Question

A 2.90 kg block on a horizontal floor is attached to a horizontal spring that is...

A 2.90 kg block on a horizontal floor is attached to a horizontal spring that is initially compressed 0.0340 m . The spring has force constant 850 N/m . The coefficient of kinetic friction between the floor and the block is 0.42 . The block and spring are released from rest and the block slides along the floor.

Part A

What is the speed of the block when it has moved a distance of 0.0190 m from its initial position? (At this point the spring is compressed 0.0150 m .)

Homework Answers

Answer #1

here,

mass , m = 2.9 kg

spring constant , K = 850 N/m

s = 0.019 m

uk = 0.42

x = 0.034 m

let the final speed of block be v

work done by friction = initial potential energy stored in the spring - final potential energy stored - kinetic energy gained

uk * m * g * s = 0.5 * k * x^2 - 0.5 * k * (x - s)^2 - 0.5 * m * v^2

0.42 * 2.9 * 9.81 * 0.019 = 0.5 * 850 * 0.034^2 - 0.5 * 850 * (0.034 - 0.019)^2 - 0.5 * 2.9 * v^2

solving for v

v = 0.34 m/s

the final speed gained is 0.34 m/s

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A block of mass m = 4.5 kg is attached to a spring with spring constant...
A block of mass m = 4.5 kg is attached to a spring with spring constant k = 610 N/m. It is initially at rest on an inclined plane that is at an angle of θ = 29° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.13. In the initial position, where the spring is compressed by a distance of d = 0.19 m, the mass is at...
A 28 kg block on a horizontal surface is attached to a horizontal spring of spring...
A 28 kg block on a horizontal surface is attached to a horizontal spring of spring constant k = 4.8 kN/m. The block is pulled to the right so that the spring is stretched 7.2 cm beyond its relaxed length, and the block is then released from rest. The frictional force between the sliding block and the surface has a magnitude of 37 N. (a) What is the kinetic energy of the block when it has moved 1.6 cm from...
A block of mass m = 2.90 kg slides along a horizontal table with velocity v...
A block of mass m = 2.90 kg slides along a horizontal table with velocity v 0 = 2.00 m/s . At x = 0 , it hits a spring with spring constant k = 33.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by μ = 0.400 . How far has the spring compressed by the time the block first momentarily comes to rest? Assume the positive direction is to the...
A block with a mass m = 2.12 kg is pushed into an ideal spring whose...
A block with a mass m = 2.12 kg is pushed into an ideal spring whose spring constant is k = 3810 N/m. The spring is compressed x = 0.069 m and released. After losing contact with the spring, the block slides a distance of d = 2.07 m across the floor before coming to rest. a) Write an expression for the coefficient of kinetic friction between the block and the floor using the symbols given in the problem statement...
. A block of mass 2.00 kg is attached to a horizontal spring with a force...
. A block of mass 2.00 kg is attached to a horizontal spring with a force constant of 500 N/m. The spring is stretched 5.00 cm from its equilibrium position and released from rest. Use conservation of mechanical energy to determine the speed of the block as it returns to equilibrium (a) if the surface is frictionless (b) if the coefficient of kinetic friction between the block and the surface is 0.350
A book with mass 2.90 kg is attached to a spring. The spring has force constant...
A book with mass 2.90 kg is attached to a spring. The spring has force constant k= 290 N/m and negligible mass. The spring gets compressed x=0.300 m. The book is released and slides along å surface with kinetic friction coefficient 0.3. a) If the spring and the surface are horisontal, how far from the starting point ( when the spring is compressed) will the book slip before it stops? b) If the spring had been mounted on a slope...
A 1.0 kg block of wood is to be launched across a slippery floor by a...
A 1.0 kg block of wood is to be launched across a slippery floor by a compresssed spring. The stiffness constant of the spring is 100 N/m, and the spring is initially compressed by 0.50 meters. If the block slides 10 meters before coming to rest, what is the coefficient of sliding friction? If the block were to slide 0.50 meters - the very same distance the spring was compressed - what would be the coefficient of sliding friction?
A 1.8 kg block at rest on a table is attached to a spring of spring...
A 1.8 kg block at rest on a table is attached to a spring of spring constant 1.1 N/m that is parallel to the table top. The spring is initially unstretched. A constant 27.9 N force is applied, causing the spring to stretch. Determine the speed of the block after it has moved 0.2 m from equilibrium if 1. the tabletop is frictionless 2. the coefficient of kinetic friction is 0.24
A block of mass m = 0.53 kg attached to a spring with force constant 119...
A block of mass m = 0.53 kg attached to a spring with force constant 119 N/m is free to move on a frictionless, horizontal surface as in the figure below. The block is released from rest after the spring is stretched a distance A = 0.13 m. (Indicate the direction with the sign of your answer. Assume that the positive direction is to the right.) The left end of a horizontal spring is attached to a vertical wall, and...
In the figure, a 4.3 kg block is accelerated from rest by a compressed spring of...
In the figure, a 4.3 kg block is accelerated from rest by a compressed spring of spring constant 620 N/m. The block leaves the spring at the spring's relaxed length and then travels over a horizontal floor with a coefficient of kinetic friction μk = 0.284. The frictional force stops the block in distance D = 7.4 m. What are (a) the increase in the thermal energy of the block–floor system, (b) the maximum kinetic energy of the block, and...