Question

Find the tension in an elevator cablfind the tension in an elevator cable if the 1000-kg elevator is ascending with an acceleration of 1.2 m/s2, upward.e if the 1000-kg elevator is ascending with an acceleration of 1.2 m/s2, upward.

Answer 1

The tension in the elevator cable when a 1000-kg elevator is ascending with an acceleration of 1.2 m/s^2 upward is 11000 Newtons.

Step-by-step explanation:

To find the tension in an elevator cable when the elevator is ascending with an acceleration, we can use Newton's second law (F = m * a), where F is the force, m is the mass, and a is the acceleration. In this case, the total force exerted by the cable has to counteract both the force due to gravity and provide the upward acceleration. The force due to gravity is m * g, where g is the acceleration due to gravity, 9.8 m/s2, and the additional force needed for the acceleration is m * a.

The equation for the tension T in the cable becomes:
T = m * (g + a)
Plugging in the mass (1000 kg) and the acceleration (1.2 m/s2):
T = 1000 kg * (9.8 m/s2 + 1.2 m/s2)
T = 1000 kg * 11.0 m/s2
T = 11000 N

Therefore, the tension in the elevator cable is 11000 Newtons.