Answer:
The force that must be provided to accelerate the object = 302.196 N
Explanation:
Force: Force can be defined as the product of mass and acceleration. The S.I unit of force is Newton (N).
Ft - W = ma............ Equation 1
Ft = W + ma .......... Equation 2
Where Ft = force provided, W = weight of the object, m= mass of the object, a = acceleration of the object.
Given: mass = 64 lb, g = 32 ft/s² a = 2 ft/s²
Conversion: (i) from 64 pounds to Kg = 64/2.2046
= 29.03 kg
(ii) from 2 ft/s² to m/s² = 0.3048 × 2 = 0.6098 m/s²
(iii) from 32 ft/s² to m/s² = 0.3048×32 = 9.8 m/s².
and W = mg = 29.03 × 9.8 = 284.494 N,
Substituting these values into equation 2,
Ft = 284.494 + 29.03×0.6098
Ft = 284.494 + 17.7
Ft = 302.196 N
Therefore, the force that must be provided to accelerate the object = 302.196 N
