An apple of mass m = 0.13 kg falls out of a tree from a heighth = 3.2 m. (a) What is the magnitude of the force of gravity, mg,acting on the apple? (b) What is the apple’s speed, v, just before itlands? (c) Show that the force of gravity times the height, mgh, isequal to 12mv2. (We shall investigate the significance of this resultin Chapter 8.) Be sure to show that the dimensions are in agreement as well as the numerical values.

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
Problem 2.15P: A particle of mass m slides down an inclined plane under the influence of gravity. If the motion is...
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An apple of mass m = 0.13 kg falls out of a tree from a height
h = 3.2 m. (a) What is the magnitude of the force of gravity, mg,
acting on the apple? (b) What is the apple’s speed, v, just before it
lands? (c) Show that the force of gravity times the height, mgh, is
equal to 1
2mv2. (We shall investigate the significance of this result
in Chapter 8.) Be sure to show that the dimensions are in agreement as well as the numerical values.

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