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An apple of mass m = 0.13 kg falls out of a tree from a
Chapter 5, Problem 66GP(choose chapter or problem)
An apple of mass \(m=0.13\ \mathrm {kg}\) falls out of a tree from a height \(h=3.2\ \mathrm {m}\). (a) What is the magnitude of the force of gravity, , acting on the apple? (b) What is the apple's speed,
, just before it lands? (c) Show that the force of gravity times the height,
, is equal to \(\frac{1}{2}mv^2\). (We shall investigate the significance of this result in Chapter
) Be sure to show that the dimensions are in agreement as well as the numerical values.
Equation Transcription:
Text Transcription:
m=0.13 kg
h=3.2 m
frac{1}{2}mv^2
Questions & Answers
QUESTION:
An apple of mass \(m=0.13\ \mathrm {kg}\) falls out of a tree from a height \(h=3.2\ \mathrm {m}\). (a) What is the magnitude of the force of gravity, , acting on the apple? (b) What is the apple's speed,
, just before it lands? (c) Show that the force of gravity times the height,
, is equal to \(\frac{1}{2}mv^2\). (We shall investigate the significance of this result in Chapter
) Be sure to show that the dimensions are in agreement as well as the numerical values.
Equation Transcription:
Text Transcription:
m=0.13 kg
h=3.2 m
frac{1}{2}mv^2
ANSWER:
Solution 66GP
Step 1 of az
Calculate the magnitude of gravitational force.
Calculate the apple’s speed just before it lands on the ground.
Then show that both numerically and dimensionally.
(a)