If M = 2.0 kg, what is the tension in string 1?
A)1.2 N
B)11 N
C)34 N
D)3.5 N
E)40 N

Question

If M = 2.0 kg, what is the tension in string 1? 
A)1.2 N 
B)11 N 
C)34 N 
D)3.5 N 
E)40 N

Quizplus · Accepted Answer

Using Newton's second law of motion, we can calculate the tension in string 1 by considering the forces acting on M. There are two forces: the force due to gravity (weight) and the tension in string 1. Since the mass is not accelerating in the horizontal direction, the net force in that direction must be zero. Therefore, the tension in string 1 must be equal and opposite to the horizontal component of the weight. The horizontal component of the weight is (M*g)*sin(30), where g is the acceleration due to gravity and sin(30) is the sine of the angle between the weight and the horizontal. Plugging in the given values, we get:

Tension in string 1 = (2.0 kg)*(9.8 m/s^2)*(sin 30) = 34 N

Therefore, the best choice is C.

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