - Distance between charges
F = 0.250 N - Repulsive force between charges
___________________
q - ?
F = k·q₁·q₂ / r² = k·q·q / r² = k·q² / r²
Charge:
q = √ (F·r² / k )
q = r·√ (F / k )
q = 0.60· √ (0.250 / 9·10⁹) ≈ 3.16·10⁻⁶ C or:
q = 3.16 mkC (microcoulomb)
Nabil wants to work out the density of a pebble. He has a displacement can and a beaker. What other piece of equipment will he need?
In order to determine the density of the pebble, Nabil requires a balance to measure the mass of the pebble.
What is the density of a substance?The density of a substance is the measure of how tightly-packed the particles in the substance are.
Density is the ratio of the mass and volume of the substance.
Density = mass/volumeTo determine the density of a substance, the mass of the substance is measured with a balance and the volume of the substance if it is solid is measured using a displacement can and a beaker.
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If one of the cars starts and ends at the same point in the race (making a loop around the track), what is the car's displacement?
A 0
B 1
C 2
D 7.5
PLEASE
Answer:
A.0
Explanation:
how long (in seconds) would it take a Narwhal to accelerate from rest down a 30 meter long ravine with an acceleration of 2.2 m/s^2
The time (in seconds) it will take the Narwhal to accelerate from rest down a 30 meter long ravine is 5.2 s
How do I determine the time?We know from equations of motion that distance, acceleration and time are related according to the following formula:
s = ut + ½at²
Where
s is the distanceu is the initial velocitya is the accelerationt is the timeWith the above formula, we can obtain the time as follow:
Initial velocity (u) = 0 m/sDistance (s) = 30 mAcceleration(a) = 2.2 m/s²Time (t) = ?s = ut + 1/2at²
30 = (0 × t) + (½ × 2.2 × t²)
30 = 0 + (1.1 × t²)
30 = 1.1 × t²
Divide both side by 1.1
t² = 30 / 1.1
Take the square root of both side
t = √(30 / 1.1)
t = 5.2 s
Thus, the time taken is 5.2 s
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A wave on a rope is shown in the diagram. In the diagram, d = 3 m.
(a) What is the wavelength of this wave?
(b) If the frequency is 5 Hz, what is the speed of the wave?
The wavelength of the wave is 3m and the speed of the wave is 15 m/s
What is a wave?We define a wave as a disturbance that occurs along a medium and leads to the transference of energy from one point to another. As we can see the energy in this case is transferred along the length of the string. We know that the wavelength is the distance between the two successive crests or troughs.
Now we know that the distance between the two successive crests as we can see is the wavelength of the wave and this is shown the length that have been designated as d and we thus have the wavelength as 3m.
Again we have;
v = λf
v = speed of the wave
f = frequency of the wave
λ = wavelength of the wave
Then;
v = 3 m * 5 Hz
= 15 m/s
Thus the wave speed is obtained as 15 m/s.
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A tennis ball with a mass of 0.2 kg is thrown upwards from the ground at a velocity of 30 m/s. What
is the height of the ball when it has a velocity of 20 m/s?
The height of the ball when it has a velocity of 20 m/s is 45m.
What is mass?
It is the most fundamental feature of matter and one of the fundamental quantities in Physics. Mass can be defined as the amount of matter in a body. Kilogram is the SI unit of mass (kg).
It should be noted that a body's mass does not alter with time. Only in severe instances where a massive amount of energy is provided or removed from the body. In a nuclear reaction, for example, a tiny bit of matter is turned into a massive amount of energy, reducing the mass of the substance.
Given Initial velocity of ball, u=30 m/s
Let the maximum height reached and time taken to reach that height be H and t respectively.
Assumption: g=9.8 m/s2
holds true (maximum height reached is small compared to the radius of earth)
30/g=30/9.8=3 seconds
as the time taken to reach max height.
h(3)=-4.9(3²)+30(3)
=90–45
=45m
The height of the ball when it has a velocity of 20 m/s is 45m.
