The minimum work done in pulling up a block of wood weighing $$2$$ kN for a length of $$10$$ m on a smooth plane inclined at an angle of $$15^\circ$$ with the horizontal is (given: $$\mathrm{sin}15^\circ=0.2588)$$:
1. $$4.36$$ kJ
2. $$5.17$$ kJ
3. $$8.91$$ kJ
4. $$9.82$$ kJ

Subtopic:  Work done by constant force |
79%
From NCERT
PMT - 2003
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A person-1 stands on an elevator moving with an initial velocity of 'v' & upward acceleration 'a'. Another person-2 of the same mass m as person-1 is standing on the same elevator. The work done by the lift on the person-1 as observed by person-2 in time 't' is:

1.  $\mathrm{m}\left(\mathrm{g}\right)$ $+$ $\mathrm{a}\left(\mathrm{vt}\right)$ $+$ $\frac{1}{2}{\mathrm{at}}^{2}$

2.  $-\mathrm{mg}\left(\mathrm{vt}\right)$ $+$ $\frac{1}{2}{\mathrm{at}}^{2}$

3.  0

4.  $\mathrm{ma}\left(\mathrm{vt}\right)$ $+$ $\frac{1}{2}{\mathrm{at}}^{2}$

Subtopic:  Work done by constant force |
78%
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A block of mass m is placed in an elevator moving down with an acceleration $\frac{\mathrm{g}}{3}$. The work done by the normal reaction on the block as the elevator moves down through a height h is:

1.  $\frac{-2\mathrm{mgh}}{3}$

2.  $\frac{-\mathrm{mgh}}{3}$

3.  $\frac{2\mathrm{mgh}}{3}$

4.  $\frac{\mathrm{mgh}}{3}$

Subtopic:  Work done by constant force |
65%
From NCERT
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A particle moves from a point $\left(-2\stackrel{^}{i}+5\stackrel{^}{j}\right)$ to $\left(4\stackrel{^}{j}+3\stackrel{^}{k}\right)$ when a force of  $\left(4\stackrel{^}{i}+3\stackrel{^}{j}\right)$ N is applied. How much work has been done by the force?

 1 8 J 2 11 J 3 5 J 4 2 J
Subtopic:  Work done by constant force |
68%
From NCERT
NEET - 2016
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In the diagram shown, force F acts on the free end of the string. If the weight W moves up slowly by distance h, then work done on the weight by the string holding it will be: (Pulley and string are ideal)

1. Fh

2. 2Fh

3. $\frac{Fh}{2}$

4. 4Fh

Subtopic:  Work done by constant force |
67%
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The position of a particle (x) varies with time (t) as $$x = (t - 2)^2$$, where x is in meters and t is in seconds. Calculate the work done during t = 0 to t = 4 s if the mass of the particle is 100 g.
1.  0.4 J
2.  0.2 J
3.  0.8 J
4.  Zero

Subtopic:  Work done by constant force |
61%
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The position-time graph of a particle of mass 2 kg is shown in the figure. Total work done on the particle from t = 0 to t = 4s is:

 1 8 J 2 4 J 3 0 J 4 Can't be determined
Subtopic:  Work done by constant force |
57%
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A bicyclist comes to a skidding stop in $$10$$ m. During this process, the force on the bicycle due to the road is $$200$$ N is directly opposed to the motion. The work done by the cycle on the road is:

 1 $$+2000$$ J 2 $$-200$$ J 3 zero 4 $$-20000$$ J
Subtopic:  Work done by constant force |
58%
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A cord is used to vertically lower a block of mass m by a distance d at a constant downward acceleration of $\frac{\text{'}\mathrm{g}\text{'}}{4}$. The work done by the chord on the block will be:

1.  $\frac{3}{4}$mgd

2.  -$\frac{3}{4}$mgd

3.  $\frac{1}{4}$mgd

4.   -$\frac{1}{4}$mgd

Subtopic:  Work done by constant force |
68%
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Forces acting on a particle have magnitudes of 14, 7, and 7 N and act in the direction of vectors $$6\hat{i} + 2\hat{j} + 3\hat{k}$$$$3\hat{i} - 2\hat{j} + 6\hat{k}$$$$2\hat{i} - 3\hat{j} - 6\hat{k}$$ respectively. The forces remain constant while the particle is displaced from point A: (2, –1, –3) to B: (5, –1, 1). The coordinates are specified in meters. The work done equal to:

 1 75 J 2 55 J 3 85 J 4 65 J
Subtopic:  Work done by constant force |
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