Block Definition and 998 Threads

1.A 10 kg block (A) on a table is connected by a string to a 78-kg mass (B), which is hanging over the edge of the table. Assuming that frictional forces may be neglected, what is the magnitude of acceleration of the 10kg black when the other block is released? 2.So the acceleration of the...

Hi everyone, I am trying to solve the following problem. Is there exist a transformation matrix T, different then the block diagonal, with all blocks the same, such that the form of the matrix A=[A1 A2 ; I 0], is preserved? All blocks of A are in R^{nxn}, I is identity and 0 is zero matrix. In...

Homework Statement A 5.0 kg block is placed near the top of a frictionless ramp, which makes an angle of 30.0o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3000.0 N/m. The block slides down the ramp and compresses the spring. Find the...

Homework Statement A block starts at rest and slides down a frictionless track except for a small rough area on a horizontal section of the track It leaves the track horizontally, flies through the air, and subsequently strikes the ground. The acceleration of gravity is 9.8 m/s2 . What is...

Homework Statement Three blocks A,B and C, whose masses are 9 kg, 9 Kg and 18 kg respectively as shown in the figure, are released from rest. The co-efficient of friction between the block A and the horizontal surface is 0.5 and The co-efficient of friction between the block B and the...

Homework Statement A moving 1.90 kg block collides with a horizontal spring whose spring constant is 237 N/m. The block compresses the spring a maximum distance of 13.00 cm from its rest position. The coefficient of kinetic friction between the block and the horizontal surface is 0.430. What...

A 2.50 kg block is initially at rest on a horizontal surface. A horizontal force F of magnitude 6.71 N and a vertical force P are then applied to the block. The coefficients of friction for the block and surface are μs = 0.4 and μk = 0.25. Determine the magnitude of the frictional force acting...

Hello everyone, I would like to post this problem here in this forum. Having the following block matrix: \begin{equation} M=\begin{bmatrix} S_1 &C\\ C^T &S_2\\ \end{bmatrix} \end{equation} I would like to find the function $f$ that holds rank(M)=f( rank(S1), rank(S2)). S_1 and S_2 are...

Hi everybody, I’m trying to compute the square root of the following squared block matrix: \begin{equation} M=\begin{bmatrix} A &B\\ C &D\\ \end{bmatrix} \end{equation} (that is M^(1/2))as function of A,B,C, D which are all square matrices. Can you help me? I sincerely...

Two forces, F1 and F2, act on the m = 7.20 kg block shown in the figure below. The magnitudes of the forces are F1 = 56.8 N and F2 = 39.2 N. θ = 70.4°. What is the magnitude of the horizontal acceleration of the block? Relevant equations V0x=v0cosθ V0y=v0cosθ F=ma The attempt...

Homework Statement An insulated copper block receives energy at a rate of 100 W from an embedded resistor. If the block has a volume of 10-3m3 and an initial temperature of 20°C, how long would it take, in minutes, for the temperature to reach 60°C? Homework Equations Copper specific...

Homework Statement Problem: Find and check the inverses (assuming they exist) of these three block matrices.: [1] {{I, 0},{C, I}} [2] {{A, 0}, {C, D}} [3] {{0, I}, {I, D}} Answer: [1] {{I, 0}, {-C, I}} [2] {{A^(-1), 0}, {-D^(-1) C A^(-1), D^(-1)}} [3] {{-D, I}, {I, 0}}...

Hello everybody, I’d like to present this math problem that I’ve trying to solve… This matter is important because the covariance matrix is widely use and this leads to new interpretations of the cross covariance matrices. Considering the following covariance block matrix ...

Homework Statement A block is on the platform of an accelerating truck. The coefficient of static friction between the block and the platform is 0,25. What is the minimum time in which the truck can accelerate so that the block won't slide. During the acceleration the truck travels 75 meters...

I have a steel block (2.75m x 1.6m x 0.5m) sat at 1000°C in ambient air (22°C) How long will it take for a surface to drop to say 800°C should i use the heat transfer eq: Q=KA\DeltaT to find the power in joules per second, then transpose to find seconds somehow? Any help will be...

Homework Statement #24 https://aapt.org/physicsteam/2010/upload/2009_F-maSolutions.pdf Homework Equations T = rfsinθ The Attempt at a Solution FBD: Axes: (along the incline is x), perpendicular to that is y: Down: mgcosθ Up: N Right: mgsinθ Left: Ff (friction) If the box is...

