A sliding puzzle, sliding block puzzle, or sliding tile puzzle is a combination puzzle that challenges a player to slide (frequently flat) pieces along certain routes (usually on a board) to establish a certain end-configuration. The pieces to be moved may consist of simple shapes, or they may be imprinted with colours, patterns, sections of a larger picture (like a jigsaw puzzle), numbers, or letters.
Sliding puzzles are essentially two-dimensional in nature, even if the sliding is facilitated by mechanically interlinked pieces (like partially encaged marbles) or three-dimensional tokens. As this example shows, some sliding puzzles are mechanical puzzles. However, the mechanical fixtures are usually not essential to these puzzles; the parts could as well be tokens on a flat board that are moved according to certain rules.
Unlike other tour puzzles, a sliding block puzzle prohibits lifting any piece off the board. This property separates sliding puzzles from rearrangement puzzles. Hence, finding moves and the paths opened up by each move within the two-dimensional confines of the board are important parts of solving sliding block puzzles.
The oldest type of sliding puzzle is the fifteen puzzle, invented by Noyes Chapman in 1880; Sam Loyd is often wrongly credited with making sliding puzzles popular based on his false claim that he invented the fifteen puzzle. Chapman's invention initiated a puzzle craze in the early 1880s.
From the 1950s through the 1980s sliding puzzles employing letters to form words were very popular. These sorts of puzzles have several possible solutions, as may be seen from examples such as Ro-Let (a letter-based fifteen puzzle), Scribe-o (4x8), and Lingo.The fifteen puzzle has been computerized (as puzzle video games) and examples are available to play for free on-line from many Web pages. It is a descendant of the jigsaw puzzle in that its point is to form a picture on-screen. The last square of the puzzle is then displayed automatically once the other pieces have been lined up.
Homework Statement
You are trying to move a heavy crate by sliding it across a rough floor. Identify the forces involved in actually getting it to move.
Homework Equations
??
The Attempt at a Solution
forces of gravity, air resistance, friction??
Homework Statement
The equation below describes a physical situation:
1/2(1.70kg)(3.30m/s)2 + (1.70kg)(9.8m/s2)(2.35m)sin 30º =
1/2(1.70kg)(1.08m/s)2 + 0.320(1.70kg)(9.8m/s2)(2.35)cos 30º
Which description best fits the equation?
A. A 1.70 kg block slows down while...
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...
Homework Statement
A block with mass m = 5.00 kg slides down a surface inclined 36.9 degrees to the horizontal (the figure View Figure ). The coefficient of kinetic friction is 0.23. A string attached to the block is wrapped around a flywheel on a fixed axis at O. The flywheel has mass 28.0...
When I started looking into this problem I thought it would be rather easy. As I got into it further I found it getting more difficult. I will explain the image first. These components are circular, but I have unwrapped them for simplification. The block on the top is a complete ring. Force...
Homework Statement
A 5.50 kg block (m1) is connected by means of a massless rope to a 3.15 kg block (m2). The pulley is frictionless. Calculate the maximum value for the coefficient of static friction, if the 5.50 kg block is to begin sliding.
The diagram is attatched to the post...
My problem states, 2s is required for the mass to slide the distance d from a resting position. If the height h is increased by a factor of 4, while holding theta(angle) at 30, how long does it take the mass to slide the new distance d from rest?
height h =5.
My main question is (don't...
Homework Statement
A block with mass m = 24.6 kg slides down an inclined plane of slope angle 38.4 o with a constant velocity. It is then projected up the same plane with an initial speed 4.90 m/s. How far up the incline will the block move before coming to rest?
Homework Equations...
In a physics lab, a small cube slides down a frictionless incline as shown, and collides at the bottom (where it is now moving horizontally) with a cube that is only one-half its mass. If the incline is 30 CM high and the table is 90 CM off the floor. where does each cube land?
the teacher...
Homework Statement
"A boy is initially seated on the top of a hemispherical ice mound of radius R = 13.8m. He begins to slide down the ice, with a negligible initial speed. Approximate the ice as being frictionless. At what height does the boy loose contact with the ice?"
Homework...
Homework Statement
Assume g= 10 m/s^2
A plane 25m in length is inclined at an angle of 36.9 degrees. A block of weight 250N is placed at the top of the plane and allowed to slide down. The coefficient of friction is 0.5. The velocity is negative and the block weighs 250N. The mass of the...
Homework Statement
The path that a block slides along is frictionless until the block reaches the section L shown in the figure below. The length L = 0.75 m begins at height h = 2.0 m on a ramp of angle θ = 30º. In that section, the coefficient of kinetic friction is 0.40. The block...
Homework Statement
A small block starts at rest on top of a frictionless hemisphere (like an igloo) of radius 1.7m. Then the block slides down from the top. At what height above the ground (in m) is the block moving fast enough that it leaves the surface of the hemisphere?
