a 5.0 kg mass hangs at the end of a cord. Find the tension in the cord if the acceleration of the mass is 1.5 m/s squared up. I'm trying to find the formula (s) to plug in the numbers to work the problem. if you can help me with the formulas and plugging in the numbers, I should be able to work the rest of the problems I have. thanks in advance
tension= mg+ma= m(g+a)
To find the tension in the cord, 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, the force acting on the mass is the tension in the cord, and the acceleration is given as 1.5 m/s^2 upwards.
So, the formula we can use is:
Force (Tension) = Mass x Acceleration
Now, let's plug in the values given:
Mass (m) = 5.0 kg
Acceleration (a) = 1.5 m/s^2
Tension (T) = 5.0 kg x 1.5 m/s^2
T = 7.5 N
Therefore, the tension in the cord is 7.5 Newtons.