When the angle of the ramp increases, the weight of the box acting perpendicular to the ramp decreases.
<h3>
Normal reaction of the box</h3>
The normal reaction of the box is due to weight of the box acting perpendicular to the ramp.
Fn = Wcosθ
<h3>when the angle of the ramp = 30⁰</h3>
Fn = Wcos(30)
Fn = 0.866W
<h3>when the angle of the ramp = 45⁰</h3>
Fn = W x cos(45)
Fn = 0.7071W
Thus, when the angle of the ramp increases, the weight of the box acting perpendicular to the ramp decreases.
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Answer:
The work done on the canister is 15.34 J.
Explanation:
Given;
mass of canister, m = 1.9 kg
magnitude of force acting on x-y plane, F = 3.9 N
initial velocity of canister in positive x direction, = 3.9 m/s
final velocity of the canister in positive y direction,
The change in the kinetic energy of the canister is equal to net work done on the canister by 3.9 N.
ΔK.E =
ΔK.E
The initial kinetic energy of the canister;
The final kinetic energy of the canister;
ΔK.E = 29.79 J - 14.45 J
ΔK.E = = 15.34 J
Therefore, the work done on the canister is 15.34 J.