QUESTION IMAGE
Question
jordan is riding up in an elevator in a tall building. the elevator and jordan have a combined weight of 12,000 newtons. a cable pulls the elevator upward with a force of 12,000 newtons.
complete the sentence.
as the elevator goes up, the magnitude of its velocity ______.
increases decreases does not change
Step1: Identify vertical forces
The upward force from the cable is $F_{up}=12,000\ \text{N}$, and the downward weight is $F_{down}=12,000\ \text{N}$.
Step2: Calculate net force
Net force $F_{net}=F_{up}-F_{down}=12,000 - 12,000=0\ \text{N}$.
Step3: Relate net force to acceleration
By Newton's second law $F_{net}=ma$, so $a=\frac{F_{net}}{m}=0\ \text{m/s}^2$.
Step4: Relate acceleration to velocity
Zero acceleration means velocity magnitude is constant.
Snap & solve any problem in the app
Get step-by-step solutions on Sovi AI
Photo-based solutions with guided steps
Explore more problems and detailed explanations
does not change