1. A small block, with a mass of 1.5 kg, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, around the loop and then onto the final level section on the right. It then collides with a spring which momentarily brings the block to a stop. The maximum height of the incline is 2.5 m, the radius of the loop is 0.9 m and the spring constant is 90 N/m. a) Find the initial potential energy of the block. b) Find the velocity of the block at the top of the loop. c) Find the velocity of the block after it goes around the loop, on the flat section of the path. d) How much will the block compress the spring before momentarily coming to a stop?

1. A small block, with a mass of 1.5 kg, starts from rest at the top of the apparatus shown above. It then slides without friction down the incline, around the loop and then onto the final level section on the right. It then collides with a spring which momentarily brings the block to a stop. The maximum height of the incline is 2.5 m, the radius of the loop is 0.9 m and the spring constant is 90 N/m. a) Find the initial potential energy of the block. b) Find the velocity of the block at the top of the loop. c) Find the velocity of the block after it goes around the loop, on the flat section of the path. d) How much will the block compress the spring before momentarily coming to a stop?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter7: Rotational Motion And Gravitation

Section: Chapter Questions

Problem 74AP: A massless spring of constant k = 78.4 N/m is fixed on the left side of a level track. A block of...

See similar textbooks

Similar questions

A 4.00 kg block is attached to a vertical rod by means of two strings. When the system rotates about the axis of the rod, the strings are extended as shown in (Figure 1) and the tension in the upper string is 90.0 N. I solved the lower cord to equal 41N What is the speed of the block?
The spring of constant k = 200 N/m is attached to both the support and the 2-kg cylinder, which slides freely on the horizontal guide. If a constant 10-N force is applied to the cylinder at time t = 0 when the spring is undeformed and the system is at rest, determine the velocity of the cylinder when x = 40 mm. Also determine the maximum displacement of the cylinder.
C7 12.) How high will the pendulum bob swing in this figure? a.) to the height of the pencil eraser. b.) to the maximum height of the bob without the pencil, as shown by the left-most position in the figure c.) roughly half the original heightto d.) the height of the pencil's point.
This time the pendulum is 1.04 m long. Suppose you start with the pendulum hanging vertically, at rest. You then give it a push so that it starts swinging with a speed of 1.29 m/s. What maximum angle (in degrees) will it reach, with respect to the vertical, before falling back down?
https://www.youtube.com/watch?v=6F6deDoKLoE During the lab, you fire the ballistic pendulum multiple times and find the average angle to be 46.7 degrees. If the length of the pendulum (from pivot to center of gravity) is 30.4 cm, to what height, h, did the pendulum's center of gravity rise? (Use the formula shown at 7:45 of the video) Give your answer in cm to 3 significant figures (2 decimal places in this case).
a 4kg block is attached to the vertical pole by two strings. when the system rotates about the axis of the pole the two strings are extended as shown in the diagram, the tension in the upper string is 88N. find the tension in the lower string, the rev/min the system makes normally and when the lower cord just goes slack.
1. The hanging mass from the apparatus was removed by unhooking the spring and the string and the mass was determined to be 1200 grams. The mass was reattached to the string from the top cross arm.2. The diameter of the center pole was measured using the vernier caliper and it found to be 1.279 cm Using information above, and data in table calculate following: Calculate the angular velocity (ω). Calculate the linear speed of the mass (Vt). Calculate Percent error between the Spring Force and Centripetal Force. Calculate Fc based on the information shown Table Inside distance from center pole to center of radial indicator (cm) 15.2 Time it took to make 50 revolutions (sec) Trial #1 (459g) 30.07 Trial #2 (459g) 28.03 Trial #3 (459g) 29.05 Average (459g) 29.05 Trial #4 (509g) 29.06 Trial #5 (509g) 27.75 Trial #6 (509g) 29.93 Average (509g) 28.91 Trial #7 (559g) 31.59 Trial #8 (559g) 31.59 Trial #9 (559g)…
A long limp spring is hung from a beam; the spring's bottom is 660 mm above the table. A 0.50 kg cylinder is hooked to the spring's bottom while the spring hangs relaxed. When the cylinder is dropped, it turns around just above the table, where the spring's bottom had been stretched to 10 mm above the table. What is the cylinder's velocity, half-way to the bottom turn-around?
A block is attached to a spring. The block moves on a frictionless table in a perfect circle around the origin marked with an O in this figure. The equilibrium position of the spring is the origin. The spring is stretched 0.55 m, which is the radius of the circle. It has a coefficient k = 15N/m. The block has a mass of 0.80 kg.(A) What is the force of the spring?(B) What is the angular velocity of the block
I am not sure how to work on this problem, the answers are Na=29.8N, Nb=8.12N. They gave a hint which says to find the acceleration of the system first.
A 4kg block is attached to the vertical rod shown by the 2 strings. When the system rotated about the axis of the rod, the strings are extended as shown in the diagram and the tension in the upper string is 90.0N. what's the tension in the lower cord, and the rev/min the system makes when it's in normal conditions and just when the lower cord goes slack.
At what angle does the tension in the 0.6 m long pendulum cord become zero if the 1.0 kg pendulum has a speed of 5.0 m/s at its lowest point (when θ=0o)?