An elevator has a mass of 1200.0 kg. It is rising at a steady acceleration DOWNWARD of -3.00 m/s2. What is the tension in the cable lifting the elevator?
T=1200.0x9.8 +1200.0x-3600
=8160N
right?
where did you get -3600 ? It says -3.00
1200 ( 9.8 -3) = 1200 (6.8) = 8160 N right
whoops 1200x-3.00=-3600
To find the tension in the cable lifting the elevator, we need to use Newton's second law of motion, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, since the elevator is moving downward, we consider the downward acceleration as negative.
The formula for calculating the tension in the cable is:
Tension = Mass x (Gravity + Acceleration)
Given:
Mass (m) = 1200.0 kg
Acceleration (a) = -3.00 m/s^2 (negative because the elevator is moving downward)
Gravity (g) = 9.8 m/s^2 (gravitational force)
Now we can substitute these values into the formula:
Tension = 1200.0 kg x (9.8 m/s^2 - 3.00 m/s^2)
Tension = 1200.0 kg x 6.8 m/s^2
Tension = 8160 N
So, yes, your calculation is correct. The tension in the cable lifting the elevator is 8160 N.