A small block sides without friction down an inclined plane starting from rest. Let 𝑆𝑛 be the distance travelled from time 𝑡 = 𝑛 − 1 to 𝑡 = 𝑛. Then 𝑆𝑛/𝑆𝑛+1 is

April 12, 2022

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Physics Problems

Question : A small block sides without friction down an inclined plane starting from rest. Let 𝑆𝑛 be the distance travelled from time 𝑡 = 𝑛 − 1 to 𝑡 = 𝑛. Then 𝑆𝑛/𝑆𝑛+1 is

(A) $\dfrac{2n-1}{2n}$

(B) $\dfrac{2n+1}{2n-1}$

(D) $\dfrac{2n}{2n+1}$

Answer : option (C)

Solution :

A small block sides without friction down an inclined plane starting from rest. Let 𝑆𝑛 be the distance travelled from time 𝑡 = 𝑛 − 1 to 𝑡 = 𝑛. Then 𝑆𝑛/𝑆𝑛+1 is