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ICSE Class 10 Physics 2019 Solved Paper

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Question : 3
Total: 74
Two bodies A and B have masses in the ratio 5:1 and their kinetic energies are in the ratio 125:9. Find the ratio of their velocities.
Solution:  
Given: ‌
mA
mB
=‌
5
1
 and ‌
KA
KB
=‌
125
1

We know, ‌‌K=‌
1
2
mV2
‌⇒V‌=√‌
2K
m

‌∴‌‌
VA
VB
‌=√‌
KA
KB
×‌
mB
mA

‌⇒‌
VA
VB
‌=√‌
125
9
×‌
1
5

⇒‌‌
VA
VB
‌=√‌
25
9
=‌
5
3

‌∴‌VA:VB‌=5:3
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