1
AIEEE 2005
+4
-1
A smooth block is released at rest on a $${45^ \circ }$$ incline and then slides a distance $$'d'$$. The time taken to slide is $$'n'$$ times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
A
$${\mu _k} = \sqrt {1 - {1 \over {{n^2}}}}$$
B
$${\mu _k} = 1 - {1 \over {{n^2}}}$$
C
$${\mu _k} = \sqrt {1 - {1 \over {{n^2}}}}$$
D
$${\mu _s} = 1 - {1 \over {{n^2}}}$$
2
AIEEE 2005
+4
-1
A particle of mass 0.3 kg subjected to a force $$F=-kx$$ with $$k=15$$ $$N/m$$. What will be its initial acceleration if it is released from a point 20 cm away from the origin?
A
$$15\,\,\,\,m/{s^2}$$
B
$$3\,\,\,m/{s^2}$$
C
$$10\,\,\,m/{s^2}$$
D
$$5\,\,\,m/{s^2}$$
3
AIEEE 2005
+4
-1
Consider a car moving on a straight road with a speed of $$100$$ $$m/s$$. The distance at which car can be stopped is $$\left[ {{\mu _k} = 0.5} \right]$$
A
$$1000$$ $$m$$
B
$$800$$ $$m$$
C
$$400$$ $$m$$
D
$$100$$ $$m$$
4
AIEEE 2005
+4
-1
A block is kept on a frictionless inclined surface with angle of inclination $$'\,\alpha \,'.$$ The incline is given an acceleration $$a$$ to keep the block stationary. Then $$a$$ is equal to
A
$$g$$ $$cosec$$ $$\alpha$$
B
$$g/tan$$ $$\alpha$$
C
$$g$$ $$tan$$ $$\alpha$$
D
$$g$$
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