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ASTRONOMY QUESTION
Over what range of distances from the Sun would you expect to find solid, rocky material collecting together to form a terrestrial planet?
Group of answer choices
A) 5 - 50 AU
B) beyond 50 AU
C) 0.2 - 5 AU
D) 0 - 0.2 AU
The range of distances from the Sun that you would expect to find solid, rocky material collecting together to form a terrestrial planet is option (C) 0.2 - 5 AU.
What is formation of a terrestrial planet about?Jovian planets can be found at distances of 2 AU to 50 AU or more. This is the area where the early Solar System's temperature was below 273 K, water's freezing point.
Therefore, While rocky and metallic materials (Terrestrial planets) might have condensed over the whole range of distances from the Sun, only the rocky material could have accumulated over the range from 2 AU and inwards. H and He may have also been captured by the planet if it had been further from the Sun than 2 AU, which would have made it a Jovian or gas giant planet.
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Ametal cube of side 6cm at 20 degree Celsius on
heating to 600 degree Celsius increases by 0.3cm
calculating the coefficient of linear expansion
coefficient of superficial expression
coefficient of cubical expansion
We have the following from the question;
The coefficient of linear expansion is 8.6 * 10^-5
The coefficient of superficial expression is 1.72 * 8.6 * 10^-4
The coefficient of cubical expansion is 2.5 * 10^-4
What is the linear expansivity?Let us recall that the term linear expansivity has to do with the increase in length, per unit length, per degree Kelvin rise in temperature. Now we know that we have the following information from the question;
Initial length = 6cm
Increase in length = 0.3cm
Initial temperature = 20 degree Celsius
Final temperature = 600 degree Celsius
We then have;
coefficient of linear expansion = e/[tex]l_{1}[/tex]([tex]T_{2}[/tex] - [tex]T_{1}[/tex])
e = extension
[tex]l_{1}[/tex] = initial length
[tex]T_{2}[/tex] = Final temperature
[tex]T_{1}[/tex] = initial temperature
coefficient of linear expansion = 0.3/6(600 - 20)
= 8.6 * 10^-5
coefficient of superficial expression = 2( 8.6 * 10^-5)
= 1.72 * 8.6 * 10^-4
coefficient of cubical expansion = 3(8.6 * 10^-5)
= 2.5 * 10^-4
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Brooke is learning about electronic devices that use electric current to encode information. She learns that when a person speaks into the microphone of a telephone, the sound wave generated by the person’s voice is changed into an electronic signal. This electronic signal is then transmitted to another telephone where it is converted back to a sound wave so the other person can hear the voice. The sound wave is encoded by varying the voltage of the electronic signal. Brooke learns that the voltage can be changed in two ways, resulting in two types of electronic signals: analog and digital. Figure 1 and Figure 2 represent these two types of signals.
Identify the type of signal represented by each figure. Explain your reasoning.
The signals in this problem are classified as follows:
Figure 1: Digital signal.Figure 2: Analog signal.What are analog and digital signals?Analog signals are signals that are continuous in both domain and range, meaning that it can assume decimal values, hence it's graph is represented by a continuous curve.
Digital signals are signals that are discrete in both domain and range, meaning that it assumes only integer values, hence it's graph is composed by pulses.
Hence the classification of the signals for each figure in this problem are given as follows:
Figure 1: Digital signal, as the graph is composed only by pulses.Figure 2: Analog signal, as the graph is represented by the continuous and oscillating curve.More can be learned about analog and digital signals at https://brainly.com/question/22858440
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The figure shows an overhead view of a 1.40 kg plastic rod of length 1.20 m on a table. One end of the rod is attached to the table, and the rod is free to pivot about this point without friction. A disk of mass 38.0 g slides toward the opposite end of the rod with an initial velocity of 35.5 m/s. The disk strikes the rod and sticks to it. After the collision, the rod rotates about the pivot point.
A thin vertical rod has a point labeled pivot at its bottom, and a disk moving horizontally along an arrow labeled vector v that will reach the rod perpendicularly at the top.
(a) What is the angular velocity, in rad/s, of the two after the collision?
