Answer:
a) T = 2.26 N, b) v = 1.68 m / s
Explanation:
We use Newton's second law
Let's set a reference system where the x-axis is radial and the y-axis is vertical, let's decompose the tension of the string
sin 30 = \(\frac{T_x}{T}\)
cos 30 = \(\frac{T_y}{T}\)
Tₓ = T sin 30
T_y = T cos 30
Y axis
T_y -W = 0
T cos 30 = mg (1)
X axis
Tₓ = m a
they relate it is centripetal
a = v² / r
we substitute
T sin 30 = m\(\frac{v^2}{r}\) (2)
a) we substitute in 1
T = \(\frac{mg }{cos 30}\)
T = \(\frac{ 0.2 \ 9.8}{cos \ 30}\)
T = 2.26 N
b) from equation 2
v² = \(\frac{T \ sin 30 \ r}{m}\)
If we know the length of the string
sin 30 = r / L
r = L sin 30
we substitute
v² = \(\frac{ T \ sin 30 \ L \ sin 30}{m}\)
v² = \(\frac{TL \ sin^2 30}{m}\)
For the problem let us take L = 1 m
let's calculate
v = \(\sqrt{ \frac{2.26 \ 1 \ sin^230}{0.2} }\)
v = 1.68 m / s
which one of the following is the correct order of the electromagnetic spectrum from low to high frequencies? select one: a. radio waves, uv, x-rays, microwaves, infrared, visible, gamma rays b. radio waves, infrared, microwaves, uv, visible, x-rays, gamma rays c. radio waves, microwaves, infrared, visible, uv, x-rays, gamma rays d. radio waves, infrared, x-rays, microwaves, uv, visible, gamma rays
The correct order of the electromagnetic spectrum from low to high frequencies is: radio waves, microwaves, infrared, visible, UV, X-rays, gamma rays. Option C is correct.
The electromagnetic spectrum is the range of all types of electromagnetic radiation, from low-frequency radio waves to high-frequency gamma rays. Radio waves have the longest wavelengths and lowest frequencies, followed by microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays, which have the shortest wavelengths and highest frequencies.
This order is based on the different ways in which electromagnetic radiation interacts with matter, with longer wavelengths being less energetic and shorter wavelengths being more energetic. It is important to note that while this order is generally accepted, there can be some overlap and variation depending on context and source. Option C is correct.
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An athlete spins in a circle and throws a 1.6-kg discus. The radius of the discus's path is 1.0 m, and he releases it with an angular speed of 15.0 rad/s. The athlete spins for a total of 1.2 s before releasing the discus.
– What is the tangential speed of the discus at release?
– What is the centripetal acceleration of the discus?
– What is the centripetal force on the discus?
giving Brainliest for full and proper answers! thank you for anyone who tries to help/explain :)
(a) The tangential speed of the discus at the release is 15 m/s.
(b) The centripetal acceleration of the discus is 225 m/s².
(c) The centripetal force on the discus is 360 N.
The given parameters;
mass of the discus, m = 1.6 kgradius of the path, r = 1 mangular speed, ω = 15 rad/stime of motion, t = 1.2 sThe tangential speed of the discus at the release is calculated as follows;
\(v = \omega r\\\\v = 15 \ rad/s \ \times 1 \ m\\\\v = 15 \ m/s\)
The centripetal acceleration of the discus is calculated as follows;
\(a_c = \frac{v^2}{r} \\\\a_c = \frac{15^2}{1} \\\\a _c = 225 \ m/s^2\)
The centripetal force on the discus is calculated as follows;
\(F_c = ma_c\\\\F_c = 1.6 \times 225\\\\F_c = 360 \ N\)
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A
is the order in which things are arranged.
O plan
sequence
O process
O goal
Answer:
sequence
Explanation:
sequences are the way in which things are ordered, for example: 1, 2, 3, 4 is a sequence:)
Question 8
Brooke wakes up in the morning to find a rainbow produced by light shining through the fish tank near
her window. Which of the following types of electromagnetic radiation produced the rainbow that
Brooke saw?
