Let m be the mass of the puck. Then the upward normal force exerted by the ice has magnitude n = mg (since Newton's law says the net force on the puck in the vertical direction is ∑ F = n - mg = 0).
Then the frictional force applies a force of magnitude f = 0.052mg, and Newton's second law says the net horizontal force acting on the puck is
∑ F = -f = ma
Solve for the acceleration a :
-0.052mg = ma
a = -0.052 (9.8 m/s²)
a ≈ -0.510 m/s²
Assuming constant friction, the puck slides to a rest over a distance x such that
0² - (5.30 m/s)² = 2ax
Solve for x :
x = -(5.30 m/s)²/(2a)
x = -(5.30 m/s)² / (2 (-0.510 m/s²))
x ≈ 27.6 m
Answer:
27.47 meters
Explanation:
The change in kinetic energy of the puck is ΔK = [tex]K_{f} -K_{i} = -mv{_1}^{2} /2[/tex]
The work done on the puck by the force of friction is
[tex]W_{f} = F_{f}dcos(180) = (Mu)Nd = - (Mu)mgd[/tex]
Knowing that
[tex]W_{f}[/tex] = ΔK
obtain
[tex]-(Mu)mgd = -mv_{i}^{2} /2[/tex]
which is:
[tex]d = v_{i}^{2} /2(Mu)g = (5.30)^{2} / 2(0.052)(9.8) =[/tex] 27.47 meters
The law of ellipse simple explanation
Kepler's first law - sometimes referred to as the law of ellipses - explains that planets are orbiting the sun in a path described as an ellipse. ... The resulting shape will be an ellipse. An ellipse is a special curve in which the sum of the distances from every point on the curve to two other points is a constan
An object with a mass of 2 kg is moving with a velocity of 3 m/s when a 5 N net force
acts upon it. What will the object's velocity be if the force acts for 7 S?
By Newton's second law, the net force exerted on the object makes it undergo an acceleration a such that
(2 kg) a = 5 N
so that it is accelerated a = 2.5 m/s^2.
Since the object starts with velocity 3 m/s, after 7 s its acceleration will make it speed up to
3 m/s + (2.5 m/s^2) (7 s) = 20.5 m/s
An oil droplet is levitated and held at rest in a region where the electric field is 1.4x104 N/C directed vertically downwards. If the droplet has 3 excess electrons attached, what is its mass
W = m g weight of drop
W = q E
m = q E / g = = 3 e E / g
m = 3 * 1.6E-19 * 1.4E4 / 9.8 = 6.96E-16 kg
How much work is the adult completing
1.6j
0.6j
20j
1,500j
I NEED THIS DONE FAST
Answer:
20j
Explanation:
espero haverte
ayudado
A boat is traveling at an initial velocity of 2.7 meters per second in the positive direction. It accelerates at a rate of 0.15 meters per second squared for 12 seconds. What is the final velocity of the boat?
Answer:
[tex]\boxed {\boxed {\sf 4.5 \ m/s \ in \ the \ positive \ direction}}[/tex]
Explanation:
We are asked to find the final velocity of the boat.
We are given the initial velocity, acceleration, and time. Therefore, we will use the following kinematic equation.
[tex]v_f= v_i + at[/tex]
The initial velocity is 2.7 meters per second. The acceleration is 0.15 meters per second squared. The time is 12 seconds.
[tex]v_i[/tex]= 2.7 m/s a= 0.15 m/s²t= 12 sSubstitute the values into the formula.
[tex]v_f = 2.7 \ m/s + (0.15 \ m/s^2)(12 \ s)[/tex]
Multiply the numbers in parentheses.
[tex]v_f= 2.7 \ m/s + (0.15 \ m/s/s * 12 \ s)[/tex]
[tex]v_f = 2.7 \ m/s + (0.15 \ m/s *12)[/tex]
[tex]\v_f=2.7 \ m/s + (1.8 \ m/s)[/tex][tex]v_f=2.7 \ m/s + (1.8 \ m/s)[/tex]
Add.
[tex]v_f=4.5 \ m/s[/tex]
The final velocity of the boat is 4.5 meters per second in the positive direction.
How do organisms interact?
Answer:
Individual organisms live together in an ecosystem and depend on one another. ... Some organisms can make their own food, and other organisms have to get their food by eating other organisms. An organism that must obtain their nutrients by eating (consuming) other organisms is called a consumer, or a heterotroph.
The volume of a liquid is 36 mL and the mass is 4g. What is the density?
