Answer:
1) a = 17.3 m/s²
2) Fnet = 37.5 N
3) T = 16.2 N
Explanation:
1)
When the bucket is at the top of the circle, there are two forces acting on it: the tension force (T) which pulls from the bucket, so it is directed downward, and the force due to gravity, that also points downward, so both forces add:\(F_{net} = T + m*g (1)\)According to Newton's 2nd Law, this net force must be equal to the mass of the bucket, times the acceleration.Now, due to the bucket is moving around a circle, there must be a force that keeps the bucket following a circular trajectory, that is the centripetal force, and always aims toward the center of the circle.This force is not a new type of force, it's always the net force that aims toward the center.At the top of the circle, because as the tension force as gravity point downward, the centripetal force, is just this net force.It can be showed that the centripetal force can be written as follows:\(F_{c} = m*a_{c} = m*\frac{v^{2}}{r} (2)\)
Since we have already said that a = ac (At the top of the circle), we can solve (1) for a, simplifying and replacing v and r by their values, as follows:\(a = a_{c} = \frac{v^{2} }{r} = \frac{(4.42m/s)^{2} }{1.13m} = 17.3 m/s2 (3)\)
2)
Once we got the value of a, applying Newton's 2nd law, we can find easily the net force on the bucket at the top of the circle, as follows:\(F_{net} = m*a = 2.17 kg * 17.3 m/s2 = 37.5 N (4)\)
3)
We have already said, that at the top of the circle, the net force is just the sum of the tension T and the force of gravity, as follows:\(F_{net} = T + m*g = 37.5 N (5)\)
Replacing m and g by their values, we can solve (4) for T:\(T = 37.5 N - m*g = 37.5 N - (2.17kg*98m/s2) \\ = 37.5 N - 21.3 N = 16.2 N (6)\)
Need help on number six. Need to use one of the kinematics equations
Since Stephanie serves the volleybal straight up this means that we have an uniform accelerated motion with acceleration equal to g, the acceleration of gravity. Assuming that upwards is the positive direction the acceleration g will be negative.
The equations we can use for an uniform accelerated motion are:
\(v_f=v_0+gt\)\(y-y_0=v_0t+\frac{1}{2}gt^2\)\(v^2_f-v^2_0=2g(y-y_0)\)a.
The velocity of the ball when it reachs its original height will have the same magnitude as the initial veloctity but different direction. Let's prove this using the third equation. In this case the initial velocity is 7.6 m/s, the initial and final height are 0.8 meters and the gravity has a magnitude of 9.8 m/s^2. Plugging this values and solving for the final velocity we have:
\(\begin{gathered} v^2_f-7.6^2=2(-9.8)(0.8-0.8) \\ v^2_f-7.6^2=0 \\ v^2_f=7.6^2 \\ v_f=\pm\sqrt[]{7.6^2} \\ v_f=\pm7.6 \end{gathered}\)Now, since the ball is falling in this instant we have to choose the negative sign; therefore the velocity when it reaches the original height is -7.6 m/s. (Notice how the magnitude is the same as the initial velocity like we stated above)
b.
To determine how long it takes to get to its maximum height we can use the first equation. We know that at this point the velocity has to be zero; otherwise the object would still be going up or it would be fallin already. Then we have that:
\(\begin{gathered} 0=7.6-9.8t \\ 9.8t=7.6 \\ t=\frac{7.6}{9.8} \\ t=0.776 \end{gathered}\)Therefore it would take 0.776 seconds (rounded to three decimals) for the ball to reach its maximum height.
