Explanation:
a) Let's first calculate the tension in the second rope.To calculate the tension in the second rope, we will use the fact that the object is stationary (not moving), which means that the forces acting on it are balanced. This means that the tension in the two ropes must be equal.We can write the equation: T1 = T2where T1 is the tension in the first rope (200 N) and T2 is the tension in the second rope.Let's rearrange the equation to find T2:T2 = T1 = 200 NT2 = 200 NTherefore, the tension in the second rope is 200 N.b) Now let's calculate the force of gravity acting on the object. The force of gravity is the weight of the object, which can be calculated using the equation:F = mgwhere F is the force of gravity, m is the mass of the object, and g is the acceleration due to gravity (9.8 m/s²).To find the mass of the object, we need to use the fact that the forces acting on the object are balanced. This means that the upward force (the tension in the ropes) must be equal to the downward force (the force of gravity).We can write the equation:T1 cos 50° + T2 cos 40° = mgwhere T1 is the tension in the first rope, T2 is the tension in the second rope, and m is the mass of the object.Let's substitute the values we know:T1 = 200 NT2 = 200 N50°T2 = 200 N cos 50° = 128.19 N40°T1 = 200 N cos 40° = 153.65 Nm = (T1 cos 50° + T2 cos 40°) / g= (153.65 N + 128.19 N) / 9.8 m/s²= 28.09 kgNow we can calculate the force of gravity:F = mg= 28.09 kg × 9.8 m/s²= 275.08 NTherefore, the force of gravity acting on the object is 275.08 N.
Hope you understood it...