You push your physics book 1.50 m along a horizontal tabletop with a horizontal push of 2.40 N while the opposing force of friction is 0.600 N. How much work does each of the following forces do on the book: (a) your 2.40-N push, (b) the friction force, (c) the normal force from the tabletop, and (d) gravity? (e) What is the net work done on the book?

Respuesta :

Answer:

a) 3.6 J

b) 0.9 J

c) 0 J

d) 0 J

e) 2.7 J

Explanation:

Work = force F x diaplament in direction of force d

Given that,

Displacement in direction of push force d = 1.5 N

Push force = 2.4 N

Friction = 0.6 N

a) work done by push force = 2.4 x 1.5 = 3.6 J

b) word done by friction = -0.6 x 15 = -0.9 J (minus sign shows the work is opposite that done by the push force)

c) work done by normal force from table top ( force acting upwards to oppose gravity) = 0 J since there is no vertical displacement

d) work done by gravity (doward force) = 0 J since there is no vertical displacement

e) net work done on book = 3.6 J + (-0.9J) + 0 J + 0 J = 2.7 J

Answer:

a) Work done by the 2.4 N force, W = 3.6 J

b)  Work done by the o.6 N frictional force, W = -0.9 J

c) Work done by the normal force on the book, W = 0 J

d) Work done on the book by gravity, W = 0 J

e) Net work done, W = 2.7 J

Explanation:

The distance covered by the book on the horizontal tabletop, s = 1.50 m

Horizontal force applied on the book, f = 2.4 N

The angle between the book and the table top, [tex]\phi = 0^{0}[/tex]

a) Work done by the 2.40 N force on the book,

[tex]W = fscos \phi[/tex]

[tex]W = 2.4 * 1.5cos 0[/tex]

W = 3.6 J

b) Work done by the frictional force, [tex]f_{r} = 0.6 N[/tex]

[tex]W = f_{r} scos \phi[/tex]

Frictional force acts in the opposite direction to the push

[tex]\phi = 180 \\W = 0.6 * 1.5cos 180\\W = -0.9 J[/tex]

c) Work done by the normal force, N on the book

The angle between the normal force and the displacement [tex]\phi = 90^{0}[/tex]

[tex]W = N * scos 90\\W = 0 J[/tex]

d) Work done on the book by gravity

[tex]W = mgs cos \phi[/tex]

Angle between the displacement and gravity, [tex]\phi = 270^{0}[/tex]

[tex]W = mgcos270\\W = 0 J[/tex]

e) Net work done on the book

[tex]W_{net} = 3.6 - 0.9 + 0 + 0\\W_{net} = 2.7 J[/tex]