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
.
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