Problem 4: A block with a mass of m = 39 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F = 11.5 N. The second has a magnitude of F2= 18.75 N and acts on the body at an angle 0 = 17° measured from horizontal, as shown. F2 F, Part (a) Please select the correct free body diagram from the choices below. SchematicChoice :

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Forces & Motion Q4. Please answer and explain step by step and reasoning.

Problem 4: A block with a mass of m = 39 kg rests on a frictionless surface and is
subject to two forces acting on it. The first force is directed in the negative x-direction
with a magnitude of F = 11.5 N. The second has a magnitude of F, = 18.75 N and acts
on the body at an angle 0 = 17° measured from horizontal, as shown.
F,
m
F,
Part (a) Please select the correct free body diagram from the choices below.
SchematicChoice :
F,
N
F,
g
F,
Part (b) Write an expression for the component of net force, Fnet.x, in the x-direction, in terms of the variables given in the problem statement.
Expression :
Fnet,x
=
Select from the variables below to write your expression. Note that all variables may not be required.
cos(4), cos(0), sin(4), sin(0), tan(4), tan(0), a, ß, 0, d, F1, F2, g, m, t
Part (c) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2, g, and the other variables of the
problem. Assume that the surface it rests on is rigid.
Expression :
FN =
Select from the variables below to write your expression. Note that all variables may not be required.
cos(4), cos(0), sin(4), sin(0), tan(4), tan(0), a, ß, O, d, F1, F2. g, m, t
Part (d) Find the block's acceleration in the x-direction, ax, in meters per second squared.
Numeric : A numeric value is expected and not an expression.
ax =
Transcribed Image Text:Problem 4: A block with a mass of m = 39 kg rests on a frictionless surface and is subject to two forces acting on it. The first force is directed in the negative x-direction with a magnitude of F = 11.5 N. The second has a magnitude of F, = 18.75 N and acts on the body at an angle 0 = 17° measured from horizontal, as shown. F, m F, Part (a) Please select the correct free body diagram from the choices below. SchematicChoice : F, N F, g F, Part (b) Write an expression for the component of net force, Fnet.x, in the x-direction, in terms of the variables given in the problem statement. Expression : Fnet,x = Select from the variables below to write your expression. Note that all variables may not be required. cos(4), cos(0), sin(4), sin(0), tan(4), tan(0), a, ß, 0, d, F1, F2, g, m, t Part (c) Write an expression for the magnitude of the normal force, FN, acting on the block, in terms of F2, g, and the other variables of the problem. Assume that the surface it rests on is rigid. Expression : FN = Select from the variables below to write your expression. Note that all variables may not be required. cos(4), cos(0), sin(4), sin(0), tan(4), tan(0), a, ß, O, d, F1, F2. g, m, t Part (d) Find the block's acceleration in the x-direction, ax, in meters per second squared. Numeric : A numeric value is expected and not an expression. ax =
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