Two weights are connected by a massless wire and pulled upward with a constantspeed of 1.50 m/s by a vertical pull P. The tension in the wire is T(see figure). Whichone of the following relationships between Tand Pmust be true?
A)T
B)T=PC)P+T=125N
D)P=T+25N
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Answer:
C T=P is the right answer
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Given: Two weights are connected by a massless wire and pulled upward with a constant speed of 1.50 m/s by a vertical pull P. The tension in the wire is T(see figure).
To find: The correct relationship between T and P.
Solution:
The tension in the wire acts downwards due to the 100 N load which is acted upon acceleration due to gravity. The 25 N load also acts downwards because of the acceleration due to gravity. Since the vertical pull is upwards, the force P acts upwards.
According to the principle of conservation of energy, the force applied upwards must be equal to the force applied downwards. Hence,
Therefore, the correct relationship between T and P is D)P=T+25N.
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