Ultraviolet
Infrared
White light
Gamma rays
Answer:
3.white light
Two Staters are moving across the ice at rate of 2.3m/s when the 85kg man pushes the 66kg woman in such a way that he stops. What speed will she move after the push?
The woman will be moving at a speed of 5.2 m/s after the push.
What is speed?Speed is the rate at which an object or person moves from one place to another. It is measured in distance over time, such as meters per second, miles per hour, or kilometers per hour. Speed is a scalar quantity, meaning it has magnitude but no direction.
The man and woman are moving with the same speed before the push, so they must be moving with the same speed after the push. This is because momentum must be conserved. Momentum is equal to the mass times the velocity, so the momentum of the two-stater system before the push is equal to the momentum of the system after the push. We can calculate the momentum before the push by multiplying the total mass (85kg + 66kg = 151 kg) and the velocity (2.3 m/s), and find it to be 344.3 kg*m/s. We can then calculate the velocity of the woman after the push by dividing the momentum by the mass, and find it to be 344.3/66 = 5.2 m/s. Therefore, the woman will be moving at a speed of 5.2 m/s after the push.
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Measure the value of the radius of curvature and deduce the value of the focal length.
The radius of curvature is observed to be equal to twice the focal length for spherical mirrors with small apertures. Hence R = 2f.
Does focal length increase with a radius of curvature?As the radius of curvature for a lens grow (R2 > R1), the curvature of the lens decreases, and the focal length of the lens expands (f2 > f1) We can say clearly that the main focus of a spherical mirror lies at the core between the center of curvature and the pole.
the radius of curvature becomes longer the circle gets larger. As the circle gets larger, its curve gets praised, as the curve gets admired on a clear material Focal length of a lens depends on the deform index of the glass from which it is built, and on the curvature of its two surfaces.
So we can conclude that the result of a radius of curvature on the focal length of a convex lens.
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A jet is flying from atlanta to gulfport and is cruising at Mach .79 or 844 km/hr. During the last 89 km it reduces its speed for landing at a rate of -2780 km/hr^2. How long will it take for the jet to reach landing speed? What was the landing speed of the jet?
Answer:
The time it takes for the jet to reach landing speed is approximately 0.136 hours which is approximately 489 seconds
The landing speed is approximately 466.365 km/hr
Explanation:
The given parameters are;
The initial cruising speed of the jet = Mach 0.79 = 844 km/hr
The rate of speed reduction in the last 89 km = -2780 km/hr²
The distance it takes the jet to reduce its speed for landing = 89 km
Given the above information, we make use of the following equation of motion;
s = u·t - 1/2·a·t²
v² = u² - 2·a·s
Where;
s = The distance over which the acceleration (deceleration) is applied = 89 km
u = The initial velocity = 844 km/hr
t = The time taken for the accelerating/decelerating motion
v = The final velocity (landing speed)
Substituting the values gives;
v² = 844² - 2·(2780)·89 = 217496
v = √217496 = 466.365 km/hr
v ≈ 466.365 km/hr
Therefore, the landing speed, v ≈ 466.365 km/hr
The time it takes is given by the equation, v = u - a·t
Therefore;
t = (u - v)/a = (844 - 466.365)/2780 ≈ 0.136 hours
The time it takes for the jet to reach landing speed ≈ 0.136 hours
From, s = u·t - 1/2·a·t², we have
89 = 844·t - 1/2 × 2780 × t²
89 = 844·t - 1390 × t²
1390 × t² - 844·t + 89 = 0
Solving with an online application gives;
t = 211/695 + (√(27187/2))/695 = 0.4715 hours or t = 211/695 - (√(27187/2))/695 = 0.136 hours
We note that the second time is for the time it will take the jet to get back to 89 km after reaching a speed of 0
Therefore, the correct time is t = 0.136 hours
The time it takes for the jet to reach landing speed ≈ 0.136 hours
Describe the barriers that prevent energy efficiency reaching its potential.
