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Physics 1 Marks Question

Circular Motion · UP Board (UPMSP) STD 11 Science (UPMSP - English Medium). 3 questions.

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Question 11 Mark
Is it necessary to express all angles in radian while using the equation $\omega=\omega_0+\text{at}?$
Answer
No, we do not need to express all the angles in radian we can take limit over very small angle and calculate it over the radian.
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Question 21 Mark
A stone is fastened to one end of a string and is whirled in a vertical circle of radius R. Find the minimum speed the stone can have at the highest point of the circle.
Answer
At the highest point of a vertical circle$\frac{\text{mv}^2}{\text{R}}=\text{mg}$
$\Rightarrow\text{v}^2=\text{Rg}\Rightarrow\text{v}=\sqrt{\text{Rg}}$
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Question 31 Mark
A scooter weighing 150kg together with its rider moving at 36km/ hr is to take a turn of radius 30m. What horizontal force on the scooter is needed to make the turn possible?
Answer
Given that m = 150kg. v= 36km/ hr = 10m/ sec, r = 30m. Horizontal force needed is $\frac{\text{mv}^2}{\text{r}}=\frac{150\times(10)^2}{30}$
$\frac{150\times100}{30}=500\text{N}$
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