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28 votes
A 5. 00 kg mass is at the origin. A 7. 00

kg mass is located at x = 0. 600 m,

and a 4. 00 kg mass is at x = 0. 900 m.

What is the net gravitational force on

the 5. 00 kg mass?

User Grubhart
by
2.7k points

1 Answer

24 votes
24 votes

Answer:

Given,

A 5 kg mass is at the beginning. A 7 kg mass is situated at x = 0.6 m and a 4 kg mass is at x = 0.9 m.

To find,

the net gravitational power on the 5 kg mass.

we know, from Newton's gravitational regulation, two enormous bodies draw in one another by a power , F = Gm₁m₂/r²

thus, 7 kg mass draws in 5kg mass by the power, F₁ = G(7kg)(5kg)/(0.6)²

= 35G/0.36 = 97.22G

essentially, 4kg mass draws in 5kg mass by the power, F₂ = G(4kg)(5kg)/(0.9)²

= 20G/0.81 = 24.69G

net gravitational power = F₁ + F₂

= 97.22G + 24.69G

= 121.91G

we know, G = 6.67 × 10¯¹¹ Nm²/Kg²

F = 121.91 × 6.67 × 10¯¹¹

= 813.1397 × 10¯¹¹ N

= 8.131397 × 10^-9 N ≈ 8.13 × 10^-9 N

Consequently net gravitational power following up on mass 5kg is 8.13 × 10^-9 N.

Step-by-step explanation:

How would you track down force with mass and distance?

Picture result for A 5. 00 kg mass is at the beginning. A 7. 00 kg mass is situated at x = 0. 600 m, and a 4. 00 kg mass is at x = 0. 900 m. What is the net gravitational power on the 5. 00 kg mass?

What is the recipe for force? The power equation is characterized by Newton's second law of movement: Power applied by an item rises to mass times speed increase of that article: F = m ⨉ a. To utilize this equation, you want to utilize SI units: Newtons for force, kilograms for mass, and meters each second squared for speed increase.

User Yanis
by
3.3k points