A piece of wood 350 mm × 350 mm and 15 mm thick conducts heat through its thickness under steady state conditions. The rate of heat flow is measured to be 14.0 watts when the temperature difference is 28 C°. Determine the coefficient of thermal conductivity for this wood
The coefficient of thermal conductivity (k) is related to the rate of heat flow (Q), the cross-sectional area (A), the length (L), the temperature difference (ΔT), and the thermal resistance (Rth) by the following equation:
k = Q / (A * ΔT * L) = Rth * (A * ΔT)
Reorganizing this equation gives:
Rth = k / (A * ΔT)
The given information in the problem is:
Rate of heat flow (Q) = 14.0 watts
Thermal resistance (Rth) = (350 mm × 350 mm × 15 mm) / (14.0 watts) = 31.5 mm⁴/C
Temperature difference (ΔT) = 28°C
Substituting these values into the equation, we have:
k = Q / (A * ΔT) = 14.0 W / (0.35 m² * 28°C) = 1.94 W/mK
So the coefficient of thermal conductivity (k) for this wood is approximately 1.94 W/mK.
Explain how star clusters help us understand the stages of stellar evolution
Answer: More specifically, the term is typically defined as a period when gross domestic product (GDP) declines for two consecutive quarters. This prevailing line of thought was popularized by economist Julius Shiskin in 1974.
Explanation:
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How has information technology impacted the economy? Choose three answers.
Information technology has greatly impacted the economy, leading to increased productivity, efficiency, and innovation across industries.
The widespread adoption of information technology in the business world has led to a significant transformation in the way companies operate. Through the use of computers, software, and other digital tools, businesses are now able to streamline their operations, automate processes, and access vast amounts of data that can inform decision-making.
This has resulted in increased productivity, efficiency, and cost savings for companies. Additionally, information technology has facilitated the rise of new industries, such as e-commerce and digital marketing, while also enabling existing industries to adapt and innovate in response to changing market conditions.
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--The complete question is, How has information technology impacted the economy?--
Help me please I need it as soon as possible
Answer: B im sorry if its wrong
Explanation:
A parachutist is falling with terminal velocity. Which of the following statement is not correct?
a) Gravitational potential energy is converted into kinetic energy of the air
b) G.P.E is converted into K.E of the parachutist
c) G.P.E is converted into thermal energy of the air
d) G.P.E is converted into thermal energy of the parachutist
Answer: D i think
Explanation:
Explain the direct comparison method of measurement
Answer:
The direct comparison method of measurement is a method of comparison in which an unknown measurement is compared to a known measurement. This method is used to determine the size, weight, or volume of an unknown object by comparing it to an object whose size, weight, or volume is already known. For example, if you need to determine the weight of an object and have a known weight that is similar in size, you can compare the two objects and estimate the unknown weight. This method of measurement is often used in situations where a more precise measurement is not possible or practical.
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A 102 kg man climbs a 5.0-meter-high stair case at constant speed. How much work does he do?
Answer:
Work done = 4,998 J
Explanation:
Given:
Mass m = 102 kg
Height h = 5 m
Find:
Work done
Computation:
Work done = mgh
g = gravitational acceleration = 9.8m/s²
Work done = (102)(9.8)(5)
Work done = 4,998 J
Which is one feature of tropical wet-dry climates that tropical wet climates do not have?
savannas
rainforests
year-round rain
no change of seasons
Answer : A Savannas
Answer:
a
Explanation:
which particles are elctrically neutral
Explanation:i think its nuetrons
Explain why the coin is able to float on top of the water in this glass
Explanation:
Becuse the coin has a Lesser Density than water.
A Swimmer makes a turn at a pool wall which answer choice best describes the direction the swimmer accelerates when she pushes against the wall?
Answer:
a
Explanation:
away from
The direction the swimmer accelerates when she pushes against the wall is away from the wall.
What is Newton's third law ?Newton's third law states that, for every action, there is an equal and opposite reaction.
Here,
Given that, the swimmer is making a turn at the pool wall.
In order to take a turn, the swimmer have to exert a push against the wall with her feet, such that it is the action and she turning back is the reaction of it.
According to Newton's third law, for every action, there is an equal and opposite reaction. So, the wall exerts equal force back to the swimmer. As a result, the swimmer will be accelerated towards the opposite direction of the wall, thus making a turn.