Homework...
A 3.00kg box, initially at rest, slides 1.50m down a frictional plane inclined at 20degrees to the horizontal?
a) The work done on the box was ?
B) the final velocity of the box?
a= 3kg*9.8m/s *sin(20)=10.05N
10.05N *1.5m= 15.08N*m
b= square root of 2* 10/3 * 1.5...
Homework Statement
A block of ice at 0°C whose mass initially is m = 50.0 kg slides along a horizontal surface, starting at a speed vo = 5.72 m/s and finally coming to rest after traveling a distance d = 21.37 m. Compute the mass of ice melted as a result of the friction between the block...
1. A person driving a truck has a box in the back. They are driving at a constant speed (v_0) when they notice a red light and have to stop. What is the maximum acceleration the truck can have without causing the box to slide forward? (Answer must be given in terms of variables, as no values are...
Homework Statement
With what frictional force must the road push on a 1200 kg car if the driver exceeds the speed for which the curve was designed by deltav = 14km/hr?
The Attempt at a Solution
I actually have no clue where to begin with this question. Don't I need the radius to figure...
Homework Statement
A straight piece of conducting wire with mass M and length L is placed on a frictionless incline tilted at an angle theta from the horizontal. There is a uniform, vertical magnetic field vecB at all points (produced by an arrangement of magnets not shown in the figure)...
Homework Statement
You push a block of lead across the floor, applying a horizontal force of 9 N. The block moves at a constant speed. The mass of the block is 1.5 kg and the heat capacity of lead is 130 J/(kg K). After pushing the block a distance of 20 m, you measure its temperature and find...
Homework Statement
a ball started at a height of 12.5 meters and rolled to the edge of a roof which is at 7 meters. Using a^2+b^2=c^2 we know it rolled a distance of 8.14 meters on the roof because it rolled a horizontal distance of 6m and a vertical distance of 5.5m. Find the time it rolled...
[SOLVED] Sliding in Socks
Homework Statement
Suppose that the coefficient of friction between your feet and the floor, while wearing socks, is 0.250. Knowing this, you decide to get a running start and then slide across the floor.
If your speed is 3.00 m/s when you start to slide, what...
Homework Statement
A uniform solid cylinder (m=0.230 kg, of small radius) is at the top of a similar ramp, which has friction. The cylinder starts from rest and rolls down the ramp without sliding and goes around the loop. Find the speed of the cylinder at the top of the loop.
Homework...
Homework Statement
A student is pulling a 25 kg trunk up an incline that has an angle with the horizontal of 20 degrees. She has a strap tied to the trunk which is parallel to the surface of the incline. If the coefficient of kinetic friction between the incline and the trunk is 0.5 fine...
Homework Statement
You are driving a 2090 kg car at a constant speed of 22.2 m/s along an icy, but straight and level road. While approaching a traffic light, it turns red. You slam on the breaks. Your wheels lock, the tires begin skidding, and the car slides to a halt in a distance of 64.9...
[SOLVED] Sphere: angle to begin sliding
Given a small mass on a sphere. Coef of static friction is .49 what angle would begin sliding.
I thought i would use inverse cos(.49/9.8) and i get 87 degrees but it is wrong any other equations i am missing?
A 5.0 g coin is placed 22 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of µs = 0.80 and µk = 0.50. What is the maximum rpm that the turntable could speed up to without the coin sliding off?
m = .005 kg
r = .22 m...
A 5.0 g coin is placed 22 cm from the center of a turntable. The coin has static and kinetic coefficients of friction with the turntable surface of µs = 0.80 and µk = 0.50. What is the maximum rpm that the turntable could speed up to without the coin sliding off?
m = .005 kg
r = .22 m
µs = 0.8...
A slide loving pig slides down a certain 19° slide in twice the time it would take to slide down a frictionless 19° slide. What is the coefficient of kinetic friction between the pig and the slide?
here is how i approached the problem:
since on a slide i changed the x-axis going with the...
The question is:
Two horizontal forces F1 and F2 act on a 1.8 kg disk that slides over frictionless ice, on which an xy coordinate system is laid out. Force F1 is in the negative direction of the x-axis and has a magnitude of 3.0 N. Force F2 has a magnitude of 9.0 N. The figure below gives...
Homework Statement
A large package weighing 517 N is accelerated across a gym floor at 3 m/sec^2 because it is being pushed at a force of 285 N at 50 degrees to the floor. What is the normal force of the package? What is the coefficient of sliding friction between the package and the floor...
Homework Statement
There is a 5.0kg block sliding 1.5m down an inclined plane 12 degrees from the horizontal. the coefficient of kinetic friction is 0.310. Whats is the work done on the block by friction and gravity?
Homework Equations
F=ma, W=fd, fk=uk*N
The Attempt at a Solution...
