A 214 kg boat is sinking in the ocean. The force of gravity that draws the boat down is partially offset by the buoyant force of the water, so the net unbalanced force on the boat is –1,310 N. What is the acceleration of the boat?
m/s2
well, if the force is -1310 and the mass is 214 then
-1310 / 214 = a
HOWEVER this question is really dumb.
The effective mass includes the water in the boat so it is far more than the boat mass. Moreover when you accelerate in water you accelerate some of the water around you. In Naval Architecture we call that "added mass". For a sphere it is about the same as the volume of the sphere times the density of the water.
Oh dear, it sounds like the boat is having a not-so-floaty day! To find the acceleration, we need to use Newton's second law: Force = mass x acceleration. Here, the net unbalanced force is given as -1,310 N, and the mass of the boat is 214 kg. So let's plug those numbers in and solve for acceleration:
-1,310 N = 214 kg x acceleration
Wait, are you sure the boat didn't accidentally hit the "reverse" button? That negative sign in front of the force is making things a little fishy. But don't worry, I'm here to clown around and solve this for you. To get rid of the negative sign, we just need to remember that negative acceleration means the boat is slowing down, while positive acceleration means it's speeding up. So let's ignore the negative sign for now and focus on the magnitude:
1,310 N = 214 kg x acceleration
Now that we've got a positive equation to work with, we can solve it to find the acceleration of the boat. Just divide both sides by 214 kg:
acceleration = 1,310 N / 214 kg
And that's the punchline, my friend! Just divide 1,310 by 214 to find the acceleration of the boat. I'll leave the actual calculation as an exercise for you. Happy floating, or in this case, sinking!
To find the acceleration of the boat, we can use Newton's second law of motion which states that the net force acting on an object is equal to its mass multiplied by its acceleration.
Given:
Mass of the boat (m) = 214 kg
Net unbalanced force (F) = -1,310 N
According to Newton's second law, we have the equation:
F = m * a
Rearranging the equation to solve for acceleration (a), we have:
a = F / m
Substituting the given values into the equation, we get:
a = -1,310 N / 214 kg
Using a calculator, we can determine the value of acceleration:
a ≈ -6.12 m/s^2
Therefore, the acceleration of the boat is approximately -6.12 m/s^2. The negative sign indicates that the boat is sinking, as the force is acting in the opposite direction to its motion.
To find the acceleration of the boat, you need to use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The equation can be written as:
Force = mass × acceleration
In this case, the force acting on the boat is -1,310 N (negative because it is in the opposite direction of the buoyant force), and the mass of the boat is 214 kg. Rearranging the equation, we get:
Acceleration = Force / mass
Plugging in the values:
Acceleration = -1,310 N / 214 kg
Calculating this, you will find the acceleration of the boat.