Hence,
The direction the swimmer accelerates when she pushes against the wall is away from the wall.
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Liz rushes down onto a subway platform to find her train already departing. She stops and watches the cars go by. Each car is 8.60 m long. The first moves past her in 1.80 s and the second in 1.61 s. Find the constant acceleration of the train.
The constant acceleration of the train is 0.33 m/s.
The average velocity can be calculated by using the formula:
velocity = distance/time
For the 1st car, the velocity is calculated as:
v₁ = 8.60 m / 1.80 s = 4.78 m / s
For the second car, velocity can be calculated as:
v₂ = 8.60 m / 1.66 s = 5.34 m / s
Now we can solve for the acceleration using the formula:
v₂² = v₁² + 2 a d
Rewriting in terms of a, we get
a = (v₂² – v₁²) / 2 d
a = (5.34)² – (4.78)² / (2 × 8.6)
a = 0.33 m/s
Therefore, the constant acceleration of the train is 0.33m/s.
what is acceleration explain?
acceleration, fee at which speed modifications with time, in terms of each pace and course. A factor or an object shifting in a directly line is improved if it hastens or slows down. motion on a circle is improved even if the velocity is steady, due to the fact the route is constantly converting
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An object has mass M (uppercase) and is located at the origin of the coordinate system. A second object has mass m (lowercase) and is located at a distance r from the origin. This exercise explores the potential energy of the two-mass system. A spherical coordinate system is appropriate, but only the radial direction, r^, needs to be considered.
Enter a vector expression for the force, F⃗ , acting on mass m . The expression must be valid for all values of the radial coordinate, 0 0, and the zero of potential energy is taken as limr→∞UG=0.
Mass of the second object located at a distance r from the origin, r^ is the unit vector in the radial direction, and the negative sign indicates that the force
What is a system ?The System can refer to a set of interacting or interdependent components forming an integrated whole. The term can be applied to various fields, including physics, engineering, biology, and social sciences, among others. In physics, a system typically refers to a collection of objects or particles that are studied together, often with the goal of understanding the behavior of the system as a whole. In engineering, a system can refer to a group of components that work together to perform a specific function, such as an electrical power grid or an automobile engine. In biology, a system can refer to an organism or group of organisms that interact with their environment, such as an ecosystem or the human body.
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A softball player swings a bat, accelerating it from rest to 2.2 rev/srev/s in a time of 0.20 ss . Approximate the bat as a 2.3-kgkg uniform rod of length 0.96 mm , and compute the torque the player applies to one end of it.
Answer:
83.168 Nm
Explanation:
I=mass of bat* ( length )^2 /3
Moment of inertia from one end = 2.2 * (0.96)^2 / 3.
Ang. acc. = 2.2×2 pi / 0.2 = 22pi
Torque = 2.3 * (0.96)^2 / 3 * 22 pi = 83.168 Nm SI units
A cyclist accelerates from rest to 8 m/s in 3 seconds. How far did the cycles travel in 3 seconds?
Answer:
\( \boxed{\sf Distance \ travelled = 12 \ m} \)
Given:
Initial speed (u) = 0 m/s (Accelerates from rest)
Final speed (v) = 8 m/s
Time taken (t) = 3 seconds
To Find:
Distance travelled by cyclist (s)
Explanation:
From equation of motion of object moving with uniform acceleration in straight line we have:
\( \boxed{ \bold{s = (\frac{v + u}{2} )t}}\)
By substituting value of v, u & t in the equation we get:
\( \sf \implies s = ( \frac{8 + 0}{2} ) \times 3 \\ \\ \sf \implies s = \frac{8}{2} \times 3 \\ \\ \sf \implies s = 4 \times 3 \\ \\ \sf \implies s = 12 \: m\)
\( \therefore\)
Distance travelled by cyclist (s) = 12 m
Answer:
s(distance) =36m
Explanation:
u(initial velocity) =0 m/s
a =8 m/s^2
t=3s
s=ut+1/2at^2
s=1/2(8)(3)^2
s=1/2(8)(3)(3)
s=4(9)
s=36m
M
An 80% furnace's discharge air temperature is 125 degrees F and is adding heat to a space at the rate of 80,000 BTU's an hour. What is the input rating of the furnace?