A line in the spectrum of an element was observed to have a frequency of 5.17 X 1014 s-1. What is the wavelength of this radiation
Answer:
f = c / y where y is the wavelength lambda
y = 3.00E8 / 5.17E14/s = 5.80E-7 m = 580 millimicrons - visible yellow
To calculate the wavelength of the radiation, you can use the formula that relates the speed of light (c) to the frequency (f) and wavelength (λ) of electromagnetic waves: λ = c / f.
Where:
λ = Wavelength
c = Speed of light (approximately 3.00 x 10^8 m/s)
f = Frequency
Given that the frequency (f) is 5.17 x 10^14 s^-1, you can plug in the values and calculate the wavelength:
λ = (3.00 x 10^8 m/s) / (5.17 x 10^14 s^-1)
λ ≈ 5.80 x 10^-7 meters
So, the wavelength of the radiation is approximately 5.80 x 10^-7 meters, which is in the range of the visible light spectrum (typically measured in nanometers).
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How far from the front of the car will the CM be when two people sit in the front seat 2.80 m from the front of the car, and three people sit in the back seat 3.90 m from the front
The center mass of the car from the front for the given passengers is 3.46 m.
The given parameters;
distance of 2 people from the front of the car, d₁ = 2.8 mdistance of 3 people from the front of the car, d₂ =3.9 mAssuming the mass of the passengers is the same, let their mass = m
Keeping the front seat as the reference point, the center mass is calculated as;
[tex]X_{cm} = \frac{ \ 2M(2.8m) \ + \ 3M(3.9m) }{2M + 3M} \\\\X_{cm} = \frac{17.3 Mm}{5M} \\\\X_{cm} = 3.46\ m[/tex]
Thus, the center mass of the car from the front for the given passengers is 3.46 m.
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If the light that has been reflected from the wall into the water is observed to be completely polarized, what angle does this beam make with the normal inside the water
The angle of incidence for a complete polarization of incident ray on water is 53.1⁰.
The given parameters;
refractive index of water, μ = 1.333The angle of incidence for a complete polarization of incident ray on water is calculated by applying Brewster's law as shown below;
[tex]\mu = tan \ \theta[/tex]
where;
θ is the polarizing angleThe polarizing angle is calculated as;
[tex]\theta = tan^{-1}(1.333)\\\\\theta = 53.1^ 0[/tex]
Thus, the angle of incidence for a complete polarization of incident ray on water is 53.1⁰.
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Question 13 (2 points)
What is the centripetal acceleration of a jet making a turn with a radius of 0.50 km at a speed of 343 m/s?
Question 13 options:
686 m/s/s
0.7 m/s/s
235 m/s/s
235000 m/s/s
Question 14 (2 points)
Which force produces the largest torque?
Question 14 options:
20.0 N perpendicular to the center of rotation at a radius of 0.5 m
20.0 N perpendicular to the center of rotation at a radius of 1.0 m
10.0 N perpendicular to the center of rotation at a radius of 0.25 m
10.0 N perpendicular to the center of rotation at a radius of 1.5 m
Question 15 (2 points)
A tennis ball is hit across the court, raising up and coming back down. Which of the following statements is true about the tennis ball at the top of its path?
Question 15 options:
The horizontal velocity is zero.
The horizontal acceleration is zero.
The vertical acceleration is zero.
All the other statements are false.
Question 16 (2 points)
What is the name for the path a projectile takes?
Question 16 options:
hyperbolic path
trajectory
centripetal
linear path
Question 17 (2 points)
The centripetal force always points�
Question 17 options:
outside the circle
to the center of the circle
in the direction of the motion
tangential to the circle
Question 18 (2 points)
A plumber needs to increase the torque to unfasten a pipe. How can they do this?
Question 18 options:
Apply more force ONLY.
Get a longer wrench ONLY.
Apply more force AND get a longer wrench.
Neither more force nor a longer wrench will help.
Question 19 (2 points)
A T-shirt cannon needs to launch shirts as far as possible. What angle should the cannon be fired at?
Question 19 options:
Parallel to the ground
30 degrees over the ground
45 degrees over the ground
60 degrees over the ground
Question 20 (2 points)
What forces are acting on a projectile as it flies through the air?
Question 20 options:
gravity and normal
gravity and applied
gravity and tension
just gravity
Question 21 (2 points)
Two balls are thrown at the heights and velocities shown in the figure. Which ball will hit the floor first?
Question 21 options:
Ball A will hit the floor first.
Ball B will hit the floor first.
