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
.
sy = f(x)
+
+
+
+
+
+
+
+
+
X
3
4
5
7
8
9
The function of shown in the figure is continuous on the closed interval [0, 9] and differentiable on the open
interval (0, 9). Which of the following points satisfies conclusions of both the Intermediate Value Theorem
and the Mean Value Theorem for f on the closed interval [0, 9] ?
(A
A
B
B
C
D
=
Q6 What will be the allowable bearing capacity of sand having p = 37° and ydry
19 kN/m³ for (i) 1.5 m strip foundation (ii) 1.5 m x 1.5 m square footing and
(iii)1.5m x 2m rectangular footing. The footings are placed at a depth of 1.5 m
below ground level. Assume F, = 2.5. Use Terzaghi's equations.
0
Ne
Na
Ny
35 57.8 41.4 42.4
40 95.7 81.3 100.4
Q1 The SPT records versus depth are given in table below. Find qan for the raft 12%
foundation with BxB-10x10m and depth of raft D-2m, the allowable
settlement is 50mm.
Elevation, m 0.5 2
2 6.5 9.5 13 18 25
No.of blows, N 11 15 29 32 30 44
0
estigate shear
12%
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