If $x$ $=$ $3$ $-4{t}^{2}$ $+$ ${t}^{3}$, then work done in the first 4s will be:
(Mass of the particle is 3 gram)
1.  384 mJ
2.  168 mJ
3.  192 mJ
4.  None of the above

Subtopic:  Work Energy Theorem |
53%
From NCERT
AIPMT - 1998
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The bob of a simple pendulum having length l, is displaced from the mean position to an angular position θ with respect to vertical. If it is released, then the velocity of the bob at the lowest position will be:

1. $\sqrt{2gl\left(1-\mathrm{cos}\theta \right)}$

2. $\sqrt{2gl\left(1+\mathrm{cos}}$ $\theta \right)$

3. $\sqrt{2gl}$ $\mathrm{cos}\theta$

4. $\sqrt{2gl}$

Subtopic:  Work Energy Theorem |
79%
From NCERT
AIPMT - 2000
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A child is sitting on a swing. Its minimum and maximum heights from the ground are $$0.75$$ m and $$2$$ m, respectively. Its maximum speed will be: (Take $$g=10$$ m/s2)
1. $$10$$ m/s
2. $$5$$ m/s
3. $$8$$ m/s
4. $$15$$ m/s

Subtopic:  Work Energy Theorem |
75%
From NCERT
AIPMT - 2001
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A stone is tied to a string of length 'l' is whirled in a vertical circle with the other end of the string as the centre. At a certain instant of time, the stone is at its lowest position and has a speed 'u'. The magnitude of the change in velocity as it reaches a position where the string is horizontal (g being acceleration due to gravity) is:

1. $\sqrt{{u}^{2}-g\ell }$

2. $u-\sqrt{{u}^{2}-2g\ell }$

3.

4. $\sqrt{2\left({\mathrm{u}}^{2}-\mathrm{g}\ell \right)}$

Subtopic:  Work Energy Theorem |
From NCERT
AIPMT - 2004
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A ball is thrown vertically upward. It has a speed of 10m/sec when it has reached one-half of its maximum height. How high does the ball rise? Take g = 10 m/s2:

1. 5m

2. 15m

3. 10 m

4. 20 m

Subtopic:  Work Energy Theorem |
70%
From NCERT
AIPMT - 2005
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