Question 119: Work, Energy and Power & Circular Motion

Question

A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20 cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is :

Accepted Answer

Normal force will provide the necessary centripetal force.
$$ \Rightarrow $$ N = m$$\omega$$
2
R
Also, $$\omega$$ = $${{2\pi } \over t}$$
N = (0.2)$$\left( {{{4{\pi ^2}} \over {{T^2}}}} ight)$$(0.2)
$$ \Rightarrow $$ N = 0.2 $$	imes$$ $${{4 	imes {{(3.14)}^2}} \over {{{(40)}^2}}}$$ $$	imes$$ 0.2
$$ 	herefore $$ N = 9.859 $$	imes$$ 10
$$-$$4
N

Answer

9.859 $$	imes$$ 10$$-$$2 N

Answer

0.0314 N

Answer

9.859 $$	imes$$ 10$$-$$4 N

Answer

6.28 $$	imes$$ 10$$-$$3 N

Work, Energy and Power & Circular Motion

A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20 cm. If the block takes 40 s to complete one round, the normal force by the side walls of the groove is :

Choose the correct answer: