An object has force of 30N and 55N applied on it. The force act in opposite directions to each other. The object accelerates to the left at 0.5/s².
What is the mass of the object?
Explain why the object accelerated to the left
To find the mass of the object, we can use Newton's Second Law of Motion, which states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Mathematically, this can be written as:
Fnet = ma
Where:
Fnet is the net force acting on the object
m is the mass of the object
a is the acceleration of the object
In this case, the net force acting on the object is the difference between the two forces:
Fnet = 30N - 55N = -25N
The negative sign indicates that the net force is acting in the opposite direction of the 30N force. We can now substitute the values into the equation and solve for the mass of the object:
-25N = m * 0.5m/s^2
m = -25N / 0.5m/s^2
m = 50 kg
Therefore, the mass of the object is 50 kg.
The object accelerates to the left because the net force acting on it is in the opposite direction of the larger force. In this case, the net force of -25N is stronger than the 30N force acting to the right, causing the object to accelerate to the left. Newton's Second Law tells us that the acceleration of an object is directly proportional to the net force acting on it, so in this case, the object accelerates in the direction of the stronger force.