Cheat Sheet for F=ma

Solving for Force (F)

 

Given Information:  An object with a mass of 270kg is dropped with an acceleration of 9.8 m/sec2.  With how much force does that object hit the ground?

 

Step 1.  Write the formula                                         F=ma

 

Step 2.  List Values                                                 m= 270kg

                                                                                    A= 9.8 m/sec2

                                                                                                                F= ?

 

Step 3.  Substitute values into formula                       F= 270kg (9.8 m/sec2)

 

Step 4.  Do the math                                 

            a.  multiply  mass x acceleration                  F= 2646 kg x m/sec2

 

Step 5            Convert the label                                          F= 2646 N

 

Step 6 Circle your answer                                        F= 2646 N

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Solving for Mass (m)

 

Given Information:  An object with a force of 2646 N is dropped with an acceleration of 9.8 m/sec2.  How much mass does the object have?

 

Step 1.  Write the formula                                         F=ma

 

Step 2.  List Values                                                 F= 2646 N

                                                                                    M= ?

                                                                                    A= 9.8m/sec2

 

Step 3.  Substitute values into formula                       2646 N= m (9.8 m/sec2)

 

Step 4. Do the math

            a.  You need to get the mass by itself, so        

                divide each side by the acceleration.            2646N      = m(9.8m/sec2)

                                                                                    9.8m/sec2         9.8 m/sec2

            b.  Convert N into kg x m/sec2            2646kg x m/sec2    = m(9.8m/sec2)

                                                                                    9.8m/sec2         9.8 m/sec2

            c.  Do the math including the canceling of

                        labels                                                    270kg            = m

 

Step 5 Circle your answer                                        270kg = m

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Solving for Acceleration (a)

 

Given Information:  An object with a force of 2646 N has a mass of 270kg 9.8 m/sec2.  How much acceleration does the object have?

 

Step 1.  Write the formula                                         F=ma

 

Step 2.  List Values                                                 F= 2646 N

                                                                                    M= 270kg

                                                                                    A= ?

 

Step 3.  Substitute values into formula                       2646 N= 270kg (a)

 

Step 4. Do the math

            a.  You need to get the acceleration by itself,

so divide each side by the mass.            2646N      = 270kg (a)

                                                                                    270kg           270kg

            b.  Convert N into kg x m/sec2            2646kg x m/sec2    = 270kg(a)

                                                                             270kg            270kg 

            c.  Do the math including the canceling of

                        labels                                                    9.8m/sec2  = a

 

Step 5 Circle your answer                                        9.8m/sec2 = a

 

 

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