There are several barriers that prevent energy efficiency from reaching its full potential. These barriers include upfront costs, lack of information and awareness, split incentives, market failures, and policy and regulatory challenges.
1. Upfront Costs: Investing in energy-efficient technologies and systems often requires a significant upfront investment. Many individuals and businesses may be hesitant to incur these costs, especially if they have limited financial resources or short-term perspectives.
2. Lack of Information and Awareness: Limited knowledge about energy-efficient practices and technologies can hinder adoption. People may not be aware of the potential energy savings or the available options to improve efficiency.
3. Split Incentives: In situations where landlords own the buildings but tenants pay the energy bills, there is a split incentive problem. Landlords may have little motivation to invest in energy efficiency measures since they don't directly benefit from the reduced energy costs.
4. Market Failures: Market failures, such as information asymmetry and externalities, can impede energy efficiency. For example, consumers may not have access to accurate information about the energy efficiency of products or may not consider the long-term cost savings.
5. Policy and Regulatory Challenges: Inconsistent or inadequate policies and regulations can hinder energy efficiency efforts. Insufficient incentives, lack of enforcement, and complicated procedures for accessing incentives or grants can discourage investment in energy efficiency.
Overcoming these barriers requires a multi-faceted approach involving public awareness campaigns, financial incentives, targeted policies, and streamlined regulations. Governments, businesses, and individuals need to collaborate to address these barriers and unlock the full potential of energy efficiency, leading to significant energy savings and environmental benefits.
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Match each physical property of matter to the appropriate definition
What are the properties and definitions?
Answer:
Theses are the answer
Explanation:
v = Circular motion constant speed
a = Centripetal acceleration
f = Centripetal force
In circular motion with constant speed, the object moves in a circular path at a constant speed, while experiencing centripetal acceleration and centripetal force directed towards the center of the circle.
Using a circular image show the circular motion constant speed, centripetal acceleration, centripetal force?In circular motion with constant speed, the object moves in a circular path at a constant speed. This means that the object covers equal distance in equal time intervals. The velocity of the object is tangential to the circle at every point.
Centripetal acceleration is the acceleration of an object moving in a circular path, directed towards the center of the circle. It is always perpendicular to the velocity of the object and is given by the formula a = v^2/r, where a is the centripetal acceleration, v is the velocity of the object, and r is the radius of the circular path.
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A block slides on a table pulled by a string attached to a hanging weight. In case 1 the block slides without friction and in case 2 there is kinetic friction between the sliding block and the table.
1)In which case is the tension in the string the biggest?
a) Case 1
b) Case 2
c) Same
The tension in the string is bigger in case 2 when there is kinetic friction between the block and the table. Option b) Case 2
This is because when the block is sliding without friction, the force needed to pull it is only equal to the weight of the hanging weight. However, in case 2, the kinetic friction between the block and the table opposes the motion of the block, which means that more force is needed to overcome this friction and pull the block. Therefore, the tension in the string has to be bigger to pull the block in case 2 compared to case 1. In conclusion, the tension in the string is not the same in both cases and is bigger in case 2 where there is kinetic friction. Correct answer is Option b) Case 2
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Michael rides his bike south on First Street at 5 m/s. Officer Wilson sees him go right past him, from the corner of Ocean and First streets. Officer Wilson speeds after Michael on his bicycle, catching up to him after one block, when he reminds him to wear his helmet. Which statement is the most accurate description of their motion?
Group of answer choices
They are both moving at the same speed.
They both have the same displacement.
They are moving in opposite directions.
They are both moving at the same velocity.
They both have the same displacement- is the most accurate description of their motion.
What is displacement?A displacement is a vector in geometry and mechanics that has a length equal to the shortest distance between a point P's initial and final positions.
It calculates the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory. The translation that links the starting point and the ending point can be used to spot a displacement.
