A body of mass 1 kg falls freely from lens of 100 m on a platform of mass 3 kg which is mounted on a spring having spring constant K=1.25×10 |
|||

(a) |
4 cm |
(b) |
8 cm |

(c) |
80 cm |
(d) |
40 cm |

A body of mass 1 kg falls freely from lens of 100 m on a platform of mass 3 kg which is mounted on a spring having spring constant K=1.25×10 |
|||

(a) |
4 cm |
(b) |
8 cm |

(c) |
80 cm |
(d) |
40 cm |

1 Answer

127 votes

Velocity of 1 kg block just before it collides with 3kg block ==m/s

Applying momentum conversation just before and just after collision.

1×=4v⇒v= m/s

Initial compression of spring

1.25×10^{6}x_{0}=30⇒x_{0}≈0

applying work energy theorem,

w_{g }+^{ }w_{sp}=KE

⇒40×x+×1.25×10^{6}(0^{2}−x^{2})

=0−×4×v^{2}

Solving x≈ 4 cm

127 votes

127