Find the acceleration (mls^2) of the masses, given that m1= 1.0kg, m2= 2.0kg and m3= 3.0kg . Assume the table is frictionless and the masses move freely.
never mine i got the answer =4.9
To find the acceleration of the masses, we can 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.
In this case, we need to consider the forces acting on each individual mass. Since the table is frictionless and the masses move freely, the only force acting on each mass is the force due to gravity.
The force due to gravity can be calculated using the formula: force = mass * acceleration due to gravity. The acceleration due to gravity on Earth is approximately 9.8 m/s^2.
For m1 = 1.0 kg, the force due to gravity will be 1.0 kg * 9.8 m/s^2 = 9.8 N.
For m2 = 2.0 kg, the force due to gravity will be 2.0 kg * 9.8 m/s^2 = 19.6 N.
For m3 = 3.0 kg, the force due to gravity will be 3.0 kg * 9.8 m/s^2 = 29.4 N.
Now, since all three masses are connected, they will accelerate together. Since the masses are connected, the net force acting on them will be the same for each mass.
Using Newton's second law, we know that force = mass * acceleration. Thus, the net force acting on the masses will be the sum of the individual forces.
The net force acting on the system is equal to the mass of the system multiplied by the acceleration of the system. The total mass of the system is the sum of the individual masses: 1.0 kg + 2.0 kg + 3.0 kg = 6.0 kg.
Therefore, the net force acting on the system is 6.0 kg * acceleration = 9.8 N + 19.6 N + 29.4 N.
Now we can solve for the acceleration of the system: acceleration = (9.8 N + 19.6 N + 29.4 N) / 6.0 kg.
Performing the calculation, we get: acceleration = 58.8 N / 6.0 kg ≈ 9.8 m/s^2.
Therefore, the acceleration of the masses is approximately 9.8 m/s^2.