As both Michael and Officer Wilson have same initial position and final position, they both have the same displacement.
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PLEASE HELP!
Fill in the blank.
Bubbles in glacial ice preserve samples of the ancient atmosphere as far back as ____ years ago, and the chemical composition of glacial ice contains information about ancient temperatures.
Question 1 options:
1 million
800,000
400,000
100,000
Answer:
The answer should be 650,000 years
Explanation:
The air bubbles are extracted by melting, crushing or grating the ice in a vacuum. This method provides detailed records of carbon dioxide, methane and nitrous oxide going back over 650,000 years[6].
Answer:
800,00 im currently taking this quiz i hope its right
Explanation:
A barber wants to set up a salon in a room measuring length 3m by 3m he has a simple wooden chair,three large mirrors & a bulb. Using the knowledge of shadows & reflection advise the barber on how to arrenge a good saloon using the only items he has
Here are some ideas for setting up the barber's salon based on the size of the space and the products available: The wooden chair should be positioned in the middle of the space, facing a wall.
The barber's workspace will be this. The room's other three walls should be covered with the three enormous mirrors. This will give the impression that there is more space present and enlarge the room. The mirrors should be angled to reflect both the client in the chair and the barber's work area. Over the chair, suspend the lightbulb from the ceiling. The barber salon will be able to operate in enough lighting thanks to this.The wooden chair should be positioned in the middle of the space, The barber can set up a white sheet or a reflecting surface to improve illumination even further.
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Use the formula given below to calculate the force advantage of the crow-bar (lever) in the picture.
FA = Leffort / Llifting
Select one:
a. 60
b. 32
c. 15
d. 2
Answer:
c.15
FA = Leffort / Llifting
\( \frac{30}{2} \)
=15
If an object has a fast velocity, the dots on a ticker tape diagram will be _____.
very long
far apart
very short
close together
Answer:
If an object has a fast velocity, the dots on a ticker tape diagram will be far apart.
A 1.40 mm-diameter ball bearing has 2.20×10^9 excess electrons.
What is the ball bearing's potential? Express your answer with the appropriate units.
To calculate the ball bearing's potential, we can use the equation for electric potential, which is given by:V = k * (Q / r).The ball bearing's potential is approximately 5.70 × \(10^{-7}\) volts.
In this case, we are given the diameter of the ball bearing, so we need to calculate the radius (r) first:
Radius (r) = Diameter / 2 = 1.40 mm / 2 = 0.70 mm = 0.70 × \(10^{-3}\) m
The excess charge is given as 2.20 × \(10^{9}\) electrons. To convert this to Coulombs, we need to multiply it by the elementary charge (e), which is approximately 1.602 × \(10^{-19}\) C.
Charge (Q) = (2.20 × \(10^{9}\)) × (1.602 × \(10^{-19}\)) C
Now we can calculate the potential (V):where k is the Coulomb constant (k ≈ 8.99 × \(10^{9}\)10^9 \(N m^2/C^2\)),
V = (8.99 × \(10^{9}\) \(N m^2/C^2\)) * [(2.20 × \(10^{9}\)) × (1.602 ×\(10^{-19}\) ) C] / (0.70 × \(10^{-3}\) m)
Calculating this expression gives:
V ≈ 5.70 ×\(10^{-7}\) V
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You're pushing horizontally on a large crate, but it won't budge. According to Newton's third law, the crate pushes back on you with the same magnitude of force that you exert on it. Suddenly the crate breaks free and you can now push it along the floor. Now is the force exerted by you on the crate greater than, equal to, or less than the force that you are exerting on the crate/ Explain.
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In this case, when you push horizontally on the large crate, the crate exerts a backward force on you with the same magnitude.
This is why the crate doesn't initially move; the backward force from the crate cancels out the forward force you exert on it. However, once the crate breaks free and starts moving, the situation changes.
