2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a).
F = ma
a. Solve this equation for a.
b. If the force is F = –25 units and the mass is m = 10 units, find the acceleration, a.
c. If the force is F = 25 units and the acceleration is a = 5 units, find the mass, m.
a = F/m
-25/10 = -2.5
m = F/a, so
25/5 = 5
Solve the following 10 equations using the Force=Mass(acceleration) equation...
a. Solve this equation for a:
To solve the equation F = ma for a, we can divide both sides of the equation by m:
F/m = ma/m
Since ma/m simplifies to just a, the equation becomes:
a = F/m
b. If the force is F = -25 units and the mass is m = 10 units, find the acceleration, a:
Using the equation a = F/m, we can substitute in the given values:
a = (-25 units) / (10 units)
By dividing -25 by 10, we get:
a = -2.5 units
So, the acceleration is -2.5 units.
c. If the force is F = 25 units and the acceleration is a = 5 units, find the mass, m:
Using the equation a = F/m, we can rearrange it to solve for m by dividing both sides by a:
a = F/m
m = F/a
Substituting the given values into the equation:
m = (25 units) / (5 units)
By dividing 25 by 5, we get:
m = 5 units
So, the mass is 5 units.
a. To solve the equation F = ma for a, you need to isolate the variable a.
Start by dividing both sides of the equation by the mass (m):
F/m = ma/m
Since ma/m simplifies to just a, the equation becomes:
a = F/m
So the equation solved for a is a = F/m.
b. To find the acceleration, a, when the force (F) is -25 units and the mass (m) is 10 units, substitute these values into the equation a = F/m:
a = (-25)/10
a = -2.5
Therefore, when F = -25 units and m = 10 units, the acceleration (a) is -2.5 units.
c. To find the mass, m, when the force (F) is 25 units and the acceleration (a) is 5 units, you can rearrange the equation a = F/m to solve for mass.
Start by multiplying both sides of the equation by the mass (m):
a * m = F
Now, divide both sides of the equation by the acceleration (a):
m = F/a
Substituting the given values, we have:
m = 25/5
m = 5
Therefore, when F = 25 units and a = 5 units, the mass (m) is 5 units.