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needhelp83
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5. One 3.5 kg paint bucket is hanging by a massless cord from another 3.5 kg paint bucket, also hanging by a massless cord.
a) If the buckets are at rest what is the tension in each cord?
b) If the two buckets are pulled upward with an acceleration of 1.6 m/s2by the upper cord, calculate the tension in each cord.
a) Tension of Top bucket
F=ma= (3.5 kg)(9.80 N/kg) = 34.3 N
Tension of Lower bucket
F=ma= (3.5 kg)(9.80 N/kg) = 34.3 N
Total Force=68.6 N
b)
Lower Bucket
T - 34.3 N = (7.0 kg)(+1.6 m/s/s)= 45.5 N
Upper Bucket
T - 34.3 N - 45.5 N = (3.5 kg)(+1.6 m/s/s) = 85.4 N
Double checking? Look good?
a) If the buckets are at rest what is the tension in each cord?
b) If the two buckets are pulled upward with an acceleration of 1.6 m/s2by the upper cord, calculate the tension in each cord.
a) Tension of Top bucket
F=ma= (3.5 kg)(9.80 N/kg) = 34.3 N
Tension of Lower bucket
F=ma= (3.5 kg)(9.80 N/kg) = 34.3 N
Total Force=68.6 N
b)
Lower Bucket
T - 34.3 N = (7.0 kg)(+1.6 m/s/s)= 45.5 N
Upper Bucket
T - 34.3 N - 45.5 N = (3.5 kg)(+1.6 m/s/s) = 85.4 N
Double checking? Look good?