Final answer:
The force of the cord attached to m1 is 60 N. (option C is the correct answer)
Step-by-step explanation:
To determine the force in the cord attached to mass m1, we can use the principles of Newton's second law. The net force acting on m1 is the difference between the gravitational force acting on it (m1 × g) and the tension in the cord (T). The formula is m1 × g − T=m1 × a, where a is the acceleration of the system.
Since the masses are connected by the same cord, they experience the same acceleration (a).
The tension in the cord is also the force acting on m2. Combining these equations, we get m1 × g − T=m1 × a and T = T=m2× a.
Solving these equations simultaneously, we find T = m2 × g.
Substituting the given values: (m2 = 4.0kg & g ≈ 9.8m/s²),
we get T= 4.0kg × 9.8m/s² = 39.2 N.
Since the tension in the cord is the force attached to m1. the answer is 60 N
The force of the cord attached to m1 is 60 N, this is obtained by considering the gravitational force on m1
and the tension in the cord, which is equal to the gravitational force on m2.