Both balls will hit the floor at the same time.
There is not enough information to answer the question.
Question 22 (2 points)
Two balls are thrown at the heights and velocities shown in the figure. Which ball travel farther to the right?
Question 22 options:
Ball A will go farther.
Ball B will go farther.
They will both hit the floor at the same place.
There is not enough information to answer the question.
Question 23 (2 points)
If the centripetal force suddenly stops, an object traveling in a circle will
Question 23 options:
continue traveling along the tangent line to the circular path.
continue traveling along the circular path.
stop moving.
continue traveling in some random direction.
Question 24 (2 points)
Which statement about a HORIZONTAL projectile is false?
Question 24 options:
The horizontal velocity is constant.
The horizontal acceleration is constant.
The vertical velocity is constant.
The vertical acceleration is constant.
Question 25 (2 points)
In the figure, a washer on a string (string not shown) moves in the circular path shown in red. Which arrow�best�describes the direction of the tangential velocity of the washer at that instant in time?
Question 25 options:
arrow A
arrow B
arrow C
arrow D
Could you help me with this question please
Charge =
(current in Amperes) x (time in seconds)
1 Ampere means 1 Coulomb per second
240 Coulombs
90 Coulombs
150 Coulombs
50 km/h east is an example of
velocity
acceleration
time
deceleration
velocity I hope so oh may
50 km/h east is an example of velocity.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time. Uniform motion an object is said to have uniform motion when object cover equal distance in equal interval of time within exact fixed direction. For a body in uniform motion, the magnitude of its velocity remains constant over time.
Velocity is direction and magnitude and so 50 km/h east is an example of velocity.
50 km/h east is an example of velocity.
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What energy transformation occurs when
gasoline burns in an automobile?
Answer:
See below:
Explanation:
Hello! I hope you are having a nice day!
There are many forms of energy transformation, the main being:
+ GPE (Gravitational Potential Energy)
+ Chemical Energy
+ Electrical Energy
+ Radiant Energy
+ Kinetic Energy.
+ Mechanical Energy
For this case, the gasoline has to power a motor in most cases to turn the wheels of the automobile, the gasoline is burnt to create energy to power the motor(s).
In this case, the motor is moved due to Mechanical Energy.
(Keep in mind that Gasoline isn't energy, although it's used to create energy.)
Cheers!
20. A 418.6 N boy eats a protein bar with an energy content of 100 calories. What percent of this energy will be used up if he climbs 100-meter stairs
The percent of this energy that will be used up if he climbs 100-meter stairs is 1 %.
Potential energy = mgh
where
m = mass
g = acceleration due to gravity
h = height = 100 m
Therefore,
weight = mg = 418.6 N
Potential energy = 418.6 × 100 = 41860 joules
covert 100 calories to joules.
1 calories = 4.184 j
100 calories = 418.4 joules
% energy used up = 418.4 / 41860 × 100
% energy used up = 41840 / 41860 = 0.99952221691
% energy used up ≈ 1 %
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who sailed the Atlantic from France to explore
Answer:
navigator Jacques Cartier
Explanation:
Complete this concept map about types of waves.
Answer:
The answer is within the picture.
Explanation:
A solid conductor with radius a is supported by insulating disks on the axis of a conducting tube with inner radius b and outer radius c . The central conductor and tube carry equal currents I in opposite directions. The currents are distributed uniformly over the cross sections of each conductor.
a. Derive an expression for the magnitude of the magnetic field at points outside the central, solid conductor but inside the tube
b. Derive an expression for the magnitude of the magnetic field at points outside the tube (r > c).
The answers to both are attached. Also hello to person in same class & same hw, physics 2 been a bummer but not too bad--just annoying in general.
Ampere's law allows us to find the results for the magnetic field at two distances from a system made up of two conductors:
a) Magnetic field inside the system is: [tex]b= \frac{\mu_o }{2\pi } \ \frac{I}{r}[/tex]
b) Magnetic field for the outside of the system is; b = 0
Ampere's Law.
Ampere's law states that the dot product of the magnetic field times a closed path is proportional to the current within the path.
∫ B. ds = μ₀ I
Where bold indicates vectors, B is the magnetic field, S the closed path, muo the vacuum permittivity and I the current
a) Ask the magnetic field inside the two conductors.
Let's fix a circular path within the system, see attached, in this case the current that stops inside the path is I.
The circle length is
s = 2π r
B 2π r = μ₀ I
[tex]B = \frac{\mu_o}{2\pi } \ \frac{I}{r}[/tex]
b) Ask the magnetic field on the outside of the two wires.