The angular velocity, in rad/s, of the two after the collision is 28.7 rad/s.
What is the angular velocity after collision?
The angular velocity, in rad/s, of the two after the collision is determined by applying principle of conservation of angular momentum as follows;
I₁ω₁ = I₂ω₂
where;
I₁ is the initial moment of inertia of the rodI₂ is the final moment of inertia of the rodω₁ is the initial angular speed of the diskω₂ is the final angular velocity of the system after the collisionInitial moment of inertia of the rod is calculated as follows;
I₁ = ¹/₃ML²
where;
M is mass of the rodL is length of the rodI₁ = ¹/₃ x 1.4 x (1.2²)
I₁ = 0.67 kgm²
Final moment of inertia of the rod is calculated as;
I₂ = ¹/₃ x (1.4 + 0.038) x (1.2²)
I₂ = 0.69 kgm²
I₁ω₁ = I₂ω₂
0.67(0 + 35.5/1.2) = 0.69ω₂
19.82 = 0.69ω₂
ω₂ = 19.82/0.69
ω₂ = 28.7 rad/s
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if the wet bulb depression is 3° and the dewpoint is 24°, what’s the relative humidity?
The relative humidity (RH) where the Wet Bulb Depression is 3° and the Dewpoint is 24° is given as 78.92%.
What is relative humidity?Relative humidity (RH) is a percentage ratio of the quantity of atmospheric moisture available to the amount that would exist present if the air was saturated.
The relationship between Relative Humidity, Air Temperature, and Dewpoint is given as follows:
RH = 100 *[[tex]e^{\frac{(\beta * Dp)}{(\lambda + Dp)}}[/tex] / [tex]e^{\frac{(\beta * T)}{(\lambda + T)}}[/tex]]
Where
RH = Relative Humidity
T = Air Temperature
Dp = Dewpoint
β = 17.625 and λ = 243.04°C; (revised Magnus coefficients)
e = 2.7182818 [exponential constant]
Note that Air temperature (T) is determined using the attached Dewpoint Psychrometer Table /chart
As given on the chart and in the question;
T = 28°
Dp = 24°
Hence,
RH = 100 x [[tex]e^{\frac{(17.625 * 24)}{(243.04+ 24)}}[/tex] / [tex]e^{\frac{(17.625 * 28)}{(243.04+ 28)}}[/tex] ]
RH = 100 x [ [tex]e^{(423/267.04)}[/tex] )/ [tex]e^{(493.5/271.04)}[/tex]]
RH = 100 x [[tex]e^{1.584}[/tex]/[tex]e^{1.8207}[/tex]]
RH = 100 x (4.874414/6.176578)
RH = 100 x 0.789177113929
RH = 78.9177113929
RH [tex]\approx[/tex] 78.92%
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Which of the following are projectiles (using the definition of a projectile)? (KEEP IN MIND, these are under normal circumstances unless otherwise stated) human walking meteor in Earth's atmosphere car driving airplane landing asteroid basketball being shot by Steph Curry ball on a rope , swinging around a pole (tetherball football thrown bird flying tennis ball served at 140 mph
The example of projectile is a basketball being shot by Steph Curry.
What is projectile?Projectile is any object propelled through space by the application of a force.
Projectile is used to describe any object that is cast, fired, flung, heaved, hurled, tossed, or thrown. For example, when a ball is thrown straight upward, or kicked.
In projectile motion, gravity is the only force acting on the object. This doesn’t necessarily mean that other forces do not act on it, just that their effect is minimal compared to gravity. The path followed by a projectile is known as a trajectory.
Other examples of projectile is as follows:
Firing a canonJavelin throwArcheryGun fireGolf ballTherefore, it can be said that a basketball being shot by a renowned basket baller into the air is an example of projectile.
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In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
Helpp :'v
Hello..!
¿What is a series circuit?
A series circuit is a connection configuration in which the terminals of devices are connected successively, that is, the output terminal of one device is connected to the input terminal of the next device.
Problem:
In a series connection, three lamps are available L(1), L(2) and L(3). If we take out the L(3) bulb, what happens to each of the other bulbs?
