Answer:
W = 62.7 J
a = 0.26 m/s²
Explanation:
Work (W) is defined as the product of force( F) by the distance (d) the body travels due to this force.
W= F*d Formula ( 1)
The work is positive (W+) if the force has the same direction of movement of the object.
The work is negative (W-) if the force has the opposite direction of the movement of the object.
The component of the force that performs work must be parallel to the displacement.
Data
F = 11 N
d = 5.7 m
Work done by Zak on the sofa
We apply the Formula ( 1) :
W = (11 N )* (5.7 m)
W = 62.7 J
Average acceleration of the sofa
We apply Newton's second law to the sofa :
∑F = m*a Formula (2)
∑F : algebraic sum of the forces acting on the sofa (N)
m : mass (kg)
a : acceleration (m/s²)
Data : m= 42.3 kg , F= 11 N
We replace Data in the formula (2)
F = m*a
11 = (42.3)*a
a = (11) / (42.3)
a = 0.26 m/s²
The work done by Zak on the sofa =62.7J
The average acceleration of the sofa =0.26mls²
The distance covered by the movement= 5.7m
The mass of the sofa = 42.3kg
The constant force applied = 11 N.
Formula for work done = Force× distance
= 11 × 5.7
= 62.7J
To calculate the acceleration,
Force= mass × acceleration
Make "acceleration" the subject of formula
acceleration = force/mass
= 11/42.5
= 0.2588
= 0.26mls²
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