18. A frictionless inclined plane forms angle 0 = 20° with the horizontal as shown in the figure. A spring with force constant k = 500 N/m is fastened securely at the bottom of the incline so that the spring is parallel to the surface. A block of mass m = 2.5 kg is placed on the incline at a distance d = 0.3 m from the spring. From this position, the block is projected toward the spring with initial speed v = 0.750 m/s. After making contact with the spring, the block gradually slows down as it compresses the spring. Calculate the maximum compression of the spring. ww.

18. A frictionless inclined plane forms angle 0 = 20° with the horizontal as shown in the figure. A spring with force constant k = 500 N/m is fastened securely at the bottom of the incline so that the spring is parallel to the surface. A block of mass m = 2.5 kg is placed on the incline at a distance d = 0.3 m from the spring. From this position, the block is projected toward the spring with initial speed v = 0.750 m/s. After making contact with the spring, the block gradually slows down as it compresses the spring. Calculate the maximum compression of the spring. ww.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Similar questions

A spring with constant k=200 N/m is fixed to the top of an incline that makes an angle of 40.0 degrees with the horizontal. A projectile with mass 1.10 kg is projected up the plane, form an initial horizontal position that is d from the end of the uncompessed spring. a) If the incline is frictionless and the initial kinetic energy of the projectile is 17.0 J, how much will the spring be compressed? b) If there is a coefficient of friction of 0.200 and the spring must compress by 1.50 cm at the moment when the projectile stops (say, to trigger an event like a switch) then what must the initial speed of the projectile be? All other conditions are same as in the setup.
A spring is attached to an inclined plane as shown in the figure. A block of mass m = 2.31 kg is placed on the incline at a distance d = 0.279 m along the incline from the end of the spring. The block is given a quick shove and moves down the incline with an initial speed v = 0.750 m/s. The incline angle is 0 = 20.0°, the spring constant is k = 455 N/m, and we can assume the surface is frictionless. By what distance (in m) is the spring compressed when the block momentarily comes to rest? m 8 ww 0.038 X Apply the work-energy theorem. The force of gravity does positive work on the block as it slides down the incline through the total distance (d + x), and the spring force does negative work on the block as it slides through distance x. Note that the block has initial kinetic energy but the final kinetic energy is zero. Take the zero level of gravitational potential energy to be where the block momentarily comes to rest. m
A 2.0 kg block is pressed up against a spring (k = 44 N/m) that is attached to a wall as shown. The block is held so that there is 1.2 J stored in the spring and then the block is released from rest. If there is no friction, what is the speed of the block when the energy stored in the spring is 0.0 J?
An inclined plane of angle e = 20.0° has a spring of force constant k = 520 N/m fastened securely at the bottom so that the spring is parallel to the surface as shown in the figure below. A block of mass m = 2.45 kg is placed on the plane at a distance d = 0.288 m from the spring. From this position, the block is projected downward toward the spring with speed v = 0.750 m/s. By what distance is the spring compressed when the block momentarily comes to rest?
I have tried this problem several times how do I do it correctly?
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. = 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. The final velocity of the block is 9.78 m/s. How much is the second spring compressed by when the block comes to a stop against it? Simplifies to X₁ = 0.40 m h₁ = 0 m Vi = 0 m/s xf Wnc = 0 J 2 Wnc + mgh₁ +1/2 kx₁² +½ mv² = mgh₁+½ kxf² +½ mvf2 = k₁ = 2750 N/m k₂= 350 N/m m = 4.6 kg 2 ½ k₁x₁² = mghf + ½ K₂Xf2 2 ½ k₁x;² — mghƒ _½ k₂xf² Xf= 2750 N/m 350 N/m (0.4 m)2 x k 2 2gh -X f= X₁ = ? m h₁ = 2.8 m Vi = 0 m/s 0.141 m 2(9.8…
5. Moumita is holding a mass m=0.50kg, which is connected to the bottom of a vertical spring with spring constant k=10.0ON/m. She is holding the mass in place at a height h=1.5m above the floor. The spring is relaxed in this condition. When Moumita lets go of the mass, how far will the mass fall before it turns around and starts to travel upwards?
A block with mass m = 2.20 kg is placed against a spring on a frictionless incline with angle e = 30.0°. (The block is not attached to the spring.) The spring, with spring constant k = 21.0 N/cm, is compressed 17.0 cm and then released. (a) What is the elastic potential energy of the compressed spring? (b) What is the change in the gravitational potential energy of the block-Earth system as the block moves from the release point to its highest point on the incline? (c) How far along the incline is the highest point from the release point?
How far the block will compress the spring after fall back from its maximum height?
A block with mass m = 3.26 kg is placed against a spring on a frictionless incline with angle θ = 24.1° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 10 N/cm, is compressed 14.9 cm and then released. (a) What is the elastic potential energy of the compressed spring? (b) What is the change in the gravitational potential energy of the block-Earth system as the block moves from the release point to its highest point on the incline? (c) How far along the incline is the highest point from the release point?