Answer:
W=6 J (Joules)
Ep=0 J (Joules)
Step-by-step explanation:
A trunk is dragged 3 m across an attic floor by a force of 2 N.
Work done is the amount of energy transferred. The formula is:
W=F×d
Which is the same as:
W=F×d=F.d.cosφ
Where,
F: Force (N).
d: Distance moved in the direction of the force (displacement) (m).
φ: Angle between the force and the direction of motion.
Now, replacing the data:
W=2N.3m.cos(0°) (We assume that the force and the displacement have the same direction and orientation. That's why φ=0°)
Then,
W=2N.3m.1=6Nm
W=6 J
Now we have to calculate the gain in potential energy:
The gravitational potential energy (Ep) is the energy stored by an object because of its position. The formula is:
Ep=m.g.h
Where,
m: Mass of the object. (Kg)
g: Acceleration due to gravity. ([tex]\frac{m}{s^2}[/tex])
h: Vertical height. (m)
In this case there isn't vertical height. We assume that the displacement is in the floor level and we are going to take this as h=0m
Ep=0 J
