Answered: Part 1) Please draw and label a free…

College Physics

11th Edition

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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Question

Please refer to the picture with the formulas and constants that need to be used in this problem.

Harzan wants to swing from one bank of the river to the other using an overhaning vine. As he swings, he traces out an arc of a circle.

Part 1) Please draw and label a free body diagram of Harzan at the bottom of the swing.

Part 2) What forces act as the radial force in the circular motion?

Part 3) Is this uniform circular motion? Explain

Part 4) The vine is 6.2 m long, and Harzan's mass is 85 kg. At the bottom of his swing, he is travelling at 4.3 m/s. What is the magnitide of the radial acceleration that Harzan experiences?

Part 5) How much tension must the vine support in order to safely transport Harzan over the river?

Please answer all parts

Formulas
daug = AV > Vp = √₂ + aaug At
->
At
Vaug = 1/2 (V₂ + √₂)
Vaug = AX X₁ = X₁ + Vaug At
At
X²₁ = X₁ + √₂ At + ½ åst ²
2
2
V² = V₁² + 2aAx
F = ma
F₁ = M₁₂₁ FN
AR = V²
F₁B = - F₁A
BA
F₁ ≤ M₂ FN
FG = G m₁m₂
r²
f ===
T
O
Constants
C≈ 3 x 10³ m/s
9 = 9.8 m/s²
G = 6.7 x 10" Nm² / Kg ²
Units
t = 5
x = m
✓ = m/s
a = m/s²
m = 19
F² = N
T= 3
f = H₂ = 1/s
Geometry
A = lw
A = 1/2 bh
A = πTr ²
C=2 TTC
Tuncertainty Propagation
C=dA →> 0c = |d0A
C = Aª² >> °C = |d² A
Ad
C = A±B20² = 0 ² ² + 0 ²₁₂
ога
C=AB or C => 04
A
न्ह
B
C²
A²
+
B
B²

Expert Solution

Step 1

Given,

A person uses over hanging vine to cross a river.

Mass of the person is $m = 85 kg$

Length of vine used $l = 6.2 m$

At the bottom of swing, velocity of the person is $v = 4.3 m / s$

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