The Duquesne Incline () is a funicular located near Pittsburgh's South Side neighborhood and scaling Mt. Washington in Pennsylvania, United States. Designed by Samuel Diescher, the incline was completed in 1877 and is 800 feet (244 m) long, 400 feet (122 m) in height, and is inclined at a 30-degree angle. It has an unusual for United States (but standard for Finland, Mongolia and the former-USSR) track gauge of 5 ft (1,524 mm).
Homework Statement
After a bobsled race, the sled and riders have been partially slowed down up in an icy incline, but they need to be brought to a stop. This happens on a portion of track inclined at 30 degrees that has a coefficient of kinetic friction of 0.60. The sled enters the incline at...
Can someone tell me if I'm doing this problem right?
Homework Statement
Here is the picture of the problem:
http://i210.photobucket.com/albums/bb23/Kyashii628/block.jpg
In my FBD, I have Fg pointing down, Fgy perpendicular to the incline and pointing down, Fgx parallel to incline pointing...
Homework Statement
A 2.1 kg is released from rest from the bottom of a 45 degree inclined ramp. The package is attached to an ideal spring K = 35 N/m that is attached to the top of the incline causing the package to be launched up the incline. The coefficients of friction between the package...
This is just a basic incline plane problem. I know how to do it, but these sign conventions and vector issues are what confuse me. I know that I align my coordinate system so the x-axis is basically the surface the block is resting/moving on, the net weight vector of the block will be directed...
Homework Statement
If a curve with a radius of 88m is perfectly banked for a car traveling 75kn/h, what must be the coefficient of static friction for a car not to skid when traveling at 95 km/hHomework Equations
F=m(aR)
F(Normal) x sin0 = m(v^2/r)
The Attempt at a Solution
I've asked my...
Consider a frictionless track ABC as shown in Figure P8.23. A block of mass m1 = 8.00 kg is released from A. It makes a head-on elastic collision at B with a block having a mass of m2 = 14.0 kg that is initially at rest. Calculate the maximum height to which m1 rises after the collision...
Homework Statement
A 50 kg box is being pushed up an incline of 25 degrees, to a total height of 45 m. Kinetic friction between the box and the incline has a mew of .4.
a) What is the work done by gravity?
b)What is the work done by friction?
c) What is the work done by the person...
A ball of mass 2.10 kg and radius 0.145 m is released from rest on a plane inclined at an angle theta=38.0 degrees with respect to the horizontal. How fast is the ball moving (in m/s) after it has rolled a distance d=1.50 m? Assume that the ball rolls without slipping, and that its moment of...
Homework Statement
This was a lab task in which we are asked: Determine the static and dynamic coefficients of friction for a block of wood of mass 82.2grams on a plank of wood.
PART A:
To determine the static coefficient we found the angle at which point the block just started to...
http://img530.imageshack.us/my.php?image=hrwc5f51km4.gif
A 1.7 kg mass, m2, on a 30.5° incline is connected to a 6.4 kg mass, m1, on a horizontal surface. The surfaces and the pulley are frictionless. If F = 13.3 N, what is the magnitude of the tension in the connecting cord?
I've tried solving...
Homework Statement
A weight, mass m = 80 kg , is pulled over a rough horizontal plane, mu = 0.15, by a force of magnitude F = 359 N, making an angle of 43 degrees with the plane, away from the plane. Calculate the speed of the weight d= 1.5 m away from its initial position assuming that it...
Gun Shoots Block Up Incline!
1. A block of mass m is placed in a smooth-bored spring gun at the bottom of the incline so that it compresses the spring by an amount x. The spring has spring constant . The incline makes an angle (theta) with the horizontal and the coefficient of kinetic friction...
Homework Statement
A horizontal force of magnitude F = 150 N is used to push a box of mass m = 18 kg from rest a distance d = 8 m up a frictionless incline with a slope q = 32°.
a, b. and c I already have done
d) How fast is the box moving after this displacement? [Hint: Work-energy...
Homework Statement
In a physics lab, a cube slides down a frictionless incline as shown in the figure (Intro 1 figure) , and elastically strikes another cube at the bottom that is only 1/6 its mass. The picture is located in the attachement. If the incline is 30 cm high and the table is 90...
Homework Statement
A block of mass m is placed in a smooth-bored spring gun at the bottom of the incline so that it compresses the spring by an amount xc. The spring has spring constant k. The incline makes an angle \vartheta with the horizontal and the coefficient of kinetic friction between...
Homework Statement
A 5.0 kg block slides along a frictionless horizontal surface with a speed of 7.0 m/s. After sliding a distance of 3.0 m, the block makes a smooth transition to a frictionless ramp inclined at an angle of 40° to the horizontal. How far up the ramp does the block slide...
