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#7-Solved-Examples-1

(Physics) > Laws of Motion

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Related Practice Questions :

A plastic box of mass 5 kg is found to accelerate up at the rate of g / 6, when placed deep inside the water. How much sand should be put inside the box so that it may accelerate down at the rate of g / 6?

1. 2kg

2. 3kg

3. 4kg

4. 5kg

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Tension on the string at point P is T. The graph for tension (T) versus x is shown in the figure. Then the string is:

1. massless

2. massfull

3. tension on every point on the string is same when the string is having finite mass 4

4. None of these

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A rod of length L and mass m is acted on by two unequal forces ${F}_{1}$ and ${F}_{2}\left(<{F}_{1}\right)$ as shown in the following figure

The tension in the rod at a distance y from the end A is given by :

1. ${F}_{1}\left(1-\frac{y}{L}\right)+{F}_{2}\left(\frac{y}{L}\right)$

2. ${F}_{2}\left(1-\frac{y}{L}\right)+{F}_{1}\left(\frac{y}{L}\right)$

3. $\left({F}_{1}-{F}_{2}\right)\frac{y}{L}$

4. None of the above

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Five persons A, B, C, D & E are pulling a cart of mass 100 kg on a smooth surface and the cart is moving with acceleration 3 $\mathrm{m}/{\mathrm{s}}^{2}$ in east direction. When person 'A' stops pulling, it moves with acceleration 1 $\mathrm{m}/{\mathrm{s}}^{2}$ in the west direction. When person 'B' stops pulling, it moves with acceleration 24 $\mathrm{m}/{\mathrm{s}}^{2}$ in the north direction. The magnitude of the acceleration of the cart when only A & B pull the cart keeping their directions same as the old directions are:

1. 26 $\mathrm{m}/{\mathrm{s}}^{2}$

2. $3\sqrt{71}\mathrm{m}/{\mathrm{s}}^{2}$

3. 25 $\mathrm{m}/{\mathrm{s}}^{2}$

4. 30 $\mathrm{m}/{\mathrm{s}}^{2}$

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A coin is dropped in a lift. It takes time *t*_{1} to reach the floor when lift is stationary. It takes time *t*_{2} when lift is moving up with constant acceleration. Then

(1) *t*_{1} > *t*_{2}

(2) *t*_{2} > *t*_{1}

(3) *t*_{1} = *t*_{2}

(4) *t*_{1} >> *t*_{2}

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