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Question

Physics Question on Work-energy theorem

A bullet of 5 g is fired with a velocity of 800 m/s. The velocity of bullet becomes 200 m/s when it pierces a wooden block 2 m thick. What is the average resistance offered by the wooden block?

A

8.5 kN

B

7.5 kN

C

6.5 kN

D

30 kN

Answer

7.5 kN

Explanation

Solution

From work-energy theorem Work done by resistance of block = change in KE
Fx=12m(v2u2){{F}_{x}}=\frac{1}{2}m({{v}^{2}}-{{u}^{2}})
F=0.05×[(800)2(200)2]2×2F=\frac{0.05\times [{{(800)}^{2}}-{{(200)}^{2}}]}{2\times 2}
F=7500NF=7500N
F=7.5kNF=7.5kN