A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at an angle of `60^(@)` with the verti

Question

A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at an angle of `60^(@)` with the verti

A ball is projected vertically upwards with a certain initial speed. Another ball of the same mass is projected at an angle of `60^(@)` with the vertical with the same initial speed. At highest points of their journey, the ratio of their potential energies will be
A. `1:1`
B. `2:1`
C. `3:2`
D. `4:1`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - D
In verticle upwards. PE=mgh
`=mg((V_(2))/(2g))=(mv^(2))/(2)`...(i)
at an angle of `60^(@)` with vertical PE=mgh
`=mg((V^(2)sin^(2)30^(@))/(2g))=(mv^(2))/(8)`....(ii)
From (i)/(ii). `((PE)_(up))/((PE)_("at" theta=60^(@)"fromvt.))=((mv^(2))/(2))/((mv^(2))/(8))=(4)/(1)`

4 views Answered 2023-02-05 15:29