The frictional force acting on the 2 kg hockey puck on the frozen pond with initial speed of 20 m/s, which slides 80 m before coming to rest, is approximately 10 N.
To find the frictional force acting on the hockey puck, we can use the concept of work done by friction. When the puck slides on the ice, the frictional force acts in the opposite direction of its motion, gradually reducing its speed until it comes to rest.
The work done by the frictional force can be calculated using the equation \(W = F.d\), where W represents the work done, F represents the force, and d represents the distance.
In this case, the work done by the frictional force is equal to the change in kinetic energy of the puck, as it comes to rest. The initial kinetic energy of the puck is given by \((\frac{1}{2})mv^2\), where m represents the mass of the puck (2 kg) and v represents the initial speed (20 m/s). The final kinetic energy is zero since the puck comes to rest.
Setting the work done by the frictional force equal to the change in kinetic energy and rearranging the equation, we get \(F.d = (\frac{1}{2})mv^2\).
Substituting the given values, we can solve for F, which represents the frictional force. The calculated value is approximately 10 N.
Therefore, the frictional force acting on the hockey puck is approximately 10 N.
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2. How much heat is needed to vaporize 1.22 kg of helium?
It would take 6416.8 kJ of heat to vaporize 1.22 kg of helium at its boiling point.
What is helium?
Helium is a chemical element with the symbol He and atomic number 2.
The amount of heat needed to vaporize a substance can be calculated using the formula:
Q = m * ΔHv
Where
Q is the amount of heat needed M is the mass of the substance being vaporized ΔHv is the heat of vaporization for the substanceFor helium, the heat of vaporization is 21.1 kJ/mol at its boiling point of -268.9°C. The molar mass of helium is 4.003 g/mol.
To calculate the amount of heat needed to vaporize 1.22 kg of helium, we first need to convert the mass to moles:
1.22 kg He * (1000 g / 1 kg) * (1 mol / 4.003 g) = 304.4 mol He
Then, we can use the formula to calculate the amount of heat needed:
Q = m * ΔHv = 304.4 mol * 21.1 kJ/mol = 6416.8 kJ
Therefore, it would take 6416.8 kJ of heat to vaporize 1.22 kg of helium at its boiling point.
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A car starting from rest accelerated at a rate of 0 .5 m/s up to 2 km what would be the final velocity of the car and how much time would it take to cover 1.6
Using third equation of kinematics
\(\\ \rm\longmapsto v^2=u^2+2as\)
\(\\ \rm\longmapsto v^2=0^2+2(0.5)(1.6)\)
\(\\ \rm\longmapsto v^2=1.6\)
\(\\ \rm\longmapsto v=\sqrt{1.6}\)
\(\\ \rm\longmapsto v=0.4m/s\)
Now using 1st equation of motion
\(\\ \rm\longmapsto v=u+at\)
\(\\ \rm\longmapsto t=v-u/a\)
\(\\ \rm\longmapsto t=\dfrac{0.4-0}{0.5}\)
\(\\ \rm\longmapsto t=\dfrac{4}{5}\)
\(\\ \rm\longmapsto t=0.8s\)
Answer:
Using third equation of kinematics
\(\begin{gathered}\\ \rm\longmapsto v^2=u^2+2as\end{gathered}\)
⟼v
2
=u
2
+2as
\(\begin{gathered}\\ \rm\longmapsto v^2=0^2+2(0.5)(1.6)\end{gathered}\)
⟼v
2
=0
2
+2(0.5)(1.6)
Two runners start at the same point and jog at a constant speed along a straight path. Runner A starts at time t = 0 s, and Runner B starts at time t = 2.5 s. The runners both reach a distance 64 m from the starting point at time t = 25 s. If the runners continue at the same speeds, how far from the starting point will each be at time t = 45 s?
Answer:
See explanation below
Explanation:
First thing to do here, is to calculate the speed of each runner. The problem states that both runners jog at a constant speed. We are given data for both runners, the starting time and the time where both of them reach the same distance.
With these data we can calculate the speed of both runners. Let's do it with runner 1:
If by t = 25 s it reach a 64 m of distance, then his speed:
V = d/t (1)
Replacing we have:
V₁ = 64 / 25 = 2.56 m/s
With this speed we can calculate the distance at t = 45 s so:
d = V * t (2)
d₁ = 2.56 * 45
d₁ = 115.2 mSo Runner 1 will be at 115.2 from the starting point at 45 seconds.
For runner 2, he began at t = 2.5 s, but he reach the 64 m at 25 s, so his speed would be:
V₂ = 64 / (25-2.5) = 2.84 m/s
And the distance at t = 45 s
d₂ = 2.84 * 45
d₂ = 127.8 mRunner 2 is 127.8 m from the starting point at 45 seconds.
