A block of mass m = 2.00 kg is attached to a spring of force constant k = 425 N/m as shown in the figure below. The block is pulled to a position xi = 5.95 cm to the right of equilibrium and released from rest. A spring labeled k has its left end attached to a wall and its right end attached to a block labeled m. The block is initially at a location labeled x = 0. It is then displaced to the right to a location labeled x = xi. (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is ?k = 0.350. m/s

A block of mass m = 2.00 kg is attached to a spring of force constant k = 425 N/m as shown in the figure below. The block is pulled to a position xi = 5.95 cm to the right of equilibrium and released from rest. A spring labeled k has its left end attached to a wall and its right end attached to a block labeled m. The block is initially at a location labeled x = 0. It is then displaced to the right to a location labeled x = xi. (a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless. m/s (b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is ?k = 0.350. m/s

Related questions

Q: A spring hangs from the ceiling with an unstretched length of ?0=0.71 m�0=0.71 m . A ?1=7.9 kg�1=7.9…

Q: A spring with spring constant 26 N/m is compressed a distance of 8.5 cm by a ball with a mass of…

Q: simple pendulum is suspended from the ceiling by means of a string and the pendulum has a length of…

Q: A wooden block with mass 1.85 kg is placed against a compressed spring at the bottom of a slope…

A: Part A. The distance between point A and B is d=7.55 m. So, according to the given conditions, the…

Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

A: The spring can be stretched up to a distance of 0.073 m.Explanation:

Q: A 1.60 kg block slides on a rough horizontal surface. The block hits a spring with a speed of 2.10…

A: Given: m=1.60kgv=2.10 m/sx=11.0 cm=0.11mμ=0.460

Q: A 0.27 kg mass is held against a compressed spring with a spring constant of 84.9 N/m. The mass is…

A: Using work energy theorem Ki+Ui+Wnc=Kf+Uf0+12kx2-μmgx=12mv2+0v=kx2m-2μgx

Q: In preparation for shooting a ball in a pinball machine, a spring (k = 713 N/m) is compressed by…

Q: A bullet with mass 4.59 g is fired horizontally into a 1.966-kg block attached to a horizontal…

Q: A block of mass m=0.679kg is fastened to an unstrained horizontal spring whose spring constant is…

Q: A 1.2 kg block is held at rest against a spring with a force constant k = 750 N/m. Initially, the…

Q: A horizontal spring with force constant k = 695 N/m is attached to a wall at one end and to a block…

A: spring constant (k) = 695 Nmmass (m) = 2.15 kg amplitude of motion (A) = 4 cm = 0.04 m

Q: 24. A block of mass m=2 kg is held compressing a spring with k=600 N/m a distance z=0.2 m on a rough…

Q: A spring with spring constant k = 190 N/m is suspended vertically with its upper end fixed to the…

A: NOTE: As per guidelines, I can solve the first three parts of the problem. If you need help with…

Q: A bullet with mass 5.24 g is fired horizontally into a 1.905-kg block attached to a horizontal…

A: Both bullet and the block travels at the same speed after the bullet hits the block. The kinetic…

Q: A horizontal spring (with spring constant 180 N/m) is attached to the wall at the left, and a 10 Kg…

A: Given: The spring constant is 180 N/m. The mass of the object attached to the spring is 10 kg. The…

Q: A 205 g205 g object is attached to a spring that has a force constant of 77.5 N/m.77.5 N/m. The…

A: Mass of object is Force constant is Amplitude or distance traveled by object to right of equilibrium…

Q: A horizontal spring is attached to a mass on a frictionless horizontal surface. The spring constant…

A: Given,

Q: A 0.87 kg block on a connected to a spring (whose spring constant is 3.80 N/m). The horizontal…

Q: A 0.72 kg mass is held against the a compressed spring and released from rest. The linear spring is…

A: Some portion of strain energy stored in the spring will be converted in to kinetic energy of the…

Q: The springs of a pickup truck act like a single spring with a force constant of k = 1.05 × 105 N/m.…

Q: An object of mass M= 6.0 kg, initially at rest, is pressed against a spring with spring constant k…

Q: A spring with spring constant 29 N/m is compressed a distance of 9.0 cm by a ball with a mass of…

A: Given data, Spring constant k=29 N/m Change in length x=9 cm Mass m=206.5 g

Q: with a mass of 219.5 g (see figure below). The ball is then released and rolls without slipping…

Q: A 185.4 g mass-spring system is rapidly oscillating. The spring used in the system has a spring…

A: Given data: The mass is m = 185.4 g The spring constant is k = 12.4 N/m The displacement is x =…

Q: Mickey, a daredevil mouse of mass 0.0203 kg, , is attempting to become the world's first "mouse…

A: Data Given , Mass of the mouse ( m ) = 0.0203 kg Gun's spring constant ( k ) = 62.1 N/m Stretch…

Q: 5. 0 m feeler A mass m = 25 kg is sitting on a slope with 0 = 20⁰. There is no friction between the…

A: Solution:-Given thatm=25 kg, θ=20°, lo=5 cm∆x=6.2 cm=0.062 m

Q: A 50.0 cm long spring with spring constant 237 N/m has a mass 1.8 kg attached to it, and it can…

A: Given: The resting length of the spring: x0 = 50.0 cm. The spring constant: k = 237 N/m. The mass…

Q: A moving 2.90 kg block collides with a horizontal spring whose spring constant is 327 N/m.The block…

Q: A spring lies on a horizontal table, and the left end of the spring is attached to a wall. The other…

Q: A 2.0 kg ball is launched by means of a vertically oriented spring with spring constant k = 16.0…

Q: A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other…

A: Write the given values with the suitable variables. W=3 Jx=0.13 ma=12 m/s2 Here, W, x, and a are the…

Q: 10. A block with mass 0.50 kg is forced against a horizontal spring of negligible mass, compressing…

A: In the following question , when block is forced against horizontal spring it will loose some energy…

Question

A block of mass m = 2.00 kg is attached to a spring of force constant k = 425 N/m as shown in the figure below. The block is pulled to a position x_i = 5.95 cm to the right of equilibrium and released from rest.

