For Exercises 131-132, refer to the formula F = G m 1 m 2 d 2 . This gives the gravitational force F (in Newtons, N) between two masses m 1 and m 2 (each measured in kg) that are a distance of d meters apart. In the formula, G = 6.6726 × 10 − 11 N-m 2 /kg 2 . Determine the gravitational force between the Earth mass = 5.98 × 10 24 kg and an 80-kg human standing at sea level. The mean radius of the Earth is approximately 6.371 × 10 6 m .
For Exercises 131-132, refer to the formula F = G m 1 m 2 d 2 . This gives the gravitational force F (in Newtons, N) between two masses m 1 and m 2 (each measured in kg) that are a distance of d meters apart. In the formula, G = 6.6726 × 10 − 11 N-m 2 /kg 2 . Determine the gravitational force between the Earth mass = 5.98 × 10 24 kg and an 80-kg human standing at sea level. The mean radius of the Earth is approximately 6.371 × 10 6 m .
Solution Summary: The author explains the formula used to calculate the gravitational force between the Earth and a human weighing 80kg.
For Exercises 131-132, refer to the formula
F
=
G
m
1
m
2
d
2
.
This gives the gravitational force
F
(in Newtons, N) between two masses
m
1
and
m
2
(each measured in kg) that are a distance of
d
meters apart. In the formula,
G
=
6.6726
×
10
−
11
N-m
2
/kg
2
.
Determine the gravitational force between the Earth
mass
=
5.98
×
10
24
kg
and an 80-kg human standing at sea level. The mean radius of the Earth is approximately
6.371
×
10
6
m
.
It takes a force of 21,882 lb to compress a coil spring assembly from its free height of 6 inches to its fully compressed height of 3 inches.
a. What is the assembly's force constant?
b. How much work does it take to compress the assembly the first half inch? the second half inch? Answer to the nearest in-lb.
a. k= lb/in
Consider the current flow of electricity within an electrical circuit. The formula of Ohm's Law says that when electric current is flowing through a
resistor, the current i (measured in amps) can be calculated from the voltage v (measured in volts) and the resistance R of the resistor (measured in
ohms).
Complete Part (a) and Part (b) using the given formula:
R
Part (a). The resistor in a radio circuit was measured to be 5000 ohms.
I. What is the formula for the current i in the radio circuit?
Use lower-case letter v for voltage.
IL. Select the graph of your formula for i versus v.
2.5
1.5
1.5
0.5
05
3000 4000 5000 6000
1000 2000 3000 4000 s000 6000
OGraph 1
OGraph 2
25
2.5
1.5
1.5
0.5
0.5
1000 2000 3000 4000 5000 6000
1000 2000 3000 4000 5000 6000
OGraph 3
OGraph 4
II. What happens to the current when voltage increases?
O As the resistance increases, so does the current.
A
O As the voltage increases, so does the resistance.
As the voltage increases, so does the current.
Part (b). The…
Use the following information. Michael Kasha, of Florida State University, used physics and mathematics to design a classical guitar. He used the model for the frequency of the vibrations on a circular plate
v = 2.6t / d2 sqrt( E/P)
where v is the frequency (in vibrations per second), t is the plate thickness (in millimeters), d is the diameter of the plate, E is the elasticity of the plate material, and ? is the density of the plate material. For fixed values of d, E, and the graph of the equation is a line, as shown in the figure.
Estimate the frequency when the plate thickness is 4 millimeters.______ vibrations/sec
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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