18) A ball has a mass of 3 kg. It is connected to a spring that is displaced x = 0.5m away from its equilibrium length. The spring has spring %3D constant k = 300N/m. Af- %3D ter the spring is compressed, the ball rolls along a frictionless surface until it reaches an incline with an angle of 30•. What is the maximum height the ball reaches?

18) A ball has a mass of 3 kg. It is connected to a spring that is displaced x = 0.5m away from its equilibrium length. The spring has spring %3D constant k = 300N/m. Af- %3D ter the spring is compressed, the ball rolls along a frictionless surface until it reaches an incline with an angle of 30•. What is the maximum height the ball reaches?

Name: 18) A ball has a mass of 3 kg. It is connected to aspring that is dis
Uploaded: 2024-03-20T06:58:04.000Z
Channel: Bartleby
Description: 18) A ball has a mass of 3 kg. It is connected to aspring that is displaced x = 0.5maway from its equilibrium length. The spring has spring%3Dconstant k = 300N/m. Af-%3Dter the spring is compressed, the ball rolls along africtionless surface until i

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter6: Applications Of Newton's Laws

Section: Chapter Questions

Problem 118AP: When a body of mass 0.25 kg is attached to a vertical massless spring, it is extended 5.0 cm from...

See similar textbooks

Similar questions

A bungee cord is essentially a very long rubber band that can stretch up to four times its unstretched length. However, its spring constant vanes over its stretch [see Menz, P.G. “The Physics of Bungee Jumping.” The Physics Teacher (November 1993) 31: 483-487]. Take the length of the cord to be along the direction and define the stretch as the length of the cord minus its un-stretched length that is, (see below). Suppose a particular bungee cord has a spring constant, for of and for. (Recall that the of (Recall that the spring constant is the slope of the force versus its stretch (a) What is the tension in the cord when the stretch is 16.7 m (the maximum desired for a given jump)? (b) How much work must be done against the elastic force of the bungee cord to stretch It 16.7 m? Figure 7.16 (credit modification of work by Graeme Churchard)
A small particle of mass m is pulled to the top of a friction less half-cylinder (of radius R) by a light cord that passes over the top of the cylinder as illustrated in Figure P7.15. (a) Assuming the particle moves at a constant speed, show that F = mg cos . Note: If the particle moves at constant speed, the component of its acceleration tangent to the cylinder must be zero at all times. (b) By directly integrating W=Fdr, find the work done in moving the particle at constant speed from the bottom to the top of the hall-cylinder. Figure P7.15
Check Your Understanding How high above the bottom of its arc is the particle in the simple pendulum above, when its speed is 0.81 m/s?
Check Your Understanding Why would it hurt more if you snapped your hand with a ruler than with a loose spring, even if the displacement of each system is equal?
. A mass of 0.75 kg is attached to a relaxed spring with k = 2.5 N/m. The mass rests on a horizontal, frictionless surface. If the mass is displaced by 0.33 m, what is the magnitude of the force exerted on the mass by spring? If the mass is then released to execute simple harmonic along the surface, with what frequency will it oscillate?
When a body of mass 0.25 kg is attached to a vertical massless spring, it is extended 5.0 cm from its unstretched length of 4.0 cm. The body and spring are placed on a horizontal frictionless surface and rotated about the held end of the spring at 2.0 rev/s. How far is the spring stretched?
Check Your Understanding The U.S. Air Force uses “10gs” (an acceleration equal to 109.8m/s2 ) as the maximum acceleration a human can withstand (but only tot several seconds) aid survive. How much time must the Enterprise spend accelerating if the humans on board are to experience an average at most 10gs of acceleration? (Assume the inertial dampeners are offline.)
As a 75.0-kg man steps onto a bathroom scale, the spring inside the scale compresses by 0.650 mm. Excited to see that he has lost 2.50 kg since his previous weigh-in, the man jumps 0.300 m straight up into the air and lands directly on the scale. (a) What is the springs maximum compression? (b) If the scale reads in kilograms, what reading does it give when the spring is at its maximum compression?
Some people modify cars to be much closer to the ground than when manufactured. Should they install stiffer springs? Explain your answer.
A pendulum, comprising a light string of length L and a small sphere, swings in the vertical plane. The string hits a peg located a distance d below the point of suspension (Fig. P7.80). (a) Show that if the sphere is released from a height below that of the peg, it will return to this height after the string strikes the peg. (b) Show that if the pendulum is released from rest at the horizontal position ( = 90) and is to swing in a complete circle centered on the peg, the minimum value of d must be 3L/5. Figure P7.80
Check Your Understanding Identify an object that undergoes uniform circular motion. Describe how you could trace the SHM of this object.
A 75.0-kg firefighter slides down a pole while a constant friction force of 300 N retards her motion. A horizontal 20.0-kg platform is supported by a spring at the bottom of the pole to cushion the fall. The firefighter starts from rest 4.00 m above the platform, and the spring constant is 4 000 N/m. Find (a) the firefighters speed just before she collides with the platform and (b) the maximum distance the spring is compressed. Assume the friction force acts during the entire motion.