Final answer:
To find the tensions in the cords, we can use the concept of vector resolution. The tensions in the two cords are approximately 125N each.
Step-by-step explanation:
To find the tensions in the cords, we can use the concept of vector resolution. Let's denote the tensions in the two cords as T1 and T2. Since the object is being supported vertically, the vertical components of the tensions must add up to balance the weight of the object.
Therefore, T1sin(30°) + T2sin(120°) = mg, where m is the mass of the object and g is the acceleration due to gravity. Since the weight of the object is given as 250N, we can substitute mg = 250N.
Next, since the cords form an isosceles triangle, the tensions in the two cords must be equal in magnitude. Therefore, T1 = T2.
By substituting these two conditions into the equation T1sin(30°) + T2sin(120°) = 250N, we can solve for the tensions. After simplifying, we get T1 = T2 ≈ 125N. Therefore, the correct answer is A.