Berikut ini adalah pertanyaan dari rxiqiii pada mata pelajaran Matematika untuk jenjang Sekolah Menengah Atas
the distance, d m, between the particles.
(i) Write down a formula connecting F and d.
(ii) When the particles are a certain distance apart,
the force of repulsion is 20 N. Find the force
when the distance is halved.
Jawaban dan Penjelasan
Berikut ini adalah pilihan jawaban terbaik dari pertanyaan diatas.
Jawaban:
(i) The formula connecting the force of repulsion, F, and the distance, d, can be written as:
F = k/d^2
where k is the constant of proportionality.
(ii) When the distance is halved, the new distance becomes d/2. We can use the formula to find the new force, F'.
F' = k/(d/2)^2
Since F = 20 N, we can substitute this value into the equation:
20 = k/d^2
Now we can solve for the value of k:
k = 20 * d^2
Substituting this value of k into the equation for F':
F' = (20 * d^2) / (d/2)^2
Simplifying the equation:
F' = (20 * d^2) / (d^2/4)
F' = 80
Therefore, when the distance is halved, the force of repulsion becomes 80 N.
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Last Update: Fri, 11 Aug 23