Homework Statement
A block of ice slides down a frictionless ramp at theta = 60 degrees while an ice worker pulls on the block (via a rope) with a constant force of 50.0 N. The block slides a distance d = 0.8m along the ramp and its kinetic energy increases by 128 J.
(a) Calculate the work...
Homework Statement
Part A:
A box of mass m is sliding along a horizontal surface.
The box leaves position x = 0 with speed v_0. The box is slowed by a constant frictional force until it comes to rest at position x = x_1.
Find F_f, the magnitude of the average frictional force that...
Homework Statement
A block of weight w sits on a frictionless inclined plane, which makes an angle (theta) with respect to the horizontal. A force of magnitude F, applied parallel to the incline, pulls the block up the plane at constant speed.
1)The block moves a distance up the incline...
Homework Statement
A child on a toboggan slides down a hill with an acceleration of magnitude 1.5 m/s^2. If friction is negligible, what is the angle between the hill and the horizontal?
a = 1.5 m/s^2
g = 9.8 m/s^2
The Attempt at a Solution
Ok, there is no mass given so it it's a...
Homework Statement
The velocity of a 2.10 kg block sliding down a frictionless inclined plane is found to be 1.13 m/s. 1.00 s later, it has a velocity of 4.13 m/s. What is the angle of the plane with respect to the horizontal?
2. The attempt at a solution
I drew a diagram and...
Homework Statement
A smooth ring of mass m can slide on a fixed horizontal rod.A string tied to the ring passes over a fixed pulley and carries a mass M(<m).At an instant the angle between the rod and the string is θ.Show that if the ring slides with a speed v,the block descends with a speed...
Homework Statement
A block of ice with mass 2.00kg slides 0.750m down an inclined plane that slopes downward at an angle of 36.9degrees below the horizontal.
f the block of ice starts from rest, what is its final speed? You can ignore friction.
Homework Equations
F=ma, trig...
Homework Statement
A block of ice with mass 2.00kg slides 0.70m down an inclined plane that slopes downward at an angle of 30degrees below the horizontal. If the block of ice starts from rest, what is its final speed?
Homework Equations
W = 1/2(m)(v2)^2 - 1/2(m)(v1)^2
The Attempt at a...
Homework Statement
Well I figured out the first problem I had posted so here's a new one :)
If two objects of different masses are sliding along a frictionless surface at the same speed and they both slide of the same frictionless surface. which rises to a greater height?
I want to say they...
A block starts from rest at a height of 4.7m on a fixed inclined plane tilted at 30 degrees. The coefficient of friction is 0.28. If the block continues to slide on the ground with the same coefficient of friction, how far will the block slide on the ground until coming to rest?
[b]2. V =...
Homework Statement
A person starts from rest at the top of a large frictionless spherical surface, and slides into the water below. At what angle (theta) does the person leave the surface?
Then the book gives a "hint": (Hint: The person will lose contact with the surface when the Fn...
Homework Statement
An object, a sphere or cylinder, is rolling down an incline and also slipping. How do you find the translational and angular speed?
Does slipping decrease or increase the translational and rotational speeds? How so?
Homework Equations
The Attempt at a Solution
Golf Cart Questions
Homework Statement
Ms. Boylan on her 1750-kg cart is traveling at a constant speed of 8.5-m/s on a wet, straight, and slippery road. A mindless student steps out in from of the cart. The wheels lock and she begins skidding and slides to a halt in 12.0-m. What is the...
a ladder 4m long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a speed of 30cm/s. How quickly is the top of the ladder sliding down the wall when the bottom of the ladder is 2m from the wall.
Homework Statement
A turntable rotates at 78 rev/min
A particle on the turntable is located 0.14 m from the center of the rotating turntable
The particle on the turntable has a mass of 16 g.
Calculate the force of friction which keeps it from sliding off
Homework Equations
f_s =...
a block slides along a horizontal plane at an initial velocity of 10m/sec. After sliding 4 meters it reaches a 35 degree incline and slides up the hill. the coefficient of kinetic friction is 0.4 for all surfaces.
a) how fast is it going when it reaches the incline?
b) how far up th incline...
I read this question a few days ago:
Lets say that you have a line that goes from a point on the +y axis to a point on the +x axis with the length of L. There's an infinate amount of such lines, starting with a line that goes from (0,0) to (0,L) and ending with one that goes form (0,0) to...
Here's a question (not homework) that someone asked me a few days ago:
you have a rod with length L and mass M that's leaning against a frictionless wall and makes a 30deg angle with the floor. what does the static friction have to be inorder for the stick to stay inequilibrium?
What i did...
Homework Statement
You are working for a shipping company. Your job is to stand at the bottom of a 8.0-m-long ramp that is inclined at 37 degrees above the horizontal. You grab packages off a conveyor belt and propel them up the ramp. The coefficient of kinetic friction between the packages...