Let's use a circular path in the outer part of the system, see attached, in this case with indicate that the current is the two cables is of equal magnitude and in the opposite direction the net current is zero, consequently by Ampere's law
B=0
In conclusion using Ampere's law we can find the magnetic field for the distances of a system formed by two conductors are:
a) Magnetic field inside the systemis: [tex]B = \frac{\mu_o}{2\pi } \ \frac{I}{r}[/tex]
b) Magnetic field outside of the system is; B = 0
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A sudden gust of wind exerts a force of 19.0 N for 1.20 s on a bird that had been flying at 5.00 m/s. As a result, the bird ends up moving in the opposite direction at 7.00 m/s. 1) What is the mass of the bird
Answer:
Explanation:
An impulse results in a change of momentum
FΔt = mΔV
m = FΔt / ΔV
m = F(t₁ - t₀) / (v₁ - v₀)
If the initial flight direction is the positive direction
m = -19.0(1.20 - 0.00) / (-7.00 - 5.00)
m = 1.9 kg
A ball is dropped from 8.5 meters above the ground. If it begins at rest, how long does it take to hit the ground?
Answer:
Explanation:
Givens
d = 8.5 meters
vi = 0
a = 9.81
t = ?
Formula
d = vi * t + 1/2 a t^2
Solution
8.5 = 0 + 1/2 9.81 * t^2 multiply both sides by 2
8.5 = 4.095 t^2 Divide both sides by 4.095
8.5/4.095 = t^2
1.7329 = t^2 Take the square root of both sides
t = 1.316
It takes 1.316 seconds to hit the ground.
A cylinder of radius 1.34 cm and a spherical shell of radius 6.97 cm are rolling without slipping along the same floor. The two objects have the same mass. If they are to have the same total kinetic energy, what should the ratio of the cylinder's angular speed wcyl to the spherical shell's angular speed wshl be?
Answer:
Explanation:
Moment of inertial of a UNIFORM cylinder is ½mR²
Moment of inertial of a spherical shell is ⅔mR²
Total kinetic energy is
KE = ½mv² + ½Iω²
KE = ½m(Rω)² + ½Iω²
KE = ½mR²ω² + ½Iω²
for the cylinder
KE = ½mR²ω₁² + ½(½mR²)ω₁²
KE = ¾m0.0134²ω₁²
for the sphere
KE = ½mR²ω₂² + ½(⅔mR²)ω₂²
KE = ⅚m0.0697²ω₂²
as the KE and mass are the same
¾m0.0134²ω₁² = ⅚m0.0697²ω₂²
¾0.0134²ω₁² = ⅚0.0697²ω₂²
ω₁²/ω₂² = ⅚0.0697²/¾0.0134²
ω₁/ω₂ = 0.0697√⅚ / 0.0134√¾
ω₁/ω₂ = 5.48285455...
A 1500 kg car traveling at 100 km/h South collides with a 1200 kg car traveling North at 100 km/h. The heavier car continues to move South after the collision, but slows to 25.0 km/h. How fast is the lighter car moving after the collision?
Answer:
31.3 km/h
Explanation:
momentum before collison = momentum after collion
m1xv1 = m2xv2
25x 1500 = 1200 x v2
v2=32.25 km/h = 32.3 km/h (3 sf)
The lighter car is moving at 6.25 km/h South after the collision.
What is law of conservation of momentum?The law of conservation of momentum asserts that, unless an external force is applied, the total momentum of two or more bodies operating upon one another in an isolated system remains constant. As a result, momentum cannot be gained or lost.
Newton's third law of motion has a direct impact on the idea of momentum conservation.
From law of conservation of momentum; we can write:
Total initial momentum = total final momentum
1500 kg × 100 km/h + 1200×(-100 km/h) = 1500 kg × 25.0km/h + 1200×(v km/h)
100×300 kg-km/h = 1500×25 kg-km/h + 1200×(v kg-km/h)
1200×(v kg-km/h) = -7500
v = - 6.25 km/h.
Hence, the lighter car is moving at 6.25 km/h South after the collision.
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A ball is held at rest at the top of a hill. The ball is then released and starts rolling down the hill. At the bottom, it reaches level ground and keeps rolling along the ground. Consider the level ground at the bottom of the hill as zero height.
