Answer:
1.9965 m/s²
Explanation:
Acceleration: This can be defined as the rate of change of velocity. The S.I unit of acceleration is m/s².
From the question,
F' = ma................ Equation 1
Where F' = horizontal force, m = mass of the box, a = acceleration of the box.
But,
F' = FcosФ................Equation 2
Where F = Force applied to the box, Ф = angle of between the force and the horizontal.
Substitute equation 2 into equation 1
FcosФ = ma
make a the subject of the equation
a = FcosФ/m.................... Equation 3
Given: F = 100 N. Ф = 37°, m = 40 kg.
Substitute into equation 3
a = 100(cos37°)/40
a = 100(0.7986)/40
a = 79.86/40
a = 1.9965 m/s²
