A force of 3.0 N and 1.0 N act on a 6.0 kg mass as shown. What is the acceleration of the 6.0 kg mass
In a rescue scene during the 911 crisis, a helicopter of mass 6000 kg accelerates upwards at the rate of 0.50 m/s2 while lifting a 2500 kg piece of concrete. What is the upward force exerted by the rotors of the helicopter? What is the tension in the cable attaching the concrete to the helicopter?
To find the acceleration of the 6.0 kg mass, 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.
The net force acting on the object is the sum of the individual forces acting on it, which in this case are 3.0 N and 1.0 N. Mathematically, we can express this as:
Net force = 3.0 N + 1.0 N = 4.0 N
Now, we can substitute the values into the equation:
acceleration = net force / mass
acceleration = 4.0 N / 6.0 kg
Using a calculator, we can find that the acceleration of the 6.0 kg mass is approximately 0.67 m/s².
To find the acceleration of an object, you need to 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. The formula is:
acceleration = net force / mass
In this case, there are two forces acting on the 6.0 kg mass: a force of 3.0 N and a force of 1.0 N. To find the net force, you need to add these forces together:
net force = 3.0 N + 1.0 N = 4.0 N
Now, you can substitute the values into the formula:
acceleration = 4.0 N / 6.0 kg
To find the final answer, simply divide the net force by the mass of the object:
acceleration = 0.67 m/s^2
Therefore, the acceleration of the 6.0 kg mass is 0.67 m/s^2.