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You work at a garden store for the summer, and you lift a 14 kg bag of fertilizer with a force of 227 N.

a. What is the magnitude of the acceleration of the fertilizer bag?
b. How much does the fertilizer bag weigh?

Respuesta :

Answer:

(a) Acceleration of the bag will be a=16.214m/sec^2  

(B) Weight of the bag will be 137.2 N

Explanation:

We have given mass of the bag m = 14 kg

Force with which bag is lifted = 227 N

(A) According to newtons law we force is equal to F = ma , here m is mass and a is acceleration

So [tex]227=14\times a[/tex]

[tex]a=16.214m/sec^2[/tex]

(b) Acceleration due to gravity [tex]g=9.8m/sec^2[/tex]

We know that weight is given by W = mg , here m is mass and g is acceleration due to gravity

So weight [tex]W=mg=14\times 9.8=137.2N[/tex]

So weight of the bag will be 137.2 N

The Acceleration is 16.214 m/s^2 while the weight of the bag is 137.34N

Mass, Weight, and Acceleration

Given Data

  • Mass of bag = 14kg
  • Force = 227N

  • A. Acceleration?

We know that the relationship between mass, force, and acceleration is given as

F = ma

227 = 14*a

a = 227/14

a = 16.214 m/s^2

  • B. Weight?

W = mg

W = 14*9.81

W = 137.34N

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