Hope this helps
can someone please answer this question in simple terms and not over complicated. i know nothing about the subject.
If you want to make a strong battery, should you pair two metals with high electron affinities, low electron affinities, or a mix? Explain your answer. (4 points)
Answer:
Mix
Explanation:
A battery has two electrodes, at one end it has the anode and the other end has the cathode. Electrons travel through the circuit from the anode (negative) to the cathode (positive), and this is the driving force that provides electricity to flow through circuits.
The anode needs to have a low electron affinity because it needs to readily release electrons, and the cathode needs to have a high electron affinity because it needs to readily accept electrons.
: Prove that the following paraboloid coordinate system (u, v, ϕ):
x = u.v cosϕ
y = u.v sinϕ
z = 1/2 (u2 - v2)
is orthogonal, and then find the following:
1. The scale factors
2. Gradient
3. Divergent
4. Curl
5. Laplacian
The given paraboloid coordinate system (u, v, ϕ) with x = u.v cosϕ,
y = u.v sinϕ , z = 1/2 (u2 - v2) is orthogonal. The gradient is ∇f = (∂f/∂u) e_u + (∂f/∂v) e_v + (∂f/∂ϕ) e_ϕ ; divergent is ∇²f = ∇ · (∇f) ; curl is (∇ x) and laplacian is (∇²).
We can prove that the paraboloid coordinate system (u, v, ϕ) is orthogonal, by computing the dot products of the basis vectors. The basis vectors in this coordinate system are given by:
e_u = (∂x/∂u, ∂y/∂u, ∂z/∂u) = (v cosϕ, v sinϕ, u)
e_v = (∂x/∂v, ∂y/∂v, ∂z/∂v) = (u cosϕ, u sinϕ, -v)
e_ϕ = (∂x/∂ϕ, ∂y/∂ϕ, ∂z/∂ϕ) = (-u.v sinϕ, u.v cosϕ, 0)
By Taking the dot products, we find that e_u · e_v = 0, e_v · e_ϕ = 0, and e_ϕ · e_u = 0. This proves that the basis vectors are mutually perpendicular, and therefore, the coordinate system is orthogonal.
Next, we can calculate the gradient (∇) in this coordinate system. The gradient of a scalar function f(u, v, ϕ) is given by:
∇f = (∂f/∂u) e_u + (∂f/∂v) e_v + (∂f/∂ϕ) e_ϕ
The divergence (∇ ·) and curl (∇ x) can be computed using the standard formulas in terms of the basis vectors. Finally, the Laplacian (∇²) can be obtained by taking the divergence of the gradient:
∇²f = ∇ · (∇f)
Thus, By evaluating these operations in the given coordinate system using the appropriate partial derivatives, we can determine the gradient, divergent, curl, and Laplacian for any scalar function in the (u, v, ϕ) coordinates.
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Which planets are generally referred to as the ice giants?.
Answer:
The correct answer is Uranus and Neptune
Ft-Fg= ma solve for Ft?
What is the speed of a wave that has a wavelength of 0.579 m, an amplitude of 0.733 m, and frequency of 4.00 Hz?0.145 m/s6.91 m/s2.93 m/s2.32 m/s
v(speed) = wavelenght x frequency
v = 0.579 m x 4 hz = 2.32 m/s
The body needs small amounts of ________ to help enzymes break down proteins.
Answer:
I would say vitamin B-6
Explanation:
it is also known as pyridoxine. it helps ebzymes break down protein and carry the dismantled amino acids to the blood stream
Hope this helps ✌✌
Answer:
The body needs small amount of vitamin B-6 to help enzymes break down protein and carry the dismantled amino acids to the blood stream.
What does Newton’s law of universal gravitation state?
Answer
Newton's law of gravitation, statement that any particle of matter in the universe attracts any other with the force varying directly the product of the masses and inversely as the square of the distance between them. ...
What is the total energy that the ball has when the launcher is in the ""ready to launch"" position with the spring fully compressed?
Subject: Science Help is appreciated! No links pls! Will mark brianliest if correct! Thxs! :D
Which of these is NOT an influence on climate?
A. large bodies of water
B. large cities
C. ocean currents
D. weather
The wheels of a car have radius 12 in. and are rotating at 600 rpm. Find the speed of the car in mi/h.
Answer:
21.4 mph
Explanation:
Circumference of tire in FEET = pi * d = pi * 1 ft = pi feet
pi feet x 600 rot/min * 60 min /hr * 1 mile / 5280 feet = 21.4 mph
A helicopter changes its velocity from 22.0 m/s [E] to 10.0 m/s [W] during a time interval of 8.0 s. What was the helicopter’s average acceleration?
