Homework Statement
Consider a mass sliding down a frictionless curve in the shape of a quarter circle of radius
2.00 m as in the diagram. Assume it starts from rest. Use Euler’s method to approximate
both the time it takes to reach the bottom of the curve and its speed at the bottom. Hint...
Homework Statement
A uniform rope of length L lies in a lump on a frictionless table. a
very small piece at one end is held hanging down through a hole in the table just below the lump.
This system is released, and the rope slides down through the hole. What is the
speed of the other end of...
Homework Statement
An assembled system consists of cart A of inertia mA, cart B of inertia mB, and a spring of negligible inertia, clamped together so that the fully compressed spring is aligned between the front end of cart B and the back end of cart A. The internal energy of the system...
Homework Statement
Edward and Jacob, standing face-to-face on a horizontal sheet of frictionless ice, push off each other, causing each to slide backward. Jacob is more massive than Edward. After the push, which of the two is moving faster?
Homework Equations
Conservation of momentum: Pi = Pf...
Homework Statement
A cube with m mass is released from the top of a slide, of h height, with a horizontal distance of d. [/B]
Homework Equations
Assuming there is no friction between the cube and the slide, ¿what is the minimal information i need to calculate the speed of the cube at the end...
Homework Statement
Two masses slide freely in a horizontal frictionless track and are connected by a Spring whose force constant is k. Fid the frequency of oscillatory motion for this system.
Homework Equations
My professor posted the solution but I am having trouble understanding everything...
Homework Statement
An m1 = 7.6 kg block and an m2 = 10.7 kg block, connected by a rope that passes over a frictionless peg, slide on frictionless incline. Find acceleration of boxes and tension of the rope.
Homework Equations
F=ma
I'm not sure what else
The Attempt at a Solution
I'm really...
The diagram shows how a force along the x-axis varies with location. A block of mass 7.20 kg moves along the x-axis on a horizontal frictionless surface, influenced by this force. (Graph is attached)
A) How much work is done by the force as the block moves from the origin to 8.0 m?
B) If the...
Homework Statement
Gayle runs at a speed of 4.20m/s and dives on a sled, which is initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 4.77m, her brother, who is initially at rest, hops on her back and together they continue down the...
Work done = force applied * displacement
So if I exert N1 force on a mass placed over a friction less floor, then the displacement = ∞.
Then won't the work done = ∞.
How is possible?
Homework Statement
A mass
(m = 1.35 kg),
originally at rest, sits on a frictionless surface. It is attached to one end of an unstretched spring
(k = 747 N/m),
the other end of which is fixed to a wall (see figure below). The mass is then pushed with a constant force to stretch the spring...
Homework Statement
"Consider the following arrangement of masses. Mass 1 is connected to mass 2 by a very light string and moves over a frictionless pulley so that both masses move with the same speed and move the same distances (m2 to the right and m1 down).
Assume m1 = 15 kg, m2 = 15 kg and...
Homework Statement
[/B]
A solid cylinder of mass m and radius r lies flat on frictionless horizontal table, with a massless string running halfway around it, as shown in Fig. 8.50. A mass also of mass m is attached to one end of the string, and you pull on the other end with a force T. The...
I am attempting to build a linear induction flashlight. I was wondering if the concept below could be used to make the magnet slide down a pole inside a coil with no friction. The interior of a tube magnet with an S polarity would slide down the S end of a rod magnet, that way the inside of the...
Homework Statement
A block of mass M has a string of mass m attached to it. A force F is applied to the string and it pulls the block up a frictionless plane that is inclined at an angle theta. Find the force that the string exerts on the block
Homework Equations
F=ma
The Attempt at a...
Homework Statement
"Two frictionless pucks are placed on a level surface at an initial distance of 20.0 m. The mass of puck 1 is 0.80 kg and it has a charge of +3.0 X 10^-4 C., while puck 2 is 0.40 kg with a charge of +3.0 X 10^-4 C. the initial velocity of puck 1 is 12.0 m/s (E) and the...
The two forces F1 and F2 act on a 27.0-kg object on a frictionless tabletop. If F1=10.2 N and F2=16.0 N find the net force on the object and its acceleration for cases (a) and (b).