Four blocks EACH of mass m = 10.0 kg are arranged as shown in the picture, on top of a frictionless table. A hand touching block 1 applies a force of Fh1 = 90.0 N to the right. The coefficient of friction between the blocks is sufficient to keep the blocks from moving with respect to each other...

Block on a Plane -- Friction problem edit: deleted

Homework Statement Here's a picture of the set up. I need to find out what angle I need to have the plane raised to so that the blocks aren't moving. Homework Equations F = ma The Attempt at a Solution For the first block F_k=μ_kF_N F_T+F_N-μ_kF_N+2mgcosθ+2mgsinθ=0 Since...

I am curious if someone can help be estimate heat sinking and dissipation in an Aluminum structure? What I am trying to do is is cool a hot liquid by just allowing it to heat the structure it is in since there is a reasonable amount of mass. Though the Aluminum structure is not designed...

Homework Statement I have got a lab on 'braking distance of a wooden block' and I have to find an equation which fits our experiment and find the uncertainty. I have an equation but I can't find the uncertainty. This is how, I went about my lab... To find the relationship between the mass...

A 300kg block is sitting on a slope of 20 degrees, the coeff of friction is 0.75, if the block is connected to a mass hanging vertically via a pulley, what is the mass of the hanging block such that it will overcome friction but not move the block F = mgsin20 for the force acting down the...

The experiment is the following: First part - The demonstrator puts an egg in the table, and places a heavy block resting above the egg, then he applies a force in the heavy block using the hammer, and the egg doesn't break. Second part - Now he takes the heavy block away, and instead...

Hi, Homework Statement A man, whose mass is m, is running up a block of mass M (as shown in the diagram, please see attachment) with constant acceleration. The block is laid on a smooth ground. The man starts running from rest and the time it takes for him to traverse a distance L (across the...

Hi, Homework Statement I am trying to find how long it will take 8 kg of ice whose temperature is -10 C, kept in a sealed isolating box placed in room temperature (25 C), to turn into water whose temp. is 20 C. The box is a cube whose side is 20 cm, the thickness of the box is 2 cm, and κ =...

"Spring connected to a block" problem A block has an initial velocity of V and is connected to a damper and a spring like this: http://prism2.mem.drexel.edu/~rares/MassSpringDamper.jpg The problem is to figure how far the spring vill maximally be compressed. The damping is linearily...

Okay, let's say I'm holding a wooden block. I then raise it above my head, then lower it to it's original position. Neither the kinetic or gravitational potential energy of the block has changed, so I have done no work on the block. However, I expended chemical energy to perform this action...

Homework Statement A uniform rod of mass m and length l is pivoted at point O. The rod is initially in vertical position and touching a block of mass M which is at rest on a horizontal surface. The rod is given a slight jerk and it starts rotating about point O. This causes the block to...

What is the current physics consensus of the block universe? I know its what Einsteins theory tells us and comes with relativity, Deutsch believes in a quantum many world block universe, but Rovelli and Dieks argue against block time? Is block time still the main accepted theory of time we...

first of all sorry for my bad english. i know i need to improve it :) now, let's talk aobout my question. You know there is a few ways to block sound indoor with sponge or some materials. i searched on internet but i coulndt find anything to block sound outdoor. i have a project and i need...

Homework Statement A spring( k=200 n/m) is fixed at the top of a frictionless plane inclined at angle θ=40 degrees . A 1.0 kg block is projected up the plane from an initial position that is distance d=0.60m from the end of the relaxed spring with an initial kinetic energy of 16J. a) what is...

Homework Statement A mass-spring-damper subsystem is falling inside a container m1. The system is confined to the vertical direction. Use Lagrange’s equations to find the EOM. A. Use x1 and x2 as generalized coordinates. B. The linear spring is unstretched when x2 – x1 = l...

Homework Statement If a block is let go from the top of a wedge elevated at a certain angle and slides down will it reach the bottom at the same time as if the wedge was moving and then we let the block slide? so neglect friction and air resistance and basically just let the block slide down...

Homework Statement A light ray passes downward into a block of transparent plastic with an angle of incidence of θ1 = 77.7°. If total internal reflection is to occur when the light strikes the left edge of the block at interface B, what is the index of refraction of the plastic? Homework...