The average acceleration of the helicopter, given that it changes its velocity from 22.0 m/s to 10.0 m/s is –1.5 m/s²
How do I determine the average acceleration ?We understood that acceleration is defined as the change in velocity with time i.e
a = (v – u) / t
a is the acceleration v is the final velocity u is the initial velocity t is the timeWith the above formula, we can determine the average acceleration of the helicopter. Details below
The following data were obtained from the question:
Initial velocity (u) = 22.0 m/sFinal velocity (v) = 10.0 m/sTime (t) = 8.0 s Average acceleration (a) =?a = (10 – 22) / 8
a = –12 / 8
a = –1.5 m/s²
Thus, we can conclude that the average acceleration is –1.5 m/s²
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Suppoe that a high-energy neutron i travelling at a peed of 18 million m/. Find it energy in MeV (million electron volt (eV))
The energy of the high energy neutron is 940.51 MeV.
Speed is nothing but the distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity with the SI unit meter/second.
We know that mass of the neutron m₀ = 939.6 MeV/c²
A high energy neutron is travelling at a speed of 18 million m/s.
Given that, v = 1.8 * 10⁷ m/s
The energy of neutron is calculated with the formula, m₀* c²/√(1 - v²/c²)
⇒ 939.6 * (3* 10⁸)²/√[1 - (1.8 * 10⁷)²/(3* 10⁸)²]
⇒ 940.51 MeV
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Two charges are separated by 1.68 cm. Object A has a charge of 5.0 μ C , while object B has a charge of 7.0 μ C . What is the force on Object A?
The force on Object A = 1116.07 N
Explanation:The separation between the two charges, d = 1.68 cm
d = 1.68/100 m
d = 0.0168 m
The charge on object A
\(\begin{gathered} q_A=5.0\mu C \\ q_A=5\times10^{-6}C \end{gathered}\)The charge on object B
\(\begin{gathered} q_B=7.0\mu C \\ q_B=7\times10^{-6}C \end{gathered}\)The electric constant
\(k=9\times10^9Nm^2C^{-2}\)The force on on the charge A is calculated as shown below:
\(\begin{gathered} F_A=\frac{kq_Aq_B}{d^2} \\ F_A=\frac{9\times10^9\times5\times10^{-6}\times7\times10^{-6}}{0.0168^2} \\ F_A=\frac{0.315}{0.00028224} \\ F_A=1116.07N \end{gathered}\)The force on Object A = 1116.07 N
Where is the south pole of the bar magnet, based on the magnetic field lines
shown?
A. On the right end
B. On the bottom edge
C. On the left end
D. On the top edge
SUBMIT
it would be on the right end I believe. Forgive me if I am incorrect.
Analyze the chemical reaction below
16 g CH4 + 64 g 02 - 44 g CO2 + 36g H2O
Explain the law of conservation of mass and describe how the equation represents the law of conservation of mass.
Answer:
Please find the answer in the explanation.
Explanation:
Given that 16 g CH4 + 64 g 02 - 44 g CO2 + 36g H2O
To explain the law of conservation of mass and describe how the equation represents the law of conservation of mass, let me first start from law.
The law state that: mass can neither be created nor destroyed.
The mass of each element at the reaction side must be equal or the Same with the magnitude of mass at the product
The equation represents the law of conservation of mass because the mass of molecules at the right hand side is equal to or balance with the molecules at the left hand side. For example, the number of Oxygen, and othe elements are the at both side.
1. Which of the following is
a reason you should drink water everyday?
A. Water praites uitamins.
B. Water proldes nutrients for daily functions
c Water praides energy
D. Water helps ashion gons and the spinal
cord
.
Answer:
B
Explanation:
Water is essential to most bodily functions.
Calculate the power if work is 9000 joules and time is 60 seconds
Answer:
150w
Explanation:
power = workdone/time
9000/60
150w
A boy threw a ball upward and it took 3 sec to reach the highest point. Determine the initial velocity of the ball.
