A 214 kg boat is sinking in the ocean. The force of gravity that draws the boat is partially offset by the bouyant force of the water, so that the net unbalanced force on the boat is -1310 N. What is the acceleration of the boat?
To solve this problem, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
Given:
Mass of the boat (m) = 214 kg
Net unbalanced force (F_net) = -1310 N
Using Newton's second law, we can rearrange the equation to solve for acceleration (a):
F_net = m * a
Substituting the given values into the equation, we have:
-1310 N = 214 kg * a
Now we can solve for the acceleration (a):
a = -1310 N / 214 kg
Calculating this, we get:
a ≈ -6.12 m/s²
Therefore, the acceleration of the boat is approximately -6.12 m/s².
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 the product of its mass and acceleration:
Force (F) = mass (m) * acceleration (a)
In this case, the net unbalanced force is given as -1310 N, and the mass of the boat is 214 kg. We can substitute these values into the equation:
-1310 N = 214 kg * a
To solve for the acceleration (a), we can rearrange the equation:
a = -1310 N / 214 kg
Now we can calculate the acceleration of the boat:
a ≈ -6.1206 m/s²
Therefore, the acceleration of the boat is approximately -6.1206 m/s². The negative sign indicates that the boat is sinking, as the net force is directed downward.