What is the acceleration of the elevator?

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SUMMARY

The acceleration of an elevator can be calculated using the tension in the string supporting a suspended object. In this discussion, a 4.0 kg object experiences a tension of 44.0 Newtons. The correct calculation for the elevator's acceleration, factoring in gravitational force, yields an acceleration of 1.2 m/s². The formula used is F = ma, where F is the net force and m is the total mass of the system.

PREREQUISITES
  • Understanding of Newton's Second Law (F = ma)
  • Basic knowledge of gravitational force (9.8 m/s²)
  • Familiarity with tension in strings and forces in equilibrium
  • Concept of mass in a system (combined mass of elevator and suspended object)
NEXT STEPS
  • Study the implications of varying mass on elevator acceleration
  • Learn about forces in non-inertial reference frames
  • Explore real-world applications of tension in mechanical systems
  • Investigate the effects of different weights on elevator performance
USEFUL FOR

Physics students, engineers, and anyone interested in understanding the dynamics of elevators and forces acting on suspended objects.

Muteb
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The tension on a string from which a 4.0 kg object is suspended in an elevator is equal to 44.0 Newton.

What is the acceleration of the elevator?

Is this answer rigth

44 N - (4.0 kg X 9.8) = a (4.5 + 4) I think the 4.5 is mass of elevator and 4 the mass of the object which is suspended.

Acceleration = 0.57 m/s^2
 
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Muteb said:
The tension on a string from which a 4.0 kg object is suspended in an elevator is equal to 44.0 Newton.

What is the acceleration of the elevator?

Is this answer rigth

44 N - (4.0 kg X 9.8) = a (4.5 + 4) I think the 4.5 is mass of elevator and 4 the mass of the object which is suspended.

Acceleration = 0.57 m/s^2
You're almost there. Why do you need to include the mass of the elevator and where do you pull that value of 4.5kg from?
 
I think this is ok now isn't it?

F=4.8N
F=ma
4.8kg*m/s^2=4kg*a
a=1.2m/s^2 [u
 
Muteb said:
I think this is ok now isn't it?

F=4.8N
F=ma
4.8kg*m/s^2=4kg*a
a=1.2m/s^2 [u
Looks good to me :approve:
 

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