Please how do i solve this?
A body of mass 36kg falls through a viscous liquid which offers a drag of 260N on the body. The upthrust on the body at terminal velocity is?
To find the upthrust on the body at terminal velocity, we can make use of the concept of terminal velocity. Terminal velocity is the maximum constant velocity reached by an object in free fall when the drag force equals the gravitational force.
The drag force acting on the body is given as 260N. The gravitational force acting on the body is the product of its mass (36kg) and the acceleration due to gravity (9.8 m/s^2), which is approximately 352.8N.
At terminal velocity, the drag force equals the gravitational force. Therefore, we can set up the equation:
Drag force = Gravitational force
260N = 352.8N
To find the upthrust, we need to subtract the weight of the body from the drag force. The weight of the body is the same as the gravitational force acting on it.
Upthrust = Drag force - Weight
= 260N - 352.8N
= -92.8N
The upthrust on the body at terminal velocity is -92.8N (negative sign indicates that the upthrust acts in the opposite direction to the gravitational force).