A cable is used to raise a 30 urn from an underwater archeological site. There is a 29 drag force from the water as the urn is raised at a constant speed.
To find the tension in the cable, we need to consider the forces acting on the urn.
1. First, let's consider the gravitational force acting on the urn. The weight of the urn can be calculated using the formula:
Weight = mass * acceleration due to gravity
Given that the mass of the urn is 30 kg and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the weight as follows:
Weight = 30 kg * 9.8 m/s^2 = 294 N
So, the gravitational force acting on the urn is 294 N.
2. Next, let's consider the drag force. The drag force is caused by the water resistance and acts in the opposite direction to the motion of the urn. In this case, the drag force is given as 29 N.
3. Since the urn is being raised at a constant speed, the net force acting on the urn must be zero. Therefore, the tension in the cable must balance out both the gravitational force and the drag force.
Tension - Drag force - Gravitational force = 0
Tension = Drag force + Gravitational force
= 29 N + 294 N
= 323 N
So, the tension in the cable is 323 N.
Remember, whenever calculating forces, it's important to consider the direction and sign conventions. Positive forces act in one direction, while negative forces act in the opposite direction.