What is the acceleration of the mass along the table?

AI Thread Summary
To determine the acceleration of a 10.0 kg mass on a frictionless table, influenced by a 5.0 kg hanging mass, one must apply Newton's second law. The system's total net force and mass must be calculated, considering the tension in the cord connecting the two masses. The acceleration is not equal to 9.8 m/s², as that value represents gravitational acceleration, not the system's acceleration. Both masses will move together with the same acceleration, which can be found using the equation F_net = M_total * a. Properly accounting for all forces, including tension, is crucial for solving the problem accurately.
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Homework Statement


A 10.0 kg mass, m1, on a frictionless table is accelerated by a 5.0 kg mass, m2, hanging over the edge of the table. What is the acceleration of the mass along the table?

Homework Equations


F=ma
W=mg


The Attempt at a Solution


Can someone atleast point me in the right direction?
 
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lennyp said:

Homework Statement


A 10.0 kg mass, m1, on a frictionless table is accelerated by a 5.0 kg mass, m2, hanging over the edge of the table. What is the acceleration of the mass along the table?

Homework Equations


F=ma
W=mg


The Attempt at a Solution


Can someone atleast point me in the right direction?
You need to draw a free body diagram of each mass, and note that the tension in the cord between the 2 masses have the same magnitude of pull on each mass, and that each mass must have the same magnitude of acceleration. You'll have to solve 2 equations with 2 unknowns and use Newton's second law. Please show some of your work so we can assist further.
 
since there is no friction will it move at the same speed as the 5 kg object and since the 5 kg object is hanging its moving at 9.8 m/s squared?
 
no... consider the two objects as a whole system. what is the total net force and total mass?
then from there and:
F_{\text{net}}=M_{\text{total}}a
you will find the acceleration.
 


Fg=mg=5kgx9.8m/s^2
and F=mg=ma so a=f:10kg
 


lennyp said:
since there is no friction will it move at the same speed as the 5 kg object and since the 5 kg object is hanging its moving at 9.8 m/s squared?

Even if there was friction, both will move with same speed. And 9.8 m/s2 is just acceleration die to gravity, you forgot to include tension!
 
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