object has mass of 2 kg and weight in water of 15N. Object is immersed in water and sinking.
whats the net force?
whats the acceleration?
what distance did it sink after 3 sec?
explain please!
Answer
To solve the given problem, we need to understand the concepts of mass, weight, force, acceleration, and distance.
1. Net force: The net force acting on an object is the sum of all forces acting on it. It is calculated using 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. Mathematically, net force (F_net) = mass (m) * acceleration (a).
2. Acceleration: Acceleration is the rate at which an object changes its velocity. In this case, since the object is sinking, acceleration will be in the downward direction (opposite to the direction of its initial velocity). It can be calculated using the equation: acceleration (a) = net force (F_net) / mass (m).
3. Distance: The distance the object sinks over time can be determined using the equation of motion: distance (s) = initial velocity (u) * time (t) + (1/2) * acceleration (a) * time (t)^2.
Now, let's apply these concepts to solve the problem:
Given:
Mass of the object (m) = 2 kg
Weight of the object in water = 15 N
1. Net force:
To calculate the net force, we need to convert the weight of the object in water to its mass. The weight of an object in a fluid is equal to the buoyant force. Therefore, weight in water = buoyant force = density of water * volume of the object * gravitational acceleration.
Since the object is sinking, the buoyant force is less than its weight. Therefore, the net force is the difference between the weight and the buoyant force. In this case, the object is immersed in water, so the buoyant force is equal to the weight in water. Hence, the net force is:
F_net = weight - buoyant force = weight - weight in water = 15 N - 15 N = 0 N
Thus, the net force is 0 N.
2. Acceleration:
Using Newton's second law of motion, we can find the acceleration:
a = F_net / m = 0 N / 2 kg = 0 m/s^2
Therefore, the acceleration is 0 m/s^2.
3. Distance:
Since the acceleration is 0 (as determined above), the object is not changing its velocity. Therefore, it is not sinking further after 3 seconds. Hence, the distance it has sunk after 3 seconds is 0 meters.
In summary:
- The net force acting on the object is 0 N.
- The acceleration of the object is 0 m/s^2.
- The object does not sink any further after 3 seconds, so the distance it has sunk is 0 meters.