A block with a mass of m= 26 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 F₁ = 10.5 N. The second has a magnitude of F₂ = 18.5 N and acts on the body at an angle = 13⁰ measured from horizontal, as shown. Part (a) Please select the correct free body diagram from the choices below. I 0 20 10 F₁ F F₁ 0 F 2 m 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. 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. Part (d) Find the block's acceleration in the x-direction, ax, in meters per second squared.
A block with a mass of m= 26 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 F₁ = 10.5 N. The second has a magnitude of F₂ = 18.5 N and acts on the body at an angle = 13⁰ measured from horizontal, as shown. Part (a) Please select the correct free body diagram from the choices below. I 0 20 10 F₁ F F₁ 0 F 2 m 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. 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. Part (d) Find the block's acceleration in the x-direction, ax, in meters per second squared.
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Please answer all parts and circle.
Transcribed Image Text:A block with a mass of m = 26 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 F₁
= 10.5 N. The second has a magnitude of F₂ = 18.5 N and acts on the body at an angle = 13°
measured from horizontal, as shown.
Part (a) Please select the correct free body diagram from the choices below.
F.
J
70
F
10
F₁
F₁
F
0
10
F₂
F₂
00
m
-F₁
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.
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.
Part (d) Find the block's acceleration in the x-direction, ax, in meters per second squared.
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