If the tension in the cable of 1000 kg elevator is 1000 kg weight, the elevator

 May be at rest or in uniform motion

Explanation: The tension in the cable of an elevator is the force exerted by the cable to support the elevator's weight. The weight (W) of the elevator is calculated using the formula:

W = m × g

where:

• m = mass of the elevator (1000 kg)
• g = acceleration due to gravity (approximately 9.8 m/s²)

Substituting the given values:

W = 1000 kg × 9.8 m/s² = 9800 N

If the tension (T) in the cable is equal to the weight of the elevator (T = W = 9800 N), the net force acting on the elevator is zero. According to Newton's First Law of Motion, an object with zero net force acting on it will either remain at rest or continue moving with a constant velocity. Therefore, the elevator may be at rest or moving with uniform velocity. This scenario is consistent with the elevator being in a state of equilibrium, where the upward tension force balances the downward gravitational force.