If we put two lamps in a series circuit, the following can be obtained: the voltage that enters the first lamp will go out in the second lamp, that is, if we have a switch and we turn the lamps on and off, they will light up together.If we have a circuit of three lamps, the same thing happens.If the L(2) bulb burns out or we take it out, what will happen is that there will not be enough voltage for the L(1) and L(3) bulbs and that means these two bulbs will not work. If we remove the lamp L(1), not enough voltage passes to the lamp L(2) and it is not enough for the L(3), because the lamp L(2) shares voltage with the L(2)If we remove the lamp L(3) we can turn off the lamp L(2) and L(1) as there is not enough voltage to turn them on.Why does it happen?
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery. This means that the lamps light less when they are in series.
The answer is that if we remove the L(3) lamp, the others stop working.
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[tex]\begin{gathered}\rule{7cm}{0.01mm}\\\texttt{Bons estudos! :D}\\\rule{7cm}{0.01mm}\end{gathered}[/tex]
Answer:
This is because the battery voltage is divided between the components, which will therefore have a lower voltage than the battery.
Hope this helped
A weightless spring of force constant 2.50 N/cm is 15.0 cm long when nothing is attached to it. It is now used to pull horizontally on a 12.5 kg box on a smooth horizontal floor. You observe that the box starts from rest and moves 96.0 cm during the first 1.60 s of its motion. How long is the spring during this motion?
The length of the spring during the motion is 16.875 cm
How do I determine the length of the spring?We'll begin by obtaining the velocity during the first 1.60 s. This is illustrated as follow:
Distance = 96 cm = 96 / 100 = 0.96 mTime = 1.60 sVelocity =?Velocity = distance / time
Velocity = 0.96 / 1.6
Velocity = 0.6 m/s
Next, we shall determine the acceleration.
Initial velocity (u) = 0 m/sFinal velocity (v) = 0.6 m/sTime (t) = 1.6 sAcceleration (a) =?a = (v – u) / t
a = (0.6 – 0) / 1.6
a = 0.6 / 1.6
a = 0.375 m/s²
Next, we shall determine the force.
Mass (m) = 12.5 kg
Acceleration (a) = 0.375 m/s²
Force (F) =?
Force = mass × acceleration
Force = 12.5 × 0.375
F = 4.6875 N
Next, we shall determine the extension of the spring.
Force (F) = 4.6875 NSpring constant (K) = 2.50 N/cmExtension (e) =?F = Ke
Divide both sides by K
e = F / K
e = 4.6875 / 2.5
e = 1.875 cm
Finally, we shall dtermin the length of the spring. This can be obtained as follow:
Original length = 15 cmExtended length = 1.875 cmLength of spring =?Length of spring = 15 + 1.875
Length of spring = 16.875 cm
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The decibel rules of thumb can be combined. (a) If a sound has intensity xdB, how many dB does a sound 100 times more intense have? (b) If another sound has intensity ydB, how many dB does a sound 4 times less intense have? (c) Combine what you know about (a) and (b): If a sound has intensity zdB, how many dB does a sound 25 times more intense have?
give me a water analogy of an electric current with high current but low voltage
A battery is analogous to a pump in a water circuit
What is the water analogy for current ?A pump receives water at low pressure, processes it, and ejects it at high pressure. A battery absorbs a charge at low voltage, processes it, and then expels it at high voltage.
Voltage, current, and power may all be explained using the water/hose analogy in relation to electricity. Generally speaking, charge, voltage, and current represent the flow, pressure, and charge of water, respectively. Water flowing continuously throughout time is referred to as power.An illustration of a water tank is frequently used to explain voltage, current, and resistance. This analogy compares charge to the volume of water, voltage to the pressure of the water, and current to the movement of the water.Learn more about Water analogy here:
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A 40 N force is applied to a 10 kg block, but the object only accelerates at 2 m/s?. Explain why this happens using a free-body diagram.
Using a free body diagram to explain the situation, the acceleration of the block decreased because of force of friction acting in opposite direction reducing the net force on the block and consequently the acceleration of the block.
