Physics

How to Calculate and Solve for Force | Motion

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The image above represents force.

To compute for force, two essential parameters are needed and these parameters are mass (m) and acceleration (a).

The formula for calculating force:

F = ma

Where;

F = Force
m = Mass
a = Acceleration

Let’s solve an example;
Find the force when the mass is 12 and the acceleration is 26?

This implies that;

m = Mass = 12
a = Acceleration = 26

F = ma
F = 12 x 26
F = 312

Therefore, the force is 312 N.

Calculating for Mass when the Force and the Acceleration is Given.

m = F / a

Where;

m = Mass
F = Force
a = Acceleration

Let’s solve an example;
Find the mass when the force is 100 and the acceleration is 20.

This implies that;

F = Force = 100
a = Acceleration = 20

m = F / a
m = 100 / 20
m = 5

Therefore, the mass is 5.

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How to Calculate and Solve for Impulse | Motion

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The image above represents impulse.

To compute for impulse, two essential parameters are needed and these parameters are force (f) and time (t).

The formula for calculating impulse:

I = Ft

Where;

I = Impulse
F = Force
t = Time

Let’s solve an example;
Given that the force is 28 and the time is 14. Find the impulse?

This implies that;

F = Force = 28
t = Time = 14

I = Ft
I = 28 x 14
I = 392

Therefore, the impulse is 392 Ns.

Calculating the Force when the Impulse and the Time is Given.

F = I / t

Where;

F = Force
I = Impulse
t = Time

Let’s solve an example;
Given that the impulse is 60 and the time is 10. Find the force?

This implies that;

I = Impulse = 60
t = Time = 10

F = I / t
F = 60 / 10
F = 6

Therefore, the force is 6 N.

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How to Calculate and Solve for Linear Momentum | Motion

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The image above represents linear momentum.

To compute for linear momentum, two essential parameters are needed and these parameters are mass (m) and velocity (v).

The formula for calculating linear momentum:

p = mv

Where;

p = Momentum
m = Mass
v = Velocity

Let’s solve an example;
Find the momentum when the mass is 8 and the velocity is 12.

This implies that;

m = Mass = 8
v = Velocity = 12

p = mv
p = 8 x 12
p = 96

Therefore, the momentum is 96 Kgm/s.

Calculating the Mass when the Momentum and the Velocity is Given.

m = p / v

Where;

m = Mass
p = Momentum
v = Velocity

Let’s solve an example;
Find the mass when the momentum is 40 and the velocity is 18.

This implies that;

p = Momentum = 40
v = Velocity = 18

m = p / v
m = 40 / 18
m = 2.22

Therefore, the mass is 2.22 kg.

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How to Calculate and Solve for Velocity | Motion

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The image above represents velocity.

To compute for velocity, three essential parameters are needed and these parameters are angular velocity (ω), amplitude (A) and displacement (y).

The formula for calculating velocity:

v = ω√(A² – y²)

Where;

v = Velocity
ω = Angular Velocity
A = Amplitude
y = Displacement

Let’s solve an example;
Find the velocity when the angular velocity is 7, amplitude is 10 and displacement is 13.

This implies that;

ω = Angular Velocity = 7
A = Amplitude = 10
y = Displacement = 13

v = ω√(A² – y²)
v = 7 x √(10² – 13²)
v = 7 x √(100 – 169)
v = 7 x √(-69)

i signifies a complex number = √(-1).

v = 7 x √(69) x √(-1)
v = 7 x √(69)i
v = 7 x 8.30i
v = 7(8.30i)

Therefore, the velocity is 7(8.30i) m/s.

Calculating the Angular Velocity when the Velocity, the Amplitude and the Displacement is Given.

ω = v / √(A2 – y2)

Where;

ω = Angular Velocity
v = Velocity
A = Amplitude
y = Displacement

Let’s solve an example;
Find the angular velocity when the velocity is 28, the amplitude is 14 and the displacement is 10.

This implies that;

v = Velocity = 28
A = Amplitude = 14
y = Displacement = 10

ω = v / √(A2 – y2)
ω = 28 / √(142 – 102)
ω = 28 / √(196 – 100)
ω = 28 / √(96)
ω = 28 / 9.79
ω = 2.86

Therefore, the angular velocity is 2.86.

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