Does anyone know how Iron compares to lead as a medium to block / absorb radiation? Do you know what wavelengths or spectrum iron is most effective against?

A 7.50kg block slides down a frictionless ramp of height 2.25m at a velocity of 1.50 m/s. it crosses a rough patch that is 2.5m long and exerts a force of 3N. It then continues to the other side of the ramp which is angled at 35 degrees(I don't think this matters b/c it is frictionless). How can...

Homework Statement In the problem, a hanging block, m, is attached to a pulley that is mounted on a horizontal axle with negligible friction. The pulley has a mass of M=75kg and a radius of R=6.0cm. The mass of the hanging block is m=1kg. The block is released from rest at a height above the...

Homework Statement A student pushes a block with 240 N of force across a horizontal surface with a coefficient of kinetic friction of 0.4. The block accelerates at a rate of 0.88 m/s2. Find the mass of the block. Homework Equations μK = FK / FN F=ma The Attempt at a Solution...

Homework Statement The density of solid gold at 20°C is ρ = 19.3 g/cm3. When it is liquid at 1064°C the density of the liquid state is decreased: 17.3 g/cm3. How much work does a block of gold of mass 407 kg do if it is heated at p = 1.0 atm from 20°C to 1064°C? Homework Equations...

Homework Statement A 200 g rubber ball is tied to a 1.0 m long string and released from rest at angle θ. It swings down at the very bottom has a perfectly elastic collision with a 1.0 kg block. The block is resting on a frictionless surface and is connected to a horizontal 20 cm long spring of...

A wheel of radius 0.20 m is mounted on a frictionless horizontal axis. A massless cord wrapped around the wheel is attaches to a 2.0 kg block that slides on a horizontal frictionless surface inclined at angle θ = 20 degrees with the horizontal. The box accelerates down the surface at 2.0...

In Fig. 10.45, block 1 has mass m1=460g, block 2 has mass m2=500g, and the pulley, which is mounted on a horizontal axle with negligible friction ahs radius R=5.0cm. When released from rest, block 2 falls 75.0cm in 5.00 s without the cord slipping on the pulley. (e) What is its rotational...

Homework Statement Basically there's a ramp; its inclined plane has length "a", the base has length "b" and its height has length "c". The ramp is stationary, but it has wheels under it. The ramp weighs 120N. The center of mass of the ramp is located at 2/3 of "b" on the horizontal axis...

Homework Statement a 50 g bullet hits and becomes embedded in a wooden block of as 450 g which is at rest on a surface (μ = 0.41) and is attached to a spring bumper. The block and bullet compress the spring bumper a distance of 20 cm. Is the spring constant is 250 N/m find initial speed of...

Homework Statement a)Two blocks are moving on a frictionless surface. The first block's mass is 1.07kg and its initial velocity is 5.98m/s. The second block's mass is 2.26kg and its initial velocity is 2.59m/s. What is the velocity of the 1.07kg block after the collision if the velocity of...

Spring, Block, KE, PE, Incline Problem: Why is KE=ZERO?? A 250 g block is pressed against a spring of force constant 1500 N/m until the block compresses the spring 8.0 cm. The spring rests at the bottom of a ramp inclined at 60.0 degrees to the horizontal. Using energy considerations, determine...

Pressurized air in aluminum block.. help so it doesn't explode! Hey everybody! Need some help with a design I'm comming up with for myself- it's an air valve block. What I'm having trouble with is figuring out how close I can make the holes to each other? I don't have any computing...

A block of mass 10kg is pulled along a straight horizontal road by a constant horizontal force of magnitude 70N in the direction of the road. The block moves in a straight line passing through two points A and B on the road, where AB = 50m. The block is modeled as a particle and the road is...

Homework Statement A 25 g bullet is fired at 150 m/s into a 2.0 kg block of wood hanging from a string 3.0 m long. The bullet becomes embedded in the block. To what height do the bullet and block swing? Homework Equations m1v1 = (m1+m2)vf 1/2 mv^2 = mgh The Attempt at a Solution...

Homework Statement A mass m = 16.0 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μk = 0.14, for a distance d = 8.3 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle θ = 38.0° with the horizontal. The entire time the...