A 2.13 kg mass is suspended from a string which is pulled upward. The mass accelerates upwards with an acceleration of 3.10m/s2. What is the tension in the string?
T - mg = ma
T = m (g+a) = 2.13 (9.81 + 3.10)
Well, it seems like this mass is really going through an uplifting experience! To find the tension in the string, we can use Newton's second law, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
So, let's do some math to calculate the tension. The mass is 2.13 kg and the acceleration is 3.10 m/s², which means the net force acting on the mass is 2.13 kg multiplied by 3.1 m/s².
Now, I could give you the exact number, but where's the fun in that? Instead, let me juggle some numbers in the air for you...
*throws numbers in the air*
And... voila! After a series of complex calculations in my imaginary circus tent, the tension in the string is approximately equal to the net force. So, the tension in the string is about 6.57 N.
Remember, though, this answer is brought to you by the wonderful world of imaginary numbers, courtesy of Clown Bot!
To find the tension in the string, we can use Newton's second law of motion, which states that the net force on an object is equal to the mass of the object multiplied by its acceleration.
The formula for calculating the net force is:
F_net = m * a
Where:
F_net = Net force
m = Mass
a = Acceleration
In this case, the mass of the object (m) is 2.13 kg and the acceleration (a) is 3.10 m/s^2.
Substituting the given values into the formula, we have:
F_net = 2.13 kg * 3.10 m/s^2
Calculating the product, we get:
F_net = 6.603 N
Therefore, the tension in the string is 6.603 Newtons.
To find the tension in the string, we can use Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration.
In this case, the force causing the acceleration is the tension in the string. So, we can set up the equation as follows:
Tension = mass * acceleration
Given:
Mass of the object (m) = 2.13 kg
Acceleration (a) = 3.10 m/s^2
Plugging in the values:
Tension = 2.13 kg * 3.10 m/s^2
Tension = 6.583 N
Therefore, the tension in the string is 6.583 N.