Table 1.) Thin White String: 50 N 2.) 1/4\' nylon clothesline rope: 4000 N 3.) 1
ID: 1957143 • Letter: T
Question
Table1.) Thin White String: 50 N
2.) 1/4' nylon clothesline rope: 4000 N
3.) 11 mm Perlon Mountaineering rope: 3 x 10^4 N
4.) 1 1/4' manila climbing rope: 6 x 10^4 N
5.) 1/4' steel cable: 3 x 10^4 N
A 15.0 N bucket is to be raised at a constant speed of 50 cm/s by a rope. According to the information in the table (approximate breaking strengths), how many kilograms of cement can be put into this bucket without breaking the rope if it is made of:
a.) thin white string: m=? kg
b.)1/4' nylon clothesline rope: m=? kg
c.)1 1/4' manila climbing rope: m=? kg
Explanation / Answer
Raised at a constant speed, so acceleration is 0, Net Force = 0 a) String can provide 50 N, so we make the bucket equal to this: 15 N + (m)(9.8) = 50 N m = 3.57 kg b) This can provide 4000 N: 15 N + (m)(9.8) = 4000 N m = 406.63 kg c)This can provide 6 x 10^4 N 15 N = (m)(9.8) = 6 x 10^4 N m = 6120.92 kg
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