1.) A box with a mass of 5 kg only has three forces acting on it:
What is the magnitude of the box's acceleration, in m/s2?
Write the number and not the units.
2.) A box with a mass of 10 kg only has two forces acting on it:
What is the magnitude of the box's acceleration, in m/s2?
Write the number and not the units.
Answer:-
1) 12
2) 3
Solution:-
1)
let east direction is positive x-axis, then west will be negative x-axis.North and South will be positive and negative y-axis respectively.
now, Fx = 16 + 39 = 55 N
Fy = - 24 N
F = √(Fx² + Fy²)
F = √(55² + (-24)²)
F = 60 N
using Newton's second law,
F = m*a
60 = 5 * a
solving for a,
a = 12 m/s²
As you only need magnitude and not units so the answer is 12.
2)
in this case,
Fx = 15 - 45 = -30 N
Fy = 0 N
F = 30 N
using Newton's second law,
F = m*a
30 = 10 * a
a = 3 m/s²
the acceleration of the box is 3.
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