What is net force on an object?
The net force on an object is the sum of all the forces acting on an object.
According to Newton's second law of motion, the net force on an object is directly proportional to the product of mass and acceleration of the object.
F(net) = ma
F - Ff = ma
where;
F is the applied force on the objectFf is the force of friction on the objectm is the mass of the objecta is the acceleration of the objectIn the absence of friction force, the maximum acceleration of the block is calculated as;
a = F/m
a = 40 N / 10 kg
a = 4 m/s²
In the presence of friction force, the net force will decrease and the acceleration of the block will decrease as well.
In free body diagram (FBD) this can be represented as;
F → Ф ← Ff
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A .50 kg mass attached to an ideal spring of spring constant 80N/c oscillate on horizontal frictionless surface , the mechenical energy is .12j , the greatest energy from y to x is
The greatest energy or the greatest extension from its equilibrium positions is equal to 0.12 J.
What is mechanical energy?Mechanical energy is the sum of potential energy and kinetic energy that is used to do work. Mechanical energy defines the energy of a system because of its motion or position.
The total mechanical energy is conserved as we know the energy can neither be created nor destroyed. The mechanical energy of a system can only be changed from one form to another whenever the forces used to do work are conservative in nature.
The energy is stored in the form of potential energy in a compressed string. If the elastic potential energy is changed into kinetic energy as it is used to accelerate the mass.
The total mechanical energy required to compress the spring is the maximum amount of elastic potential energy stored in the spring. The greatest energy of the spring will be at the maximum displacement. Therefore, the spring will have the greatest potential energy at equilibrium positions equal to 0.12 J.
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A 975-kg car accelerates from rest to 26.7 m/s in a distance of 120 m. What is the magnitude of the average net force acting on the car?
The force that is applied to the car is 2896 N.
What is the acceleration?We know that the acceleration is the often gotten by the use of the kinematic equations. We can write;
v^2 = u^2 + 2as
Given that;
v = final velocity
u = initial velocity
a = acceleration
s = distance
Then we know that u = o m/s since it started from rest
v^2 = 2as
a = v^2/2s
a = (26.7)^2/ 2 * 120
a = 2.97 m/s^2
We know that;
Force = mass * acceleration
Force = 975-kg * 2.97 m/s^2
Force = 2896 N
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Regarding the likelihood of planets orbiting other stars,
I hate to leave you answer less, but there isn't even a question here to answer.
Show that an electron falling from n = 4 to n = 3 in the hydrogen atom will produce a photon in the infrared region.
The wavelength of the light is 1.92 * 10^-6 m which corresponds to the infrared region as shown in the image attached.
What is the energy of the hydrogen atom?We know that the hydrogen atom has electrons that occupy energy levels that are in conformity with the Bohr model. According to the Bohr model, electrons can move from a higher to a lower energy level.
We now have;
1/λ = RH (1/[tex]n_{2} ^2[/tex] - 1/[tex]n_{1}^2[/tex])
λ = wavelength
RH = Rydberg constant
The initial and the final levels are also shown therefore;
1/λ = 1.097 * 10^7 ( 1/3^2 - 1/4^2)
1/λ= 1.097 * 10^7 (0.11 - 0.0625)
λ=1.92 * 10^-6 m
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It takes 5.91 J of work to stretch a Hooke’s-law spring 4.78 cm from its unstressed length.
How much the extra work is required to stretch it an additional 9.95 cm?
Answer in units of J.
The extra work is required to stretch the spring to an additional 9.95 cm is 25.61 J.
What is the spring constant of spring?
The spring constant of the spring is determined by applying the formula for elastic potential energy of a spring as shown below.
E = ¹/₂kx²
where;
k is the spring constantx is the extension of the springkx²= 2E
k = 2E/x²
k = (2 x 5.91)/(0.0478²)
k = 5,173.2 N/m
The work done to stretch the string to 9.95 cm is calculated as;
E = ¹/₂kx²
E = ¹/₂(5173.2)(0.0995)²
E = 25.61 J
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