Question

Two forces of magnitudes 1.5 N and 7.5 N act on a body. The ratio of magnitude of minimum to maximum resultant force on the body is

Answer 1

Answer:

• 2/3 is the required ratio of their resultant .

Explanation:

According to the Question

It is given that two forces of magnitude 1.5N & 7.5 N act on a body .

we have to calculate the rate of minimum to maximum resultant on the body .

As we know that the Resultant of two forces are maximum when the angle between them is 0°

For Maximum Resultant

⠀⠀⠀⠀⠀⠀⠀⠀⠀• Fₘₐₓ = F₁ + F₂

by putting the value we get

↠ Fₘₐₓ = (1.5 + 7.5) N

↠Fₘₐₓ = 9 N

And, the Resultant of two forces are minimum when the angle between them is 180° .

⠀⠀⠀⠀⠀⠀⠀⠀⠀•Fₘᵢₙ = F₂ - F₂

by putting the value we get

↠Fₘᵢₙ = (7.5 - 1.5 )N

↠Fₘᵢₙ = 6 N

Now, calculating the ratio of minimum to maximum resultant of the forces.

↠ Fₘᵢₙ/Fₘₐₓ = 6N/9N

↠Fₘᵢₙ/Fₘₐₓ = 2/3 N

• Hence, the Ratio of the minimum to maximum resultant of the force will be 2/3 .

Answer 2

Answer:

2:3

Explanation:

Given that two forces of magnitudes 1.5 N and 7.5 N act on a body.

We need to find out the ratio of magnitude of minimum to maximum resultant force on the body.

Let's say the 7.5N is the maximum force i.e. F1 and 1.5 N is the minimum force i.e. F2.

For maximum: Add the forces

→ F1 + F2

→ (7.5 + 1.5)N

→ 9N

For minimum: Subtract the minimum force from maximum force

→ F1 - F2

→ (7.5 - 1.5)N

→ 6N

Now the ratio of magnitude of minimum to maximum resultant force on the body is

→ (Force minimum)/(Force maximum)

→ F2/F1

→ 6N/9N

→ 2N/3N

Hence, the ratio of magnitude of minimum to maximum resultant force on the body is 2/3.