Answer:
V initial = 29.4 m.s²
Explanation:
( Using the laws of motion)
V final = V initial + Acceleration × time
0 = V initial + ( -9.8)(3)
29.4 = V initial
* I took upward as positive that's why I substituted -9.8 *
* for V final we know that at maximum height the ball is not moving thats why is = 0 *
Diana raises a 1000 N piano using a set of pulleys. She use 250 N force to pulls in 20.0 m of rope. What is the distance
Using a set of pulleys, Diana hoists a piano weighing 1000 N. To draw in 20.0 m of rope, she applies 250 N of force. The separation is 5m.
given,
Load force = 1000 N
Effort distance = 20.0 m
Effort force=250N
If this were an ideal machine, we could calculate the force Diana applied as follows:
The equation that follows links load force to effort force for a perfect machine;
Effort force × effort distance = Load force × Load distance
When we enter the parameters into the formula, we get;
Load distance = Effort force × effort distance/Load force
=250×20/1000
= 5 m
Load distance = 5 m
In mechanics, force is any action that tends to maintain or alter the motion of a body or distort it. The concept of force is commonly explained in terms of Isaac Newton's three laws of motion, as stated in his Principia Mathematica (1687). Newton's first principle states that a body at rest or moving at a uniform rate in a straight line will remain in that state until some force is applied to it. The second law states that when an external force acts on a body, it causes an acceleration (change in velocity) of the body in the direction of the force.
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5. What is the integral of the function x^4 in the interval from c to d?
90 POINTS!!!!!!!!!!!!!!!
I REALLY NEED WITH THIS ONE!!!!!!!!!!
Answer:
See below ~
Explanation:
Integrating x⁴ from c to d
\(\int\limits^c_d {x^{4} } \, dx\)\(\int\limits^c_d {\frac{x^{4+1} }{4+1} } \, dx\)\(\frac{x^{5} }{5} + C\) [Final answer]difference between basic units and derived unit
Answer:
Basic units=those units of measurement which do not depend upon any other units are called basic units. Example length, mass, time, current etc.
Derived units=those units which are expressed in terms of fundamental units are called derived units. Example area, volume, density etc.
A carpenter measured the lengeth of a small piece of timber as 24.6cm .Calculate the relative error in the measurement if the true length is 24.5cm
ANSWER:
0.4081%
Explanation:
Difference=24.6-24.5=0.1
Relative error = 0.1/24.5*100=0.4081%
Relative error is equal to the = difference between both the values/The true value *100
Bài 1. Ở nhiệt độ 17°C, có bao nhiêu phần trăm phân tử khí có các vận tốc sai khác
không quá 0,5m/s, các vận tốc sau đây? Lấy g=0,029kg / mol
a. v=v; b. v=0.lv
Answer:
hi i only dont understand want ur saying
The diagram models a sound wave traveling through a liquid.
Which diagram models how the sound wave will change when it enters a gas?
Answer:
The correct option is;
A.
Explanation:
The speed of sound varies with the medium within which the sound propagates. Therefore, the wavelength of the sound wave changes as it moves from one medium to another
The speed of sound in liquid which is given by the square root of the ratio of the bulk modulus (compression resistance) to the density of the liquid is generally faster than in gas, therefore, given that the frequency of the sound source in constant, the wavelength, λ, given as λ = v/f, which is therefore, directly proportional to the speed of sound, also reduces, which is represented by a reduced distance between successive crest as seen in figure A.
How fast did Newton decide a cannon ball shot out in order to escape Earth’s gravity?
Plugging in for the Earth's mass and for G, we have 11.2 km/s for the escape velocity for an object launched from the Earth's surface. This is about 25,000 miles per hour
How much force is needed to stop a 100-kg football player if she negatively accelerates (decelerates) at 20 m/s2? responses 5 n 5 n 20 n 20 n 200 n 200 n 2000 n
200N force is needed to stop a 100-kg football player if she negatively accelerates (decelerates) at 20 m/s2
we have given in the statement
mass=100kg
acc= -20m/s^2
F=?
from newton's formula, we will find force
F=ma
F=100kg×20m/s^2
F=200N
The SI unit of force is the Newton. It is described as the force that propels a mass of 1 kilogram at an acceleration of 1 meter per second squared. Its sign is the capital N, which is expressed as 1N=1 kg m s2.A body's rate of linear momentum change is directly proportional to the applied force, and the change occurs in the direction of the applied force. An illustration of this relationship is When a truck and a vehicle are pushed with the same effort, it is noticeable that the automobile accelerates more quickly than the truck since its mass is lower.To know more about force visit : https://brainly.com/question/1675020
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Three balls of equal volumes are dropped from rest simultaneously from a height of 40 m. The masses of the balls are 5kg, 10kg, and 15kg. a) describe and explain the order in which the balls impact the ground at a time t later. b) compare the velocity of the balls when they hit the ground.
Given:
• Height = 40 m
,• Mass of ball 1 = 5 kg
,• Mass of ball 2 = 10 kg
,• Mass of ball 3 = 15 kg
Given that the three balls have equal volumes and are dropped from rest, let's answer the following questions:
• (a). Describe and explain the order in which the balls impact the ground at a time t.
To