Good Morning! I'm new to cramster and was referred by a friend when Iconveyed my horror stories about physics 1. Our class isusing Giancoli, 6th Ed. I am having some problems with theforce problem sets (Ch 4). A 15kg bucket is lowered vertically by a rope. When thetension in the rope is 180N what is the acceleration of the bucket?(give both magniture & direction). I know F=ma. How do I solve this problem takingaccount for the tension? Good Morning! I'm new to cramster and was referred by a friend when Iconveyed my horror stories about physics 1. Our class isusing Giancoli, 6th Ed. I am having some problems with theforce problem sets (Ch 4). A 15kg bucket is lowered vertically by a rope. When thetension in the rope is 180N what is the acceleration of the bucket?(give both magniture & direction). I know F=ma. How do I solve this problem takingaccount for the tension? A 15kg bucket is lowered vertically by a rope. When thetension in the rope is 180N what is the acceleration of the bucket?(give both magniture & direction). I know F=ma. How do I solve this problem takingaccount for the tension?
Explanation / Answer
Given that the mass of bucket is m = 15kg Tention in the rope is T = 180 N ---------------------------------------------------------- Free body diagram as shown below Let bucket moving down wards then apply Newtons law invertcle direction mg - T = ma a = (mg - T )/ m = g- T /m = 9.8m/s2 - 180N / 15kg =-2.2m/s2 The magnitude of the accelaration is a =2.2 m/s2 Direction is upwards ordecelarating Let bucket moving down wards then apply Newtons law invertcle direction mg - T = ma a = (mg - T )/ m = g- T /m = 9.8m/s2 - 180N / 15kg =-2.2m/s2 The magnitude of the accelaration is a =2.2 m/s2 Direction is upwards ordecelarating Direction is upwards ordecelarating