8. Usain Bolt has a mass of 92 kg and a velocity of 10.43 m/s, based on his 9.58 m/s world record in his 100 m dash. What is his linear momentum?

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8. Usain Bolt has a mass of 92 kg and a velocity of 10.43 m/s, based on his 9.58 m/s world
record in his 100 m dash. What is his linear momentum?
Transcribed Image Text:8. Usain Bolt has a mass of 92 kg and a velocity of 10.43 m/s, based on his 9.58 m/s world record in his 100 m dash. What is his linear momentum?
Definitions and Equations:
Moment of Inertia (): Tendency to resist angular acceleration; the angular equivalent of mass.
In practical terms it is a measure of how hard it is to rotate an object or segment, like a baseball
bat or a body segment. It is the sum of the products of the mass (m) with the square of its
distance from the axis of rotation (k?).
I= mk²
Linear Momentum (L):
• L=mv (kg*m/s)
Converting weight to mass
1 lb. = 4.45 N
To convert a weight in Newton's into a mass in kg, divide the weight in Newton's by the
acceleration due to gravity (-9.81 m/s²)
If a person has a weight of -900 N (202.25 lbs.), you would calculate their mass by
dividing -900N by -9.81 m/s2, m = -900 N/-9.81 m/s2 =91.74 kg
Grams to Kilograms
1000 g =1 kg
Table 1: Segment Length, Mass and Center of Mass Locations for Woman and Men
Segment
Length (cm)
Mass (%)
COM Location (%)
W
M
W
M
W
M
Upper Arm
27.51
28.17
2.55
2.71
57.54
57.72
Forearm
26.43
26.89
1.38
1.62
45.59
45.74
Hand
7.80
8.62
0.56
0.61
74.74
79.00
Thigh
36.85
42.22
14.78
14.16
36.12
40.95
Shank
43.23
43.40
4.81
4.33
44.16
44.59
Foot
22.83
25.81
1.29
1.37
40.14
44.15
Transcribed Image Text:Definitions and Equations: Moment of Inertia (): Tendency to resist angular acceleration; the angular equivalent of mass. In practical terms it is a measure of how hard it is to rotate an object or segment, like a baseball bat or a body segment. It is the sum of the products of the mass (m) with the square of its distance from the axis of rotation (k?). I= mk² Linear Momentum (L): • L=mv (kg*m/s) Converting weight to mass 1 lb. = 4.45 N To convert a weight in Newton's into a mass in kg, divide the weight in Newton's by the acceleration due to gravity (-9.81 m/s²) If a person has a weight of -900 N (202.25 lbs.), you would calculate their mass by dividing -900N by -9.81 m/s2, m = -900 N/-9.81 m/s2 =91.74 kg Grams to Kilograms 1000 g =1 kg Table 1: Segment Length, Mass and Center of Mass Locations for Woman and Men Segment Length (cm) Mass (%) COM Location (%) W M W M W M Upper Arm 27.51 28.17 2.55 2.71 57.54 57.72 Forearm 26.43 26.89 1.38 1.62 45.59 45.74 Hand 7.80 8.62 0.56 0.61 74.74 79.00 Thigh 36.85 42.22 14.78 14.16 36.12 40.95 Shank 43.23 43.40 4.81 4.33 44.16 44.59 Foot 22.83 25.81 1.29 1.37 40.14 44.15
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