Homework Statement
The coefficient of static friction between the 3.00kg crate and teh 35.0 degree incline is 0.300. What minimum force perependicular to the incline must be applied to the crate to prevent it from sliding?
Gravity = 9.80 m/s2
Homework Equations
Sigma Fx = Fcos(theta) +...
Homework Statement
An object is given an initial velocity of 3.0 m/s up a 20 degree incline. Mass= 22.3 kg and coefficient of kinetic friction is .93.Homework Equations
W = (1/2)mv1^2-1/2mv0^2
W = Fdcos(u)The Attempt at a Solution
So I added the forces together, mgsin(20) + .93mgcos(20)...
Homework Statement
A bicyclist coasts down a 7 degree hill at a steady speed of 5 m/s. Assuming the total mass of 75 kg, what must be the cyclist's power output to climb the same hill at the same speedHomework Equations
power = force * distance / time
force of gravity = mass * gravityThe...
Homework Statement
Figure shows a block of mass m resting on a 20* slope. The block has coefficients of friction uS=0.80 and uK=0.50 with the surface. It is connected via a massless string over a massless, frictionless pulley to a hanging block of mass 2.0 kg.
Part A:
What is the minimum...
Homework Statement
A sled weighing 210 N rests on a 15° incline, held in place by static friction. The coefficient of static friction is 0.50.
(c) The sled is now pulled up the incline at constant speed by a child. The child weighs 546 N and pulls on the rope with a constant force of 100...
Homework Statement
A spring (k=75 N/m) has an equilibrium length of 1 m. The spring is compressed to a length of .5 m and a mass of 2 kg is placed at its free end on a frictionless slope which makes an angle of 41 degrees with respect to the horizontal. The spring is then released. a) If the...
Homework Statement
In the figure (sorry for that quick drawing with paint) m_1 (first block) = 4.0kg, m_2 = 5.0kg and the coefficient of kinetic friction between the incline plane and the first block is \mu_k = 0.24. Incline = 30 degree with horizontal
Find the magnitude of the...
Homework Statement
A 1400 kg block of granite is pulled up an incline that has an angle of inclination θ = 29 ° with a constant speed of 1.13 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.12. How much power must be supplied by the...
Homework Statement
A 1200 kg block of granite is pulled up an incline that has an angle of inclination q = 23 ° with a constant speed of 1.23 m/s by a steam winch (see Figure). The coefficient of kinetic friction between the block and the incline is 0.14. How much power must be supplied by the...
Homework Statement
A 3.0 kg object has a speed of 2.0 m/s at the bottom of a 35 degree incline. How far up the incline will the object slide if the coefficent of friction along the incline is 0.22.
Homework Equations
Being a conservation of energy question I am looking at Fad + Ep +...
Homework Statement
A block of mass m=2.0kg is held in equilibrium on an incline of angle=60 degrees by the horizontal force F.
a)determine the value of F
b)determine the normal force exerted by the incline on the block (ignore friction).
Homework Equations
Fnet = ma
Fnetx = 0...
A box of mass m2 = 1 kg on a frictionless plane inclined at angle θ = 30°. It is connected by a cord of negligible mass to a box of mass m1 = 3 kg on a horizontal frictionless surface. The pulley is frictionless and massless.
m1 O
---------------------\...
A block of mass m, acted on by a force of magnitude F directed horizontally to the right as shown above, slides up an inclined plane that makes an angle \theta with the horizontal. The coefficient of sliding friction between the block and the plane is \mu.
The picture is that of an...
Homework Statement
Masses m1 = 4.0kg and m2 = 9.0kg are connected by a light string that passes over a frictionless pulley. As shown in Figure, m1 is held at rest on the floor and m2 rests on a fixed incline of 40 degree. The masses are released from rest, and m2 slides 1.00m down the...
Question:
A projectile is fired down an incline which makes an angle of 40 degrees to the horizontal. The initial velocity of the projectile has a speed of 10m/s and makes an angle 60 degrees to the incline. Calculate the maximum perpendicular distance of the projectile from the incline...
A 800 gm block slides down an inclined plane that makes an angle of 30° with the horizontal. It accelerates at 1.5 m/s2. uk=.4
Find the magnitude and direction of the total force exerted on the block by the plane. For the direction, give the angle as measured counterclockwise from the vertical...
Homework Statement
"A 27N force parallel to the incline is required to push a certain crate at constant velociy up a frictionless incline that is 35 degrees above the horizontal. The mass of the crate is:"
Homework Equations
F = ma
Fnet = mgsin(theta)
The Attempt at a Solution...
