Physics, 29.03.2020 23:42 bandithcarroyuqhi

The free-body diagrams of four objects are shown.

Four free body diagrams are shown. The first free body diagram is labeled W with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 15 N. The second vector is pointing right, labeled F Subscript p Baseline = 10 N. The third vector is pointing upward, labeled F Subscript N Baseline = 20 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 10 N. The upward vector is longer than the downward vector. The right vector is the same length as the left vector. The second free body diagram is labeled X with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 25 N. The second vector is pointing right, labeled F Subscript p Baseline = 15 N. The third vector is pointing upward, labeled F Subscript N Baseline = 20 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 15 N. The upward vector is shorter than the downward vector. The right and left vectors are the same length. The third free body diagram is labeled Y with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 10 N. The second vector is pointing right, labeled F Subscript p Baseline = 10 N. The third vector is pointing upward, labeled F Subscript N Baseline = 10 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 15 N. The upward vector is the same length as the downward vector. The right vector is shorter than the left vector. The fourth free body diagram is labeled Z with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 15 N. The second vector is pointing right, labeled F Subscript p Baseline = 20 N. The third vector is pointing upward, labeled F Subscript N Baseline = 15 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 10 N. The upward vector is the same length as the downward vector. The right vector is longer than the left vector.

Which object has a net force of –5 N down?

W
X
Y
Z

Answers: 1

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We apply the addition forces, we can find the free body diagrams that satisfy the condition that the net force is equal to -5 N are:

X diagram on the y-axis (vertical) Y diagram on the x-axis (horizontal)

Newton's second law says that the net force applied on a body is equal to the product of the mass and the acceleration. This expression is of utmost importance since it relates the dynamic variable forces and the kinematic variable acceleration.

The free body diagram is an abstraction to be able to identify the applied forces, leaving aside the explicit shapes of the bodies. In this exercise four free-body diagrams are indicated, in the attached we can see a schematic representation of them, each diagram is labeled by the letter W, X, Y, Z

They ask to find in which diagram the net force is equal to -5 N

Remember that the force is a vector magnitude, so we must use its components separately

We analyze each diagram separately

W diagram

x-axis (horizontal)

∑ F = 10-10 = 0

y-axis (vertical)

∑ F = 15-15 = 0

X diagram

x- axis

∑ F = 15-15 = 0

y-axis

∑ F = 20-25 = -5 N

Y diagram

x- axis

∑ F = 10-15 = -5 N

y-axis

∑ F = 10-10 = 0

Z diagram

x-axis

∑ F = 20-10 = 10 N

y-axis

∑ F = 15-15 = 0 N

The diagrams where the net force equals -5 n are

X diagram on the y-axis (vertical) Y diagram on the x-axis (horizontal)

In conclusion, applying the summation of forces, we can find the free body diagrams that satisfy the condition that the net force is equal to -5 N are:

Y diagram on the x-axis (horizontal) X diagram on the y-axis (vertical)

Learn more about addition forces here:

link

The free-body diagrams of four objects are shown. Four free body diagrams are shown. The first free

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The free-body diagrams of four objects are shown.

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