Two freely rolling carts, A and B, are pushed along a frictionless track, with c

Question

Two freely rolling carts, A and B, are pushed along a frictionless track, with cart A being pushed by someone's hand, and cart B being pushed by cart A. cart A has mass mA = 1.30 kg and cart B has mass mB = 3.51 kg. The acceleration of the carts is a = 1.35 m/s2. The acceleration of gravity g = 9.81 m/s2

Which of the following forces must be equal in magnitude because of Newton's second law?
N hand->cart A choices are W earth->cart A, W earth->cart B, N cart B->cart A, N tract-> cart A, or none of the above

N track->cart B choices are W earth->cart A, W earth->cart B, N cart B->cart A, N tract-> cart A, or none of the above

W earth->cart A choices are W earth->cart A, W earth->cart B, N cart B->cart A, N tract-> cart A, or none of the above

Any help would be greatly appreciated!

Explanation / Answer

according to newton's 2nd law,

 

F = ma

 

here F = ( m1+m2 )a

 

 F = 4.81*1.35

 

F = 6.493 N

 

the contact on blocks f = m2F/m1+m2

 

f = 3.51*6.493 / 4.81

 

f = 4.73 N

 

the magnitude of the force exerted by cart B on cart A is 4.73 N.

 

 

 

 

 

 

 

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