Answer :
If the system does not move then the tension in the string is 4.90 N.
What is tension?
The tension in a given string is caused due to the forces pulling on the rope from either end. We know that: force is equal to mass × acceleration. Assuming that the rope is stretched tightly, any change in acceleration or mass that the string is supporting will cause a change in tension in the rope. We can calculate the force of tension by using the formula: T = mg + ma.
Ropes and cables are quite useful in exerting forces they are able to efficiently transfer a force over a significant distance.
When system does not move, then acceleration is zero.
Using Newton's second law,
F= m*a
(0.5kg* 9.8) - T = m(0)
T= 4.90 N
Hence option b) is correct.
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Note : Question given on portal is not complete. Here is the complete question.
Question: A 1.2 kg box rests on a horizontal surface. A 0.5kg mass is suspended from string, which passes over a pulley and is attached to the box . The string is under tension, not loose.
If the system does not move , what is the tension in the string/
a. 0.5 N b.4.9N c. 9.8N d. 19.6N e. 24.5N