Now, as you continue to push the crate along the floor, the force you exert on the crate is greater than the force the crate exerts on you. This is because the crate has overcome static friction and is now experiencing kinetic friction, which is generally smaller in magnitude than static friction.
The force you exert on the crate needs to be greater than the force of kinetic friction to accelerate the crate and maintain its motion. So, in this case, the force exerted by you on the crate is greater than the force exerted by the crate on you.
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if we know the average separation and period of revolution for a binary system, we can then measure
If we know the average separation and period of revolution for a binary system, we can then measure the total mass of the system.
The average separation between the two objects in a binary system, often referred to as the semi-major axis, provides information about their distance from each other. The period of revolution, on the other hand, represents the time it takes for the objects to complete one orbit around their common center of mass. By applying Kepler's laws of planetary motion and Newton's law of gravitation, we can derive a relationship between the semi-major axis, the period of revolution, and the total mass of the binary system. Using Kepler's Third Law of Planetary Motion, which states that the square of the period of revolution is proportional to the cube of the semi-major axis, we can express the equation as:
(T₁/T₂)² = (a₁/a₂)³
Where T₁ and T₂ are the periods of revolution for the two objects, and a₁ and a₂ are their respective semi-major axes.
From this equation, we can rearrange the terms to solve for the total mass of the system (M):
M = (4π² / G) * (a₁ + a₂)³ / (T₁ + T₂)²
Where G is the gravitational constant.
Therefore, by knowing the average separation (semi-major axis) and period of revolution for a binary system, we can calculate the total mass of the system using the derived equation.
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simplify and leave your answer with positive index
2^n-4×16^1+n
/
8^-n×4^-4n
Answer:
2¹⁶ⁿ
Explanation:
2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ
The above expression can be simplified as follow:
2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ
Recall:
16 = 2⁴
8 = 2³
4 = 2²
Thus,
2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ
= 2ⁿ¯⁴ × 2⁴⁽¹⁺ⁿ⁾ / 2³⁽¯ⁿ⁾ × 2²⁽¯⁴ⁿ⁾
= 2ⁿ¯⁴ × 2⁴⁺⁴ⁿ / 2¯³ⁿ × 2¯⁸ⁿ
Recall:
Mᵃ × Mᵇ = Mᵃ⁺ᵇ
2ⁿ¯⁴ × 2⁴⁺⁴ⁿ / 2¯³ⁿ × 2¯⁸ⁿ
= 2⁽ⁿ¯⁴⁾⁺⁽⁴⁺⁴ⁿ⁾ / 2¯³ⁿ⁺⁽¯⁸ⁿ⁾
= 2ⁿ¯⁴⁺⁴⁺⁴ⁿ/ 2¯³ⁿ¯⁸ⁿ
= 2⁵ⁿ / 2¯¹¹ⁿ
Recall:
Mᵃ / Mᵇ = Mᵃ¯ᵇ
2⁵ⁿ / 2¯¹¹ⁿ = 2⁵ⁿ¯⁽¯¹¹ⁿ⁾
2⁵ⁿ / 2¯¹¹ⁿ = 2⁵ⁿ⁺¹¹ⁿ
2⁵ⁿ / 2¯¹¹ⁿ = 2¹⁶ⁿ
Therefore,
2ⁿ¯⁴ × 16¹⁺ⁿ / 8¯ⁿ × 4¯⁴ⁿ = 2¹⁶ⁿ
What kind of things would Physics be able to answer? I. How does a hair dryer work? II. How does a lightning bolt form? III. How far will a cannon ball fly through the air? IV. What happens to a person after they die? I and III I, II, and III I only I, II, IV
Answer:
physics answers everything to understand biology you need to understand chemistry which is connected to physics which is connected to mechanics like fluid mechanics or quantum mechanics which is connected to math and all of that is science not particularly physics but physics can answer all of the questions you asked and more.
Explanation:
Answer:
sorry im only in fifth grade
Explanation:
the ratio of lengths,masses,densities and resitivitied of two wires are 1
:2, 1:1, 1:2 and 4:1 respectively. The of their resistances are??
