A cardboard box sits on top of a concrete sidewalk where the coefficient of friction between the surfaces is 0.4. The mass of th
e box is 10 Kg and the box is pulled horizontally with a force of 60 N. What is the Gravitational Force on the box? What is the Normal Force? What is the Frictional Force? What is the Acceleration?
1 answer:
Answer:
Fg = 98.1 [N]; N = 98.1 [N]; Ff = 39.24 [N]; a = 2.076[m/^2]
Explanation:
To solve this problem, we must make a free body diagram and interpret each of the forces acting on the box. In the attached diagram we can find the free body diagram.
The gravitational force is equal to:
Fg = (10 * 9.81) = 98.1 [N]
Now by summing forces on the Y axis equal to zero, we can find the normal force exerted by the surface.
N - Fg = 0
N = Fg
N = 98.1 [N]
The friction force is defined as the product of normal force by the coefficient of friction.
Ff = N * μ
Ff = 98.1 * 0.4
Ff = 39.24 [N]
By the sum forces on the x-axis equal to the product of mass by acceleration (newton's second law), we can find the value of acceleration.
60 - Ff = m * a
60 - 39.24 = 10 * a
a = 2.076[m/^2]
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Explanation:
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where
k is the Coulomb constant
q1, q2 is the magnitude of the two charges
r is the distance between the two objects
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- Attractive if the two forces have opposite sign
- Repulsive if the two forces have same sign
In this problem:
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Answer:
Q = 913.9 gpm
Explanation:
The Hazen Williams equation can be written as follows:
where,
P = Friction Loss per foot of pipe = = 4 x 10⁻⁴
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