contestada

How would the acceleration of a single shopping cart compare with the acceleration of a chain of three shopping carts if the same force acted on both?
a.1/3 as much on the single
b.1/2 as much on the single
c.2 times as much on the single
d.3 times as much on the single

Nobody seems to be getting it right so im sure the answer is D 3 times as fast because the force of pushing one cart is 3 times lighter than pushing 3 carts.

Respuesta :

antonsandiego
The answer is a.1/3 as much on the single.
The formula you need to use is  mass * acceleration
Let the mass of the 3 carts be 3m.
Therefore
F = (3m)a 
a = F/(3m).....(1)
Next, suppose the same force of F acts by a single cart, the mass must be m.Therefore: 
F = ma

a = F/m........(2)

These two equations above you can see that the acceleration on the 3 carts is less than that on a single cart by (1/3).
AL2006
But the question says that the SAME force is used on the single one AND on the chain of three.

D is correct. The reason is because the single cart has 1/3 as much MASS as the chain of three carts has.

Otras preguntas