A 1.5 kg block is dropped from a height of 2.5 m onto a spring with a spring constant of 1293.6 N/m. When the block is momentarily at rest, the spring has compressed by 25 cm. Find the speed of the block when the compression of the spring is 15 cm. Write down the expressions of the mechanical energy at each of the three locations of interest. Include a diagram of the situation along with your choice of coordinate system.**Explanation of Diagram:**The diagram illustrates a simple system involving a block and a vertical spring. The block begins at a height of 2.5 meters above the point where the spring is uncompressed. As the block falls, it compresses the spring. The three locations of interest are:1. Initial position where the block is released from rest at 2.5 m.2. The position where the spring is compressed by 15 cm.3. The position where the spring is compressed by 25 cm, and the block is momentarily at rest.The coordinate system is typically chosen with the positive y-axis pointing upwards, and the origin at the uncompressed position of the spring. The mechanical energy at each stage includes gravitational potential energy, kinetic energy, and elastic potential energy of the spring.

Answered: A 1.5 kg block is dropped from a height…

Similar questions

A box slides down a plank of length d that makes an angle of θ with the horizontal as shown. μk is the kinetic coefficient of friction and μs is the static coefficient of friction. Enter an expression for the minimum angle θ (in degrees) the box will begin to slide. Enter an expression for the nonconservative work done by kinetic friction as the block slides down the plank. Assume the box starts from rest and θ is large enough that it will move down the plank. For a plank of any length, at what angle θ (in degrees) will the final speed of the box at the bottom of the plank be 0.55 times the final speed of the box when there is no friction present? Assume μk = 0.35.
Number 4 part a and b show all work ?
The above graph shows the potential energy U(x) of a particle as a function of its position x. The total mechanical energy in the system is marked with the dashed horizontal line at 4 Joules. what is the Inventory Initial Energy of this problem? Describe Energy in System at First Critical PointUse Relevant Formats and Tools to Communicate Initial Energy State
e A mass of 8.6 kg is lifted from the ground using a power of 72.8 W in 22.2 seconds. To what height was the mass lifted? Answer: Next page
Can you please answer and explain these? Thanks
The block is released from rest from the position in the picture and slides 6 meters down the frictionless incline. It strikes a spring that is at its natural length. Assume the spring is ideal and the mass of the spring is negligible. Mass of block = 20kg Incline is 30 degrees above horizontal spring constant = 200 N/m What is the max speed of the block? How far has the spring compressed when it reaches this max speed?
Help with the following question
Below is a conservation of energy problem. The solution to this problem is provided. Assess whether the solution provided is correct or incorrect AND EXPLAIN WHY. 1. A 4.6 kg block is at rest against a horizontal spring that is compressed by 0.40 m. The spring has a spring constant of k₁ = 2750 N/m. After leaving the spring, it travels up a 28° incline to a height of 2.8 m. At the top of the hill is a second spring with a spring constant of k₂ = 350 N/m. The horizontal portions are frictionless, but the hill has a coefficient of kinetic friction equal to uk= 0.16. x₁ = 0.40 m (CO))) N k₁ = 2750- m Simplifies to Mk = 0.16 a. How fast does the block leave the spring on the bottom of the hill? x₁ = 0.40 m h₁ = 0 m Vi= 0 m/s 28⁰ k = 2750 N/m m = 4.6 kg 2 Wnc+mghi +1⁄₂kx² W nc +½ = 0 J ½/2kx; ² = 2 mv; = = h = 2.8 m ½ mvf2 X₁ = 0 m hf = 0 m Vi=? m/s mghƒ+½ kxf² +½ mv₁² vf = √k/m* Xi =√(2750 N/m ÷4.6 kg) * (0.40 m) Vf = 9.78 m/s (XX))) = 350 N m
A box of mass 2.0 kg, traveling horizontally, hits an uncompressed spring with an initial velocity, Vo, and compresses the spring to a maximum distance of 0.05 meters (at the maximum distance the box stops). The value of the spring force constant is k= 50 N/m. There is no friction in the system. Use the work-energy theorem (chapter 6) to find the initial velocity, Vo, of the box.
In the figure below the block has m = 3.0 kg and the spring has k = 350 N/m. If the block, initially at rest, is released from a height of 0.8 m, what is the maximum compression of the spring? Ignore friction.
Question 7 m 0Q000 -Xo +Xo A block of mass m is on a rough horizontal surface and is attached to a spring with spring constant k. The coefficient of kinetic friction between the surface and the block is u. When the block is at position a = 0, the spring is at its unstretched length. The block is pulled to position I = +x0, as shown above, and released from rest. The block then travels to the left and passes through a = 0 before coming momentarily to rest at position a = Which of the following is a correct expression for the kinetic energy of the block as it first travels through position a=0? ka umgro
You have a spring of spring constant k, and a block of mass 0.200 kg. You set the spring up vertically and compress the spring 0.300 m. It launches the block up to a max height of 2.20 m. What is the spring constant?

SEE MORE QUESTIONS