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
.
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…
Bicycle mechanics Refer to Exercise 52. An expert cyclist
can attain a speed of 40 mi/hr. If the sprocket assembly has
r = 5 in., r2 = 2 in., and the wheel has a diameter of
28 inches, approximately how many revolutions per minute
of the front sprocket wheel will produce a speed of
40 mi/hr? (Hint: First change 40 mi/hr to in./sec.)
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