(a) is 90 degrees, in the 3rd quadrant
(b) is 120 degrees, from the positive y-axis and moving clockwise
To...
Suppose you have an object sliding along a frictionless floor, but it's approaching a line where the floor changes from being frictionless to some constant coefficient of kinetic friction \mu_k
When it is partially on the frictionless surface and partially on the frictional surface, would you...
1. The problem statement, ramp. variables and given/known data
A block with mass m=5kg is placed at position A and given an initial velocity Va=2m/s Down a frictionless circular ramp. Between positions B and C it travels over a flat rough surface having a coefficient of kinetic friction...
A 10g bullet with v = 1000 m/s strikes a 100g block which is at rest. What is their combined velocity? Can this be done with conservation of energy? momemtum?
Here we have inelastic collision so by conservation of momentum
\[
10\cdot 1000 + 0 = 110\cdot v_f\Rightarrow v_f =...
Homework Statement
A 10g bullet with velocity 1000m/s strikes a 100g block at rest. What is their combined velocity? Can you work the problem with conservation of momentum? Energy?
Homework Equations
The Attempt at a Solution
For conservation of momentum, we have
$$
10g\cdot...
Energy Question -- Chain sliding off frictionless table
Homework Statement
Here is the problem that's confusing me: A frictionless chain of length 2.00m is held with 20.0% of its length hanging over the edge of a table. The chain is then released. Determine its speed the moment the entire...
Homework Statement
A 1130-kg car is held in place by a light cable on a very smooth (frictionless) ramp. The cable makes an angle of 31.0° above the surface of the ramp, and the ramp itself rises at 25.0° above the horizontal.
a). Find the tension in the cable.
b). How hard does...
I derived a formula for the acceleration of a ball of uniform mass rolling down a slope at some angle to the vertical, without slipping and did so in terms of kinetic energy and potential energy!
I was then posed the question if the same ball was to slide down the same surface but this time...
Homework Statement
A tanker which is full of water is parked on a road without friction. The tanker has an outlet pipe which is on the left side. if we open this pipe does the tanker move? describe the tanker's movement.
Homework Equations
The Attempt at a Solution
The tanker moves to right...
Homework Statement
A 1.00-kg aluminum block and a 4.00-kg copper block are connected by a light string over a frictionless pulley. The two blocks
are allowed to move on a fixed steel block wedge (of angle 31.0°). The aluminum block is on the left side, on a flat plane. On the right is the...
Homework Statement
Three blocks are in contact with each other
on a frictionless horizontal surface. A 503 N
horizontal force is applied to the block with
mass of 2.6 kg as shown in the figure below.
The acceleration of gravity is 9.8 m/s^2.
What is the magnitude of the force between
the block...
The problem and solutions: http://i.imgur.com/hxlfbmZ.png
I was able to solve the first two questions, but I guessed part C.
For the first one, I thought of the two blocks as one unit (since there's no friction or air resistance). If they're both falling with the same acceleration, there...
Homework Statement
An object of mass m and initial speed v0 sliding on a horizontal frictionless surface encounters a frictionless ramp. To what vertical height will the object rise before coming to rest?
Homework Equations
.5mv^2 = .5mgh
The Attempt at a Solution
I used above...
A rod initially held vertically is falling on a frictionless surface when given a slight push.I just want to how the rod would move.I am thinking that the rod as a whole will move forward and also rotate about the point on the ground.
Why the rod is moving forward?(if you ask me)
I think that...
Homework Statement
The Daytona 500 is the major event of the NASCAR season. It is held at the Daytona International Speedway in Daytona, Florida. The turns in this oval track have a maximum radius (at the top) of r = 316, and are banked steeply, with θ = 31°. Suppose these maximum-radius turns...
Homework Statement
Hello, this is my first post here.
I am trying to find acceleration for an object sliding down a ramp. I have the length + height of ramp.
Height: 6.5cm
Length: 130 cm
Homework Equations
I'm at loss here. Vectors are included and this is a kinematics question...
[b]1. A mass m1 is attached to a second mass m2 by a rope that goes over a frictionless and massless pulley. Mass m1 is being pushed down a rough inclined plane with force F. The Angle of the incline is θ1, the force pushing m1 is acting at an angle θ2 . and the coefficient of kinetic friction...
