Benda berada dipermukaan bumi mengalami percepatan gravitasi 9,8 m.s-2 . Jika jari-jari bumi 8.400 km dan benda terletak pada ketinggian 6.800 km diatas permukaan bumi, percepatan gravitasi yang dialami benda sebesar ….=

Benda berada dipermukaan bumi mengalami percepatan gravitasi 9,8 m.s-2 . Jika jari-jari bumi 8.400 km dan benda terletak pada ketinggian 6.800 km diatas permukaan bumi, percepatan gravitasi yang dialami benda sebesar ….=

Jawaban : 3,02 m/s²

Diketahui:
g1 = 9,8 m/s²
r1 = 8400 km
r2 = 8400 km + 6800 km = 15200 km

Ditanya: g2 = .. ?

Pembahasan:

Percepatan gravitasi adalah percepatan suatu benda yang disebabkan oleh gaya gravitasi dalam medan gravitasi tertentu. Secara matematis dirumuskan:

g = GM / r²

Keterangan:
g : percepatan gravitasi (m/s²)
M : massa benda (kg)
G : konstanta gravitasi (6,672 x 10^-11 m³/kgs²)
r : jarak pusat kedua benda (m)

Berdasarkan rumus di atas, percepatan gravitasi berbanding terbalik dengan kuadrat jarak. Secara matematis dirumuskan:

g1 / g2 = r2² / r1²

Keterangan:
g1 : percepatan gravitasi di titik 1 (m/s²)
g2 : percepatan gravitasi di titik 1 (m/s²)
r1 : jarak titik 1 ke pusat bumi (m)
r2 : jarak titik 2 ke pusat bumi (m)

Maka diperoleh:
g1 / g2 = r2² / r1²
9,8 / g2 = (15200)² / (8400)²
9,8 / g2 = 3,24
g2 = 9,8 / 3,24
g2 = 3,02 m/s²

Jadi, percepatan gravitasi yang dialami benda sebesar 3,02 m/s².

Baca Juga :  Complete the sentences with a form of the verb in parentheses. Three hundred and fifty years ago, people (1. make) /made/ their own clothes. They (2. have, not) _____ machines for making clothes. There (3. be, not) _____ any clothing factories. People (4. tear) _____ homemade clothes that were sewn by hand. Today, very few people (5. make) _____ their own clothes. Clothing (6. come) _____ ready-made from factories. People (7. buy) _____ almost all their clothes from stores. The modern clothing industry (8. be) _____ international. As a result, people from different countries often (9. wear) _____ similar clothes. For example, people in many different countries throughout the world (10. wear) _____ jeans and t-shirts. However, some regional differences in clothing still (11. exist) _____ for instance, people of the Arabian deserts (12. wear) _____ loose, flowing lobes to protect themselves from the heat of the sun. In parts of Northern Europe, fur hats (13. be) _____ common in the winter. In the future, there (14. be, probably) _____ fewer and fewer differences in clothing. People throughout the world (15. wear) _____ clothes from the same factories. (16. We all, dress) _____ in the future? TV shows and movies about the future often (17. show) _____ everybody in a uniform of some kind. What (18. you, think) _____? Number 13