AIEEE 2007 | Laws of Motion Question 133 | Physics

A block of mass $$m$$ is connected to another block of $$mass$$ $$M$$ by a spring (massless) of spring constant $$k.$$ The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force $$F$$ starts acting on the block of mass $$M$$ to pull it. Find the force of the block of mass $$m.$$

$${{MF} \over {\left( {m + M} \right)}}$$

$${{mF} \over M}$$

$${{\left( {M + m} \right)F} \over m}$$

$${{mF} \over {\left( {m + M} \right)}}$$

AIEEE 2005

MCQ (Single Correct Answer)

-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?

$$15\,\,\,\,m/{s^2}$$

$$3\,\,\,m/{s^2}$$

$$10\,\,\,m/{s^2}$$

$$5\,\,\,m/{s^2}$$

AIEEE 2005

MCQ (Single Correct Answer)

-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 $$\left[ {{\mu _k} = 0.5} \right]$$

$$1000$$ $$m$$

$$800$$ $$m$$

$$400$$ $$m$$

$$100$$ $$m$$

AIEEE 2005

MCQ (Single Correct Answer)

-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

$${\mu _k} = \sqrt {1 - {1 \over {{n^2}}}} $$

$${\mu _k} = 1 - {1 \over {{n^2}}}$$

$${\mu _k} = \sqrt {1 - {1 \over {{n^2}}}} $$

$${\mu _s} = 1 - {1 \over {{n^2}}}$$

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