A cannonball is dropped overboard from a boat. The cannonball sinks toward the bottom of the sea. The mass of the seawater displaced by the cannonball is exactly 2/3 the mass of the cannonball. Find the velocity of the cannonball after 10 seconds after being dropped.
A cannonball is dropped overboard from a boat. The cannonball sinks toward the bottom of the sea. The mass of the seawater displaced by the cannonball is exactly 2/3 the mass of the cannonball. Find the velocity of the cannonball after 10 seconds after being dropped.
To find the velocity of the cannonball after 10 seconds, we can use the equation of motion for an object in free fall:
v = u + gt
Where:
v is the final velocity of the cannonball
u is the initial velocity of the cannonball (which is 0, since it was dropped)
g is the acceleration due to gravity (approximately 9.8 m/s^2)
t is the time in seconds
Since the cannonball is dropped overboard from a boat, it starts with an initial velocity of 0.
Substituting these values into the equation, we have:
v = 0 + (9.8 m/s^2)(10 s)
v = 98 m/s
Therefore, the velocity of the cannonball after 10 seconds is 98 m/s.