Homework Statement
A mass m slides on a plane. It is attached to an inextensible massless string, the other end of which is attach to an equal mass. you can assume the pulley is frictionless , but that the surface has a coefficient of static friction. and the frictional force has the form F(f)...
Homework Statement
a) if a force of 86N parallel to the surface of a 20 degree incline plane will push a 120N block up the plane at constant speed, what force parallel to the plane will push it down at constant speed?
Homework Equations
\SigmaF(X)=F(A)-F(fr)-mgcos\vartheta=0...
Homework Statement
A mass slides on an incline plane with friction at an angle theta from the horizontal. The mass starts at rest at a height of h1 + h2 and then slides off a ramp at height h1.
a) If the coefficient of friction when a block is sliding down a plane is mu, what is the...
I have an answer for this question, but I am not quite sure if it's right so I would just like to run it by you guys and see what you think. The reason I am not sure is because I am not sure about how I reasoned that T should be 0. I used the reasoning that a rope can't exactly be "pushed"...
Homework Statement
A skier on a slope inclined at 4.7 degrees from the horizontal starts down the slope with an initial speed of 2.7m/s. The coefficient of friction is 0.11. Determine how far the skier will slide before coming to a rest.
Homework Equations
Fnet=ma
F(f) = (mu)N
The...
Homework Statement
Consider the following situation:
http://img206.imageshack.us/img206/9739/fbdow8.th.jpg
The height of the incline is 'h'.
a) Find the net acceleration of the centre of mass of the combined system (of the incline and the block) relative to ground.
b) Find the speed of...
Question:
A block of mass m = 2.00 kg is released from rest at h = 0.600 m from the surface of a table, at the top of a θ = 35.0° incline as shown below. The frictionless incline is fixed on a table of height H = 2.00 m.
How far from the table will the block hit the floor?
So basically a...
Homework Statement
A mass slides on a frictionless plane inclined at an angle theta from the horizontal. The mass starts from rest at a height h(1)+h(2) , then slides off the ramp at height h(1).
I will post the link so you can visualized the problem...
Homework Statement
Two blocks with masses m1=4.0kg and m2=5.0kg are connected by a light rope and slide down a frictionless wedge. The angle of the side on which m2 is moving is 53 degrees, and the angle of the side on which m1 is moving is 37 degrees. Basically the system looks like a...
Homework Statement
A man pushes on a piano with mass 180 kg so that it slides at constant velocity down a ramp that is inclined at 11deg above the horizontal floor. Neglect any friction acting on the piano. Calculate the magnitude of the force applied by the man if he pushes (a) parallel to...
Homework Statement
Starting from rest, a cyclist coasts down the starting ramp at a professional biking track. If the ramp has the minimum legal dimensions(1.5 m high and 12m lomg) find
a) the acceleration of the cyclist ignoring friction
b) the acceleration of the cyclist if all...
An object of a mass "m" is held stationary on an incline plane at an angle "theta" by means of a rope attached to it. The rope is parallel to the incline. The coefficient of static friction between the mass and the incline is "mu_s". I assume the static friction force is up the plane to oppose...
Homework Statement
A 2.5 kg block and a 3.1 kg block slide down a 30 degree incline. The coefficient of kinetic friction between the 2.5 kg block and the slope is 0.23; between the 3.1 kg block and the slope is 0.51. Determine the (a) acceleration of the pair and (b) force the lighter...
Okay, another problem from me!
http://img187.imageshack.us/img187/69/32aa2d25kf9.jpg
A solid sphere of uniform density starts from rest and rolls without slipping a distance of d = 2.6 m down a q = 22° incline. The sphere has a mass M = 4.2 kg and a radius R = 0.28 m...
[SOLVED] Horizontal Range (with incline)
Homework Statement
A ball is thrown up an (v0) incline. The ball is thrown at an angle phi from the incline and the incline has an angle theta with the ground.
1) Show the ball lands a distance R = 2{v_0}^2 sin\theta cos(\theta + \phi ) / (gcos{\phi...
Homework Statement
A trunk of mass m = 1.8 kg is pushed a distance d = 62 cm up an incline with an angle of inclination θ = 24.0° by a constant horizontal force P = 375 N (see figure). The coefficient of kinetic friction between the trunk and the incline is 0.19.
Figure...
Homework Statement
A 3kg mass starts at rest and slides a distance d down a smooth 30deg incline, where it contacts an unstressed spring. It slides an additional 0.2 m as it is brought momentarily to rest by compressing the spring (k=400N/m)
What is the initial separation d between the...