The ratio of the resistances of the two wires is 1:8.
The resistance of a wire is given by the formula:
Resistance = (resistivity x length) / area
where,
resistivity = resistivity of the material (in ohm-meter)
length = length of the wire (in meters)
area = cross-sectional area of the wire (in square meters)
Let's assume that the first wire has a length of L meters and a resistivity of R ohm-meter. Therefore, the second wire will have a length of 2L meters and a resistivity of 4R ohm-meter (according to the given ratios). Also, the masses of the wires are in the ratio 1:1, so they have the same cross-sectional area.
Now, let's find the ratio of the resistances of the two wires:
Resistance of first wire = (R x L) / A, where A is the cross-sectional area
Resistance of second wire = (4R x 2L) / A
Therefore, the ratio of their resistances is:
(R x L / A) / (4R x 2L / A)
= (R x L x A) / (4R x 2L x A)
= 1/8
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When a cannon is fired, the accelerations of the cannon and cannonball are different, because the:____.
Answer:
Because the masses are different.
Explanation:
acceleration produced in the cannonball and cannon are different because the force applied on them are equal but their masses are different.
A 3kg crab was moving at 1 m/s in the shore before the ride pushed him for 5 seconds. If his final speed was 3 m/s, what force did the tide push him with?
Answer:
\(1.2\; {\rm N}\), assuming that all other forces on this crab were balanced.
Explanation:
The impulse \(J\) on an object is equal to the change in momentum \(\Delta p\). In other words:
\(J = \Delta p\).
If the mass \(m\) of the object stays the same (as in the case of this question), the change in momentum can be rewritten as:
\(J = \Delta p = m\, \Delta v\), where \(\Delta v\) is the change in velocity.
Impulse is also equal to the net force on the object \(F_{\text{net}}\) times the duration \(\Delta t\) over which the force is applied:
\(J = F_{\text{net}}\, \Delta t\).
Equate the two expressions for \(J\) to obtain:
\(F_{\text{net}}\, \Delta t = m\, \Delta v\).
In this question:
\(\Delta t = 5\; {\rm s}\) is the duration over which the force was applied,\(m = 3\; {\rm kg}\) is the mass of the crab, and\(\Delta v = (3 - 1)\; {\rm m\cdot s^{-1}} = 2\; {\rm m\cdot s^{-1}}\) is the change in the velocity of the crab.Rearrange \(F_{\text{net}}\, \Delta t = m\, \Delta v\) and solve for the net force \(F_{\text{net}}\):
\(\begin{aligned}F_{\text{net}} &= \frac{m\, \Delta v}{\Delta t} \\ &= \frac{(3\; {\rm kg})\, (2\; {\rm m\cdot s^{-1}})}{5\; {\rm s}} \\ &= 1.2\; {\rm kg \cdot m\cdot s^{-2}} \\ &= 1.2\; {\rm N}\end{aligned}\).
Assuming that all other forces on this crab are balanced, the net force on the crab would be equal to the force from the tide. Hence, the tide would have pushed the crab with a force of \(1.2\; {\rm N}\).
Find the x and y-components of the vector vector a =(15 m/s^ 2, 39 left of -y axis)
The x and y components of the vector a = 15 m/s^2 and 39 left of y axis are -14.4, 3.99 m/s^2.
What is a vector and how it is calculated out to be so?In science we need a method to define both direction and magnitude, vector is one such method.In this question is given vector a = 15 m/s^2 , and is 39 left to the y axis , for calculating x and y component.To calculate the x component , = -asin39 degree = -15 x 0.96 = -14.4 m/s^2.To calculate the y component of the vector , = -a cos39 degree= -15 x 0.266 = -3.99 m/s^2.So the x and y component of the vector are -14.4 m/s^2 and 3.99 m/s^2 respectively.To know more about vector visit:
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A block moves along a table at a constant velocity and then rolls off the edge of the table. The forces that should be included in a free body diagram for the ball as it falls to the ground are:
normal force from table
friction force from table
gravity
force of fall
Answer:
Gravity
Explanation:
When the ball is falling to the ground, there is only one force- gravity. In some cases, there may be air resistance, but that seems to be neglected here.