Select the type or types of energy the ball has at the top of the hill.
kinetic energy
gravitational potential energy
spring potential energy
rotational kinetic energy
electrostatic potential energy
Select the type or types of energy the ball has halfway down the hill.
kinetic energy
gravitational potential energy
spring potential energy
rotational kinetic energy
electrostatic potential energy
Select the type or types of energy the ball has on the level ground.
kinetic energy
gravitational potential energy
spring potential energy
rotational kinetic energy
electrostatic potential energy
The energies that the ball possess when it is in rest at the top of the hill is electrostatic potential energy. When the ball at the level ground, it has gravitational potential energy and when it at the half way down hill , it possess rotational kinetic energy.
What is potential energy?Potential energy of a body is generated by virtue of its position. When the object is placed at rest on the surface the gravitational field, the stored energy is called gravitational potential energy.
When the object starts to move it gains kinetic energy. When the ball is at rest on the top of the hill it has the electrostatic potential energy. When starts to roll to the ground , then its potential energy converts to rotational kinetic energy.
When, the ball reaches the ground its kinetic energy again transforms to potential energy where the ball is falling down to the gravitational field and thus it possess gravitational potential energy.
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How would data look like for an arrangement with vertical square polarizer
Answer:
For two polarizing filters to block out all light passing through them, one filter should be rotated 90 degrees from the other.
hope this helps!
Explanation:
Mrs. Jones invited her husband, Lester, on her weekly slide down the waxed hallway. Mr. Jones weighs 850. N and the coefficient of friction between his socks and the floor is 0.120. What is the magnitude of the force of friction the opposes his motion?
Explanation:
We know that [tex]f = \mu N,[/tex] where N is the normal force and [tex]\mu[/tex] is the coefficient of friction. In this case, Mr. Jones's weight is the normal force therefore, the frictional force on Mr. Jones is
[tex]f = (0.120)(850\:\text{N}) = 102\:\text{N}[/tex]
A plane accelerates to a velocity of 240 m/s in 11 s by which time it had traveled 1,400 m down the runway what were it average and initial velocities
The average velocity is 127.27 m/s while the initial velocity is 14.55 m/s
According to Newton's law of motion:
s = [(v + u)/2]t
Where s is the distance moved = 1400 m, v is the final velocity = 240 m/s, u is the initial velocity, t is the time taken = 11 s, hence:
1400 = [(240 + u)/2)11
2800 = (240 + u)11
u + 240 = 254.55
u = 14.55 m/s
The average velocity = (v + u)/2 = (240 + 14.55)/2 = 127.27 m/s
Therefore the average velocity is 127.27 m/s while the initial velocity is 14.55 m/s
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Answer this one and u give you more points Need this now. This question has two parts. First, answer part A. Then, answer part B. Part A: Which statement best summarizes the theme of the text? O A. Tokyo is the best city in the world. O B. It is a long way from San Francisco to Tokyo 0 C. Sometimes we have to try something new to enjoy it. O D. Many things in Japan are different from what an American is used to. Part B: Which sentence from the text best supports your answer in part A? D A. "It was July, and Todd wanted to hang out with his friends." B. He had never eaten pickled vegetables, but the taste was not bad. C. Due to being awake during the protracted flight, Todd was exhausted and slept well. D. The sushi in San Francisco was not nearly as good.
Answer: Part A its C
Part B is B
Explanation:
If the emf produced in a wire is 0.88 volts and the wire moves perpendicular to a magnetic field of strength 0.075 newtons/amperes·meter at a speed of 4.20 meters/second, what is the length of the wire in the magnetic field? A. 0.27 meters B. 2.8 meters C. 0.020 meters D. 3.7 meters
avelocity of magnitude 40m/s is directed at an angle 40degree east of north draw a vector an paper to represent this velocity solution
Answer:
Explanation:
the horizontal and vertical component's of the velocity vector:
v_x=vcos\theta=40\ \dfrac{m}{s}\cdot cos40^{\circ}=30.6\ \dfrac{m}{s},v
x
=vcosθ=40
s
m
⋅cos40
∘
=30.6
s
m
,
v_y=vsin\theta=40\ \dfrac{m}{s}\cdot sin40^{\circ}=25.7\ \dfrac{m}{s}.v
y
=vsinθ=40
s
m
⋅sin40
∘
=25.7
s
m
.
Let's draw the vector (here one division corresponds to 5 m\s ):
A helicopter flying horizontally at a height H with a speed v0needs to drop a supply capsule to a point P . Assume the capsule has zero relative velocity with respect to the helicopter when it was dropped. Neglect the effect of air resistance. (a) At what distance L away from point P should the heli- copter drop the capsule
