Answer:
2324 J
Explanation:
The formula for work is:
[tex]W=F*d[/tex]
where [tex]F[/tex] is the force applied, and [tex]d[/tex] is the distance moved, in this case [tex]d=10.3m[/tex]
and we need to find [tex]F.[/tex]
Since the crate is not moving up or down, we conclude that the normal force must be equal to the weight of the object:
[tex]N=w[/tex]
where [tex]N[/tex] is the normal force and [tex]w[/tex] is the weight, which is: [tex]w=mg[/tex], where g is the gravitational acceleration [tex]g=9,81m/s^2[/tex] and [tex]m[/tex] is the mass [tex]m=46kg[/tex].
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Thus the normal force is:
[tex]N=mg[/tex]
Now, the force due to the friction is defined as:
[tex]f=\mu N=\mu mg[/tex]
where [tex]\mu[/tex] is the coefficient of friction, [tex]\mu =0.5[/tex]
So, for the crate to move, the force applied must be equal to the frictional force:
[tex]F=f\\F=\mu mg[/tex]
And now that we know the force we can calculate the work:
[tex]W=F*d\\W=\mu mg*d[/tex]
substituting known values:
[tex]W=(0.5)(46kg)(9.81m/s^2)(10.3)\\W=2324J[/tex]
Answer:
2321.62 J
Explanation:
From the question,
F = μR..................... Equation 1
Where, F = Frictional force, μ = coefficient of static friction, R = normal reaction
R = mg.................................. Equation 2
Where, m = mass of of the crate, g = acceleration due to gravity
Substitute equation 2 into equation 1
F = mgμ........................ Equation 3
Given: m = 46 kg, g = 9.8 m/s², μ = 0.5
F = 46(9.8)(0.5)
F = 225.4 N
Also,
W = F×d.................. Equation 3
Work = Work done, F = Force, d = distance
Given: F = 225.4 N, d = 10.3 m
W = 225.4×10.3
W = 2321.62 J