A spring labeled k has its left end attached to a wall and its right end attached to a block labeled m. The block is initially at a location labeled x = 0. It is then displaced to the right to a location labeled x = x_i.

(a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless.
m/s

(b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is ?_k = 0.350.
m/s

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Know the concept:

VIEW

Step 2: Find the expression for the total initial energy of the system:

VIEW

Step 3: Find the expression for the total final energy of the system:

VIEW

Step 4: Find the expression for the speed of the object at the equilibrium position:

VIEW

Step 5: (a) Calculate the speed of the object when the horizontal surface is frictionless:

VIEW

Step 6: (b) Calculate the speed of the object when the surface has non-zero friction:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 49 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

The 20 kg block is sliding down an inclined plane at a 30 ° inclined friction and is stopped by a spring with a spring constant k = 2 x 10 ^ 4 N / m. The block shifted to a total distance of 4 m from the point where it was released to the point where it stopped with the resistance of the spring. How many meters is the bow compressed when the block stops? (g = 10 m / s ^ 2)
A mouse of mass 0.025 kg loads himself in a spring-powered gun that is pointed at some angle. He compresses the gun spring so he can shoot up into the air. The gun's spring has a constant of k = 80 N/m and is initially compressed a distance of 0.15 from its relaxed position. If the mouse when launched has a constant horizontal velocity of 1.9 m/s during flight, what is the maximum height above the initial position achieved by the mouse?
A block with a mass of 30.0 kilograms (kg) is held against a spring with a force constant of k = 1.25×105 N/m. The spring is initially compressed 17.5 centimeters (cm) from equilibrium. Then the block is released, setting it into motion. The block initially slides along a frictionless surface, but then it encounters a 1.50 meter long rough patch where the coefficient of kinetic friction is 0.134. It then slides down a frictionless ramp, which is tilted at an angle of 19.5 degrees and has a length of 2.50 meters. How fast is the block moving when it reaches the bottom of the ramp? Give your answer in meters per second (m/s). Hint: use WNC = ΔK + ΔU.
A spring with a spring constant of 383 N/m is initially compressed by a distance of 0.076 m from its equilibrium position. A mass of 0.038 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.
A spring with a spring constant of 349 N/m is initially compressed by a distance of 0.072 m from its equilibrium position. A mass of 0.056 kg is then held against the compressed spring and released from rest while upon a horizontal, frictionless surface. Assuming that the spring then pushes the mass across the surface, with speed does the mass leave the spring? Assume proper SI Units.
A block of mass m is attached to a spring of spring constant k = 100 N/m. The block-spring system oscillates on a frictionless horizontal surface with a total mechanical energy of 4 J. At what positions, x, is the kinetic energy 68% of the total energy? (K = 0.68E → x = ?) x = +0.24 m O x = ±0.08 m x = ±0.16 m O x = ±0.32 m simple pendulum is oscillating with a maximum angular displacement @max. At t in moving to the left
A cube of a mass m=0.37 kg is set against a spring with a spring constant of k1=656 N/m which has been compressed by a distance of 0.1 m. Some distance in front of it, along a frictionless surface, is another spring with a spring constant of k2=181N/m. The cube is not connected to the first spring and may slide freely. I found (a) and (b). I just need help with (c). a). How far d2, in meters, will the second spring compress when thee cube runs into it? 0.19 m. (answer) b). How fast v, in meters per second, will the cube be moving when it strikes the second spring? 4.21 m/s (answer) c). Now assume friction is present on the surface in between the ends of the springs at their equilibrium lengths, and the coefficient of kinetic friction is uk=0.5. If the distance between the springs is x=1m, how far d2, in meters, will the second spring now compress?
At sea level, at a latitude where g= 9.80 m/s^2, a pendulum that takes 3.00 s for a complete swing back and forth has a length of 2.24 m. What is the value of g in m/s2 at a location where the length of such a pendulum is 2.52 m? Question 13 options: 8.72 11.0 12.2 10.1 9.60
A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It takes 3.1 J of work to compress the spring by 0.15 m . If the spring is compressed, and the mass is released from rest, it experiences a maximum acceleration of 12 m/s2. Find the value of the spring constant. Find the value of the mass.
A 0.79 kg mass is held against the compressed spring and released from rest. the linear spring positioned horizontally across a surface. it has a spring constant of 325 N/m and is initially compressed by a distance of 0.16 m from its equilibrium position. if the coefficient of kinetic friction is .585 with what speed does the mass leave the spring?
A block of mass ?=3.70 kgm=3.70 kg slides along a horizontal table with velocity ?0=4.00 m/sv0=4.00 m/s. At ?=0x=0, it hits a spring with spring constant ?=43.00 N/mk=43.00 N/m and it also begins to experience a friction force. The coefficient of friction is given by ?=0.400μ=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 right.
A mass of 0.8 kg is attached to a horizontal spring whose stiffness is 10 N/m. Friction is negligible. At t = 0 the spring has a stretch of 0.26 m and the mass has a speed of 5 m/s. Find the initial kinetic energy of the mass. K = J. Find the initial elastic potential energy stored in the spring. Uj = J Find the total initial mechanical energy of the mass-spring system. Ej = J Find the kinetic energy of the mass- spring system when the spring is stretched to the maximum. Kf = J %3D What is the amplitude (maximum stretch) of the oscillation? Sf,max = m. %3D