CBSE Class 11-science Answered
A bullet of mass 0.012 kg and horizontal speed 70 km/hr strikes a block of mass 0.4 kg and instantly comes to rest with respect to the block.The block is suspended from the ceiling by means of thin wires.Calculate the height to which the block rises.Also,estimate the amount t of heat produced in the block.
Asked by sudipt.kumar | 09 Oct, 2010, 11:46: AM
Expert Answer
Dear Student,
Let us consider the bullet and the block as one system. Applying law of conservation of momentum to the system:
MBullet uBullet + MBlock uBlock = MBullet vBullet + MBlock vBlock
(0.012)(70) + 0 = 0 + (0.4)vBlock
vBlock = 0.012*70 / 0.4 = 2.1 km/h = 0.58 m/s
this velocity makes the block rise to a hight where the velocity becomes zero.
Thus its kinetic energy gets converted to potential energy.
(MBlock vBlock2) / 2 = MBlock g h
h = vBlock2 / (2g) = (0.582) / 20 = 0.017 m
Amount of heat produced is equal to difference of energy of (bullet+block) before and after it hit the block.
Heat Produced = (MBullet uBullet2)/2 - (MBlock vBlock2)/2
= 2.19 J
Hope that solves the problem.
Regards
Team
TopperLearning
Answered by | 09 Oct, 2010, 07:10: PM
Concept Videos
CBSE 11-science - Physics
Asked by veenasangeeth2020 | 30 Jan, 2024, 09:56: AM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by abdulkhadirchajjo549 | 06 Dec, 2023, 06:55: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by anushkaverma.25707 | 24 Aug, 2023, 07:35: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by sakethrockzz007 | 04 Aug, 2023, 11:17: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by dhruvund8769 | 04 Feb, 2023, 11:41: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by gdeadshot85 | 12 Jan, 2023, 10:28: AM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by vaniimtiyaz630 | 12 May, 2022, 12:19: AM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by KRISHPATEL.soc | 22 Apr, 2022, 04:19: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by bandarirohinipriya | 08 Feb, 2022, 09:46: PM
ANSWERED BY EXPERT
CBSE 11-science - Physics
Asked by unnatibhise08 | 22 Dec, 2021, 08:46: AM
ANSWERED BY EXPERT