Normal force:
Cannot be included. Normal force is only applicable when object is on a surface, and it acts perpendicular to the surface. Since the ball is falling, there is no surface, and therefore no normal force. This question gives you unnecessary information, designed to trick you. Please remember when normal force is applicable.
Friction force:
Also only applicable when object is moving, and is on the table. Friction only applies when there is an applied force. There is no applied force when the ball is falling, so therefore no friction force.
Force of fall:
First of all, what is this? There is nothing called force of fall.
Gravity:
This is the only one that applies. Just draw a vector arrow from the bottom of the ball and label it mg (acceleration due to gravity).
How is heat measured?
Answer:
Measurement of heat is done in calories. One calorie is the amount of energy required to raise one gram of water one degree Celsius. To measure heat, you divide the change in temperature of a sample of water by the mass of the water.
Answer:
To measure heat, you divide the change in temperature of a sample of water by the mass of the water.
Explanation:
The way we can measure that heat is by using something called the Calorie.
Which of the following represents a state of depolarization of a neuron?
a. -70 mV
b. -70 mV to +30 mV
c. -70 mV to -85 mV
d. +30 mV to -70 mV
The state of depolarization of a neuron is represented by option d) +30 mV to -70 mV.
A neuron at rest has a resting membrane potential typically around -70 mV, which is maintained by the balance of ion concentrations across the cell membrane. Depolarization occurs when there is a temporary shift in the membrane potential towards a more positive value.
Option d) represents depolarization because it describes a change in the membrane potential from the resting potential of -70 mV to a more positive value of +30 mV and then back to the resting potential of -70 mV. This change in potential is characteristic of depolarization.
Option a) (-70 mV) represents the resting membrane potential, while options b) (-70 mV to +30 mV) and c) (-70 mV to -85 mV) do not accurately describe the state of depolarization, as they involve changes that move away from the resting potential rather than towards a positive value.
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a 41 g particle is moving to the left at 27 m/s . how much net work must be done on the particle to cause it to move to the right at 47 m/s ?
The net work required to cause the particle to move to the right at 47 m/s is 30.102 Joules.
To determine the net work required to change the particle's velocity from moving left at 27 m/s to moving right at 47 m/s, we can use the work-energy principle.
The work-energy principle states that the net work done on an object is equal to the change in its kinetic energy.
The kinetic energy of a particle is given by the equation:
KE = (1/2) * m * v^2
where m is the mass of the particle and v is its velocity.
Let's calculate the initial kinetic energy (KE_initial) and final kinetic energy (KE_final) of the particle.
Given:
Mass of the particle (m) = 41 g = 0.041 kg
Initial velocity (v_initial) = -27 m/s (negative sign indicates motion to the left)
Final velocity (v_final) = 47 m/s
Calculate the initial kinetic energy:
KE_initial = (1/2) * m * v_initial^2
= (1/2) * 0.041 * (-27)^2
= 0.5 * 0.041 * 729
= 14.9575 J
Calculate the final kinetic energy:
KE_final = (1/2) * m * v_final^2
= (1/2) * 0.041 * 47^2
= 0.5 * 0.041 * 2209
= 45.0595 J
Calculate the net work done:
Net work = KE_final - KE_initial
= 45.0595 - 14.9575
= 30.102 J
Therefore, the net work required to cause the particle to move to the right at 47 m/s is 30.102 Joules.
To learn more about work, click here:
https://brainly.com/question/18094932
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What is Humpty Dumpty's momentum if he has a mass of 56kg and is walking to the wall at a rate of 3 m/s?
Answer:
168
Explanation:
56 x 3
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