While an elevator of mass 2681 kg moves upward, the tension in the cable is 29.4 kN.
(a) What is the acceleration of the elevator?
(b) If at some point in the motion the velocity of the elevator is 1.04 m/s upward, what is the elevator's velocity 3.96 s later?
Please helppp and explain because I keep getting it wrong!!! Thnks
tension= (mg+ma) solve for a.
b. Vnext= vfirst+ a t
solve for vnext
So would it be
29.4=(2681(9.8)+2681(a))
I don't think so cuz it gives me .001 n thtz wrong...
You need a tutor. Tension=ma+mg is in SI units. Tension was given as 29,400 Newtons.
You have to consider units.
Oh I see...thnk you n sorry :/
would the be a=-6.8 or 6.8 ???
Sure, I can help you with that!
(a) To find the acceleration of the elevator, 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 net force is the tension in the cable.
Step 1: Convert the tension from kilonewtons (kN) to newtons (N).
Tension = 29.4 kN * 1000 = 29,400 N
Step 2: Use Newton's second law to find the acceleration.
Net force = mass * acceleration
29,400 N = 2681 kg * acceleration
To solve for acceleration, divide both sides of the equation by the mass:
acceleration = 29,400 N / 2681 kg
Now you can calculate the acceleration.
(b) To find the elevator's velocity 3.96 s later, you can use the equation of motion: velocity = initial velocity + acceleration * time.
Step 1: Calculate the initial velocity.
Given: initial velocity = 1.04 m/s upward
Step 2: Find the acceleration (which we calculated in part a).
Step 3: Use the equation of motion to find the final velocity.
velocity = initial velocity + acceleration * time
final velocity = 1.04 m/s + acceleration * (3.96 s)
Now, you can calculate the final velocity.
Remember to substitute the values accurately into the formulas and perform the calculations correctly for accurate results. Let me know if you need any further assistance!