Suppose a small object is attached to the end of the vertical string. Determine the tension force in the string when the object is moving upwards with the uniform velocity?

When the object is moving upwards with uniform velocity, the net force acting on the object is zero. This means that the tension force in the string is equal in magnitude and opposite in direction to the weight of the object.

Therefore, the tension force in the string when the object is moving upwards with uniform velocity is equal to the weight of the object. The weight of an object can be calculated using the formula:

Weight = mass x acceleration due to gravity

So, the tension force in the string can be calculated as:

Tension force = Weight = mass x acceleration due to gravity

Where:
- mass is the mass of the object
- acceleration due to gravity is the acceleration due to gravity (approximately 9.81 m/s^2)

By knowing the mass of the object, you can calculate the tension force in the string when the object is moving upwards with uniform velocity.

When an object is moving upwards with uniform velocity, it means that the net force acting on it is zero. The forces acting on the object are the tension force in the string and the gravitational force. So, the tension force must be equal to the gravitational force.

$$T=mg$$

where,

- T is the tension force
- m is the mass of the object
- g is the acceleration due to gravity