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

Last Updated on December 1, 2019

The image above represents reaction: lift moves down.

To compute for reaction: lift moves down, 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 down:

R = m(g – a)

Where;

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

Let’s solve an example;
Find the reaction when the mass is 28, acceleration is 9 and acceleration due to gravity is 9.8.

This implies that;

m = Mass = 28
g = acceleration due to gravity = 9.8
a = Acceleration = 9

R = m(g – a)
R = 28(9.8 – 9)
R = 28(0.80)
R = 22.4

Therefore, the reaction is 22.4 N.

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

m = R / g – a

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 8 and the acceleration due to gravity is 9.8

This implies that;

R = Reaction = 42
g = acceleration due to gravity = 9.8
a = Acceleration = 8

m = R / g – a
m = 42 / 9.8 + 8
m = 42 / 17.8
m = 2.359

Therefore, the mass is 2.359.

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

a = g – (R / m)

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 = g – (R / m)
a = g – (35 / 19)
a = 9.8 – 1.84
a = 7.96

Therefore, the acceleration is 7.96.

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 = 17

Therefore, the acceleration due to gravity is 17.

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

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

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