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# How to Calculate and Solve for Reaction: Lift Moves Up | Motion

The image above represents reaction: lift moves up.

To compute for reaction: lift moves up, three essential parameters are needed and these parameters are mass (m), acceleration (a) and acceleration due to gravity (g).

The formula for calculating reaction: lift moves up:

R = m(a + g)

Where;

R = Reaction
m = Mass
g = acceleration due to gravity
a = Acceleration

Let’s solve an example;
Find the reaction when the mass is 18, acceleration is 21 and acceleration due to gravity is 9.8.

This implies that;

m = Mass = 18
g = acceleration due to gravity = 21
a = Acceleration = 9.8

R = m(a + g)
R = 18(21 + 9.8)
R = 18(30.8)
R = 554.4

Therefore, the reaction is 554.4 N.

Calculating the Mass when the Reaction, the Acceleration and the Acceleration due to Gravity is Given.

m = R / a + g

Where;

m = Mass
R = Reaction
g = acceleration due to gravity
a = Acceleration

Let’s solve an example;
Find the mass when the reaction is 42, the acceleration is 21 and the acceleration due to gravity is 9.8

This implies that;

R = Reaction = 42
g = acceleration due to gravity = 9.8
a = Acceleration = 21

m = R / a + g
m = 42 / 21 + 9.8
m = 42 / 30.8
m = 1.36

Therefore, the mass is 1.36.

Calculating the Acceleration when the Reaction, the Mass and the Acceleration due to Gravity is Given.

a = (R / m) – g

Where;

a = Acceleration
R = Reaction
m = Mass
g = acceleration due to gravity

Let’s solve an example;
Find the acceleration when the reaction is 35, mass is 19 and acceleration due to gravity is 9.8.

This implies that;

R = Reaction = 35
m = Mass = 19
g = acceleration due to gravity = 9.8

a = (R / m) – g
a = (35 / 19) – 9.8
a = 1.84 – 9.8
a = -7.95

Therefore, the acceleration is -7.95.

Calculating the Acceleration when the Reaction, the Mass and the Acceleration is Given.

g = (R / m) – a

Where;

g = acceleration due to gravity
R = Reaction
m = Mass
a = Acceleration

Let’s solve an example;
Find the acceleration due to gravity when the reaction is 40, the mass is 4 and the acceleration is 7.

This implies that;

R = Reaction = 40
m = Mass = 4
a = Acceleration = 7

g = (R / m) – a
g = (40 / 4) – 7
g = 10 – 7
g = 3

Therefore, the acceleration due to gravity is 3.

Nickzom Calculator – The Calculator Encyclopedia is capable of calculating the reaction: lift moves up.

To get the answer and workings of the reaction: lift moves up using the Nickzom Calculator – The Calculator Encyclopedia. First, you need to obtain the app.

You can get this app via any of these means:

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You can also try the demo version via https://www.nickzom.org/calculator