A ball is released from rest 5.1 metre above a 26.0 metre tank of water. In the water the ball experiences a bouyant force of 53 N and takes 4.70 seconds from the time it is released to reach the bottom of the tank. What is the mass of the ball?
To find the mass of the ball, we can use the equation that relates force, mass, and acceleration:
force = mass * acceleration
In this case, the force acting on the ball is the buoyant force in the water, and the acceleration of the ball is due to gravity.
The buoyant force exerted on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. In this case, the buoyant force is given as 53 N.
The acceleration due to gravity is approximately 9.8 m/s^2.
So, we can set up the equation:
53 N = mass * 9.8 m/s^2
To solve for the mass, we divide both sides of the equation by 9.8 m/s^2:
mass = 53 N / 9.8 m/s^2
mass ≈ 5.41 kg
Therefore, the mass of the ball is approximately 5.41 kg.