A ball of unknown mass m is tossed straight up with initial speed v. At the moment it is released, the ball is a height h above a spring-mounted platform, as shown in the figure. The ball rises, peaks, and falls back toward the platform, ultimately compressing the spring a maximum distance d from its relaxed position. Assume that the spring is perfectly ideal, with spring constant k, and that the mass of the spring and platform is negligible. What is the mass of the ball, m, assuming that there is no friction or air resistance? Using g to represent the acceleration due to gravity, enter an expression for m in terms of g, h, d, k, and v. kg

College Physics
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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)...
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A ball of unknown mass m is tossed straight up with initial
speed v. At the moment it is released, the ball is a height h
above a spring-mounted platform, as shown in the figure.
The ball rises, peaks, and falls back toward the platform,
ultimately compressing the spring a maximum distance d
from its relaxed position. Assume that the spring is perfectly
ideal, with spring constant k, and that the mass of the spring
and platform is negligible.
What is the mass of the ball, m, assuming that there is no
friction or air resistance?
Using g to represent the acceleration due to gravity, enter an
expression for m in terms of g, h, d, k, and v.
kg
Transcribed Image Text:A ball of unknown mass m is tossed straight up with initial speed v. At the moment it is released, the ball is a height h above a spring-mounted platform, as shown in the figure. The ball rises, peaks, and falls back toward the platform, ultimately compressing the spring a maximum distance d from its relaxed position. Assume that the spring is perfectly ideal, with spring constant k, and that the mass of the spring and platform is negligible. What is the mass of the ball, m, assuming that there is no friction or air resistance? Using g to represent the acceleration due to gravity, enter an expression for m in terms of g, h, d, k, and v. kg
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