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Byju's Answer

Standard XII

Physics

Conservative and Non Conservative Forces

A smooth trac...

Question

A smooth track in the form of a quarter circle of radius $6 m$ lies in the vertical plane. A particle moves from $P_{1}$ to $P_{2}$ under the action of forces ${\to F}_{1}, {\to F}_{2}$ and ${\to F}_{3}$ . Force ${\to F}_{1}$ is always toward $P_{2}$ and is always $20 N$ in magnitude. Force ${\to F}_{2}$ always acts horizontally and is always $30 N$ in magnitude. Force ${\to F}_{3}$ always acts tangentially to the track and is of magnitude $15 N$ . Select the correct alternative(s)

work done by

{\to F}_{1}

120 J

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work done by

{\to F}_{2}

180 J

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work done by

{\to F}_{3}

is 45

π

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{\to F}_{1}

is conservative in nature

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Solution

The correct options are
B work done by ${\to F}_{2}$ is $180 J$
C work done by ${\to F}_{3}$ is 45 $π$
D ${\to F}_{1}$ is conservative in nature

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Similar questions

Q. A smooth track in the form of a quarter circle of radius

6 m

lies in a vertical plane. A particle moves from

P_{1}

P_{2}

under the forces

{\to F}_{1}, {\to F}_{2}

and

{\to F}_{3} \cdot

Force

{\to F}_{1}

is always always towards

P_{2}

and is always

20 N

in magnitude force

F_{2}

always acts tangentiallyand is always

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{\to F}_{3}

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. Select the correct alternative(s):

Q. A smooth track in the form of a quarter-circle of radius 6 m lies in the vertical plane. A ring of weight 4 N moves from

P_{1} a n d P_{2}

under the action of forces

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and

F_{3} .

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F_{1}

is always towards.

P_{2}

and is always 20 N in magnitude; force

{\to F}_{2}

always acts horizontally and is always 30 N in magnitude; force

{\to F}_{3}

always acts tangentially to the track and is of magnitude (15-10s) N, where s is in metre. If the particle has speed 4 m/s at

P_{1},

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P_{2},

Q. The resultant of forces

{\to F}_{1} = 3 \to i - 4 \to j + 2 \to k, {\to F}_{2} = 2 \to i + 3 \to j - \to k, {\to F}_{3} = 2 \to i + 4 \to j - 5 \to k

is:

Q. Two forces

{\to F}_{1} = 500 N

due east and

{\to F}_{2} = 250 N

due north have their common initial point.

{\to F}_{2} - {\to F}_{1}

Q. A

7 k g

object is subjected two forces (in Newton)

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and

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The correct options are B work done by →F2 is 180J C work done by →F3 is 45 π D →F1 is conservative in nature

The correct options are
B work done by ${\to F}_{2}$ is $180 J$
C work done by ${\to F}_{3}$ is 45 $π$
D ${\to F}_{1}$ is conservative in nature