a. 60,000 Btu's
b. 120,000 Btu's
c. 75,000 Btu's
d. 100,000 Btu’s
D. The input rating of the furnace is determined as 100,000 BTU.
What is input rating?
Input power rating means the power, expressed in Watts or one of its multiples, for which the energy storage unit has been designed to operate at nominal conditions.
eff = (output rating / input rating) x 100%
80/100 = 80,000 BTU / input rating
0.8 = 80,000 BTU / input rating
input rating = 80,000 BTU/0.8
input rating = 100,000 BTU
Thus, the input rating of the furnace is determined as 100,000 BTU.
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a current of a 6 flows through a light bulb for 12 s, how many coulombs of charge pass through the light bulb during this time
A current of a 6 flows through a light bulb for 12 s. The total charge that passes through the light bulb during the given time is 72 coulombs.
To calculate the total charge that passes through the light bulb, we need to use the formula Q = I * t, where Q represents the charge in coulombs, I represents the current in amperes, and t represents the time in seconds.
Step 1: Identify the known values:
Current (I) = 6 amperes
Time (t) = 12 seconds
Step 2: Calculate the charge using the formula:
Q = I * t
Step 3: Substitute the known values into the formula:
Q = 6 amperes * 12 seconds
Q = 72 coulombs
Therefore, the total charge that passes through the light bulb during the given time is 72 coulombs.
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An airplane is flying through a thundercloud at a height of 2010 m. (A very dangerous thing to do because of updrafts, turbulence, and the possibility of electric discharge.) If there is a charge concentration of 46.9 C at height 4090 m within the cloud and −59.7 C at height 570 m, what is the magnitude of the electric field E at the aircraft? The Coulomb constant is 8.98755 × 109 N · m2 /C 2 . Answer in units of V/m.
Answer:
The value is \(E = 3.5619 *10^{5} V/m \)
Explanation:
From the question we are told that
The height of the airplane is \(h = 2010 \ m\)
The first charge concentration is \(Q = 46.9 \ C\)
The height of the first charge concentration is \(h_1 = 4090 \ m\)
The second charge concentration is \(Q_2 = −59.7 \ C\)
The height of the second charge concentration is \(h_1 = 570 \ m\)
The electric field due to the first charge concentration is
\(E_1 = \frac{k * |Q_1|}{(h_1 -h)^2}\)
Here k is the Coulomb constant given in the question
\(E_1 = \frac{8.98755*10^9 * |46.9|}{(4090 - 2010)^2}\)
\(E_1 = 9.7429 *10^{4} \ V/m\)
The electric field due to the second charge concentration is
\(E_2 = \frac{k * |-59.7|}{(h -h_2)^2}\)
\(E_2 = \frac{8.98755*10^9 * |-59.7|}{(2010 - 570)^2}\)
\(E_2 = 2.5876 *10^{5} V/m\)
Generally the superposition principle can be applied in this question as follows
\(E = E_1 + E_2\)
=> \(E = 9.7429 *10^{4}+ 2.5876 *10^{5} \)
=> \(E = 3.5619 *10^{5} V/m \)
It take you 11.3 minutes to walk an average velocity of 1.2 m/s to the north from the bus stop to the museum entrance what is your displacement
ANSWER
813.6 m
EXPLANATION
The average velocity is:
\(v_{\text{avg}}=\frac{\Delta x}{\Delta t}\)Where Δx is the displacement.
In this problem we have vavg = 1.2 m/s and time 11.3min. First we have to convert the time from minutes to seconds, for the units to be consistent with the velocity's units:
\(\begin{gathered} 1\min =60s \\ \Delta t=11.3\min \cdot\frac{60s}{1\min }=678s \end{gathered}\)Now, solving the equation above for Δx :
\(\Delta x=v_{\text{avg}}\cdot\Delta t\)And replacing the values:
\(\Delta x=1.2\frac{m}{s}\cdot678s=813.6m\)We found that the displacement is 813.6 meters
3. A sprinter leaves the starting blocks with an acceleration of 4.5 m/s2. What is the
final velocity of the sprinter after 4 seconds?
ime=change in
Hi there! :)
\(\large\boxed{v_{f} = 18 m/s}\)
Use the following kinematic equation to solve for the final velocity:
\(v_{f} = v_{i} + at\)
In this instance, the runner started from rest, so the initial velocity is 0 m/s. We can rewrite the equation as:
\(v_{f} = at\)
Plug in the given acceleration and time:
\(v_{f} = 4.5 * 4 = 18 m/s\)
The type of brightness in which all
stars being observed are the same
distance from Earth is known as
which type of brightness?
A. absolute brightness.
B. apparent brightness.
C. obvious brightness.
D. compositional brightness.
Hi if you know the answer could you please put it below thank you x
Answer:
If the athlete speeds up between 2 points there is an increase of the athlete's "kinetic" energy
I guess this would imply a decrease in the athlete's chemical energy because the energy has to originate somewhere
You decide to use your body as a Carnot heat engine. The operating gas is in a tube with one end in your mouth (where the temperature is 37.0 ∘C) and the other end at the surface of your skin, at 30.0 ∘C.
How much heat input is needed to accomplish the lift?
The question is incomplete, I think the question is:
You decide to use your body as a Carnot heat engine. The operating gas is in a tube with one end in your mouth (where the temperature is 37.0 ∘C) and the other end at the surface of your skin, at 30.0 ∘C.(a) What is the maximum efficiency of such a heat engine? Would it be a very useful engine? (b) Suppose you want to use this human engine to lift a 2.50kg box from the floor to a tabletop 1.20m above the floor. How much must you increase the gravitational potential energy, and how much heat input is needed to accomplish this? (c) How many 350-calorie (those are food calories, remember) candy bars must you eat to lift the box in this way? Recall that 80% of the food energy goes into heat.
We need to input about 1278 J of heat into the heat engine to lift the box, and we need to eat about 1.09 candy bars to lift the box
The Carnot heat engine is an idealized thermodynamic cycle that operates between two heat reservoirs and achieves the maximum possible efficiency. It is a theoretical model used to study the behavior of real-world heat engines and provides a benchmark for their performance.
a) The maximum efficiency of a Carnot heat engine is given by the equation:
η = 1 - Tc/Th
where η is the efficiency, Tc is the temperature of the cold reservoir (in this case, 30.0 °C), and Th is the temperature of the hot reservoir (in this case, 37.0 °C).
Plugging in the numbers, we get:
η = 1 - 303 K/310 K ≈ 0.023 or 2.3%
This is a very low efficiency, and the heat engine would not be very useful for doing work.
b) To lift a 2.50 kg box from the floor to a tabletop 1.20 m above the floor, we need to increase its gravitational potential energy by:
ΔPE = mgh
where m is the mass of the box, g is the acceleration due to gravity (9.81 m/s^2), and h is the height the box is lifted.
