Answer :
The acceleration of the metal safe across floor is 1.65 m/s²
What is force?
A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.
For the given case,
The weight of the metal safe is calculated as:
W = mg
W = 116 x 9.8
W = 1136.8 N
The frictional force on metal safe is:
Fₓ = μFₙ
Fₓ = 0.3 × 1136.8
Fₓ = 341.04 N
The net horizontal force applied on the metal safe is:
Fₙ = Applied horizontal force - frictional force
Fₙ = 533 - 341.04
Fₙ = 191.96 N
The acceleration of the safe across floor is:
F = ma
a = Fₙ /m
a = 191.96/116
a = 1.65 m/s²
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