The work done on the box by the applied force is zero.
The work done by the force of gravity is 75.95 J
The work done on the box by the normal force is 75.95 J.
The given parameters:
- Mass of the box, m = 3.1 kg
- Distance moved by the box, d = 2.5 m
- Coefficient of friction, = 0.35
- Inclination of the force, θ = 30⁰
What is work - done?
- Work is said to be done when the applied force moves an object to a certain distance
The work done on the box by the applied force is calculated as;
[tex]W = Fd cos(\theta)\\\\W = (ma)d \times cos(\theta)[/tex]
where;
a is the acceleration of the box
The acceleration of the box is zero since the box moved at a constant speed.
[tex]W = (0) d \times cos(30)\\\\W = 0 \ J[/tex]
The work done by the force of gravity is calculated as follows;
[tex]W = mg \times d\\\\W = 3.1 \times 9.8 \times 2.5 \\\\W = 75.95 \ J[/tex]
The work done on the box by the normal force is calculated as follows;
[tex]W = (F_n) \times d\\\\W = (mg + F sin\theta) \times d\\\\W = (mg + 0) \times d\\\\W = mgd\\\\W = 3.1 \times 9.8 \times 2.5\\\\W = 75.95 \ J[/tex]
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