I'm currently reading John Taylor's Classical Mechanics. Near the end of Chapter 3, he states "Because the table is mounted on a frictionless axle, there is no torque in the z direction. Therefore, the z component of the external torque on the system is zero and the [system's angular momentum in...
Homework Statement
A wedge of mass m= 1kg that is initially at rest is driven up a friction less ramp by a horizontal force
F=50Ndue to a small attached rocket. The ramp is equilateral, with sides of length 50m
What is the magnitude of the normal force exerted by the ramp on the wedge...
Homework Statement
M1 and M2 are two masses connected as shown. The pulley and the incline are frictionless. Find the mass M1, given that M2 (4.00 kg) accelerates downwards at 3.53 m/s2, and that θ = 32.0°.
Homework Equations
F = m*a
Fk = u*N
The Attempt at a Solution...
Homework Statement
The horizontal surface on which the block slides is frictionless. If F = 20 N and M = 5.0 kg, what is the magnitude of the resulting acceleration of the block? The force is applied 30° to the horizontal.
Homework Equations
F=ma
The Attempt at a Solution
I began...
Homework Statement
A box of mass m2 = 3.7 kg rests on a frictionless horizontal shelf and is attached by strings to boxes of masses m1 = 1.2 kg and m3 = 2.1 kg as shown below. Both pulleys are frictionless and massless. The system is released from rest. After it is released, find the...
hey guys...i want to know,what happens when a cylinder is rolled on a frictionless surface in a vacuum,for how long will it keep on rolling...and what happens if we applied some force...?..please help meeee...:cry:
Mario's new additions to the company's standard ramp include two hard nylon rails which run the length of the ramp; the crates which have to be moved will slide along the hard nylon rails with almost no friction. In the space on the ramp which is in between the nylon rails, Mario has installed a...
This is a problem I encountered while studying/practicing for my upcoming MCAT exam:
Homework Statement
A 1kg block slides down a ramp and then around a circular loop of radius 10m. Assume that all surfaces are frictionless.
1)What is the minimum height of the ramp required so that...
Homework Statement
This is a 2 part question.
A block of mass m rests on a frictionless wedge that has an inclination of theta and mass M.
a) Find the acceleration of the wedge M to the right such that the block m remains stationary relative to the wedge.
c) You now find out that a force...
If I had to push a box with a certain weight 'm' up an incline, would I just need a force 'slightly greater' than 'mg'? (Assuming I applied the force parallel and up the incline)
Can a massless and frictionless pulley rotate if a string goes over it connecting two blocks of unequal weight? I think it shouldn't rotate and the string just skids/slides over the top of the pulley. Is it correct?
Homework Statement
Use energy to show whether or not the data agrees with the law of conservation and explain.
Mass-.3105kg spring constant-6.412 Equailibrium position-1.082
Max positive postion (1) farthest distance to the right of the equlibrium position
time-3.70s...
This is a problem that's appeared in a game I am writing, and is a bit beyond the mechanics I can sort-of remember from high school.
The context is I have an object in 2D space which has a position p and a velocity u, and a goal position G I want that object to be in as soon as possible. At...
A physics student shoves a 0.5 kg block from the bottom of a frictionless 30 degree plane. The student performs 4 joules of work and the block slides a distance "s" along the inclined pane before it stops. Find the value of s
W = (F * Cosθ) * D
I plugged in 4 joules for work, multiplied .5 kg by...
Homework Statement
As of the past few hours I've been trying to make sense one how to calculate the velocity of a sphere that moves down a frictionless ramp. My biggest problem with this seems to be that I'm confusing myself with the linear velocity and the angular velocity. Note that the...
There is a ball placed on a frictionless slope. As we all know that, since there is no friction, the ball will not rotate. But after drawing a free-body-diagram and decomposing the gravity, we find that the net force mgsinθ has a torque relative to the contacting point with the value of mgsinθR...
Homework Statement
I got into a disagreement with a fellow student today. He insisted that it's possible to simplify the system on the right as the system on the left. I agree with him that the difference in potential energy (and, therefore, the kinetic energy) is the same but I insist that...