Plugging in the numbers, we get:
ΔPE = (2.50 kg)(9.81 m/s^2)(1.20 m) ≈ 29.4 J
To accomplish this, we need to input heat Q into the heat engine. Since the efficiency of the heat engine is only 2.3%, the amount of heat needed is:
Q = ΔPE/η = (29.4 J)/(0.023) ≈ 1278 J
So we need to input about 1278 J of heat into the heat engine to lift the box.
c) To input 1278 J of heat into the heat engine, we need to consume food with a total energy content of:
E = Q/ηfood
where ηfood is the efficiency of converting food energy into heat energy. Since 80% of the food energy goes into heat, we have:
ηfood = 0.80
Plugging in the numbers, we get:
E = (1278 J)/(0.80) ≈ 1598 J
To convert this energy content into calories, we divide by 4.184 J/cal, giving:
E = 381 cal
Finally, to determine the number of 350 calorie candy bars needed, we divide the total energy content by the energy content per candy bar:
N = E/Ebar
where Ebar is the energy content of a single candy bar (350 cal). Plugging in the numbers, we get:
N = (381 cal)/(350 cal/bar) ≈ 1.09 bars
So we need to eat about 1.09 candy bars to lift the box.
Therefore, To lift the box, we must put approximately 1278 J of heat into the heat engine and consume approximately 1.09 candy bars.
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what is output light frequency of material used before doubling
The output light frequency of material used before doubling will be 0.056 Hz.
What is frequency?The term frequency refers to the number of repetitions that there will be for a certain unit of time. Frequency is usually measured in hertz (Hz). The hertz is going to tell us the number of frequencies per second, which would then be a cycle per second.
The frequency can be calculated by counting the number of occurrences within a time interval and dividing by the time that elapsed in that period. So the calculation will be:
1 Hz=\(\frac{1}{s}\)
A term that is related to the frequency and that is reciprocal to it is the period, which refers to the duration of time of a cycle in an event that is going to be repeated.
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What is the method of heat energy transfer involved when a thermometer is heated by warm water?
1.Conduction?
2.Convection?
Answer:
it is number 1
Explanation:
it is conduction becuse it heat up
If the velocity of a particle is nonzero, can the particle’s acceleration be zero? Explain.
If a particle's velocity is nonzero, then its acceleration can be zero, because acceleration is the rate of change of velocity. If the velocity is constant and does not change, the acceleration is zero.
What is acceleration?The rate of change of an object's velocity with respect to time is defined as acceleration. Vector quantities are accelerations. The orientation of an object's acceleration is determined by the orientation of its net force.
Because velocity is both a speed and a direction, there are only two ways to accelerate: modify your speed or your direction—or both.
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A penny sinks to the bottom of a wishing well
What type of frictional force is that?
The frictional force involved when a penny sinks to the bottom of a wishing well is primarily due to viscous drag or fluid friction. As the penny moves through the water, it experiences resistance from the surrounding fluid. This resistance is caused by the frictional forces between the water molecules and the penny's surface.
how are the magnetic fields of ns sn nn ss different?
The main difference between the NS/SN and NN/SS configurations is the orientation of the magnetic field lines and how they interact with other magnets.
What is Magnetic fields?
Magnetic fields are areas in space where a magnetic force is present. Magnetic fields are generated by electric currents, either natural or man-made. Magnetic fields surround magnets, and can also be generated by electric currents, such as those created by electric motors and power lines. Magnetic fields can also be found in the Earth's atmosphere and in space.
The magnetic fields of NS (north-south) and SN (south-north) configurations are essentially the same since they both represent the same pole alignment. Similarly, the magnetic fields of NN (north-north) and SS (south-south) configurations are also the same, but they are different from the NS and SN configurations.
In the case of NS and SN configurations, the magnetic field lines flow from the north pole to the south pole, creating a uniform magnetic field in the space between the two poles. This is the typical configuration for most magnets.
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Which light behavior does this reperesent
Answer:
Refraction
Explanation:
because the pencil looks magnified or distorted in water
Answer:
(B) Refraction
Explanation:
the fact or phenomenon of light being deflected in passing obliquely through the interface between one medium and another or through a medium of varying density.
In physics, refraction is the redirection of a wave as it passes from one medium to another. The redirection can be caused by the wave's change in speed or by a change in the medium.
Hope this helps!! :) (Also there is an example attached :D)