The loss of kinetic energy during inelastic impact, is given by
(where m1 = Mass of the first body, m2 = Mass of the second body, u1 and u2 = Velocities of the first and second bodies respectively.)
A. $$\frac{{{{\text{m}}_1}{{\text{m}}_2}}}{{2\left( {{{\text{m}}_1} + {{\text{m}}_2}} \right)}}{\left( {{{\text{u}}_1} - {{\text{u}}_2}} \right)^2}$$
B. $$\frac{{2\left( {{{\text{m}}_1} + {{\text{m}}_2}} \right)}}{{{{\text{m}}_1}{{\text{m}}_2}}}{\left( {{{\text{u}}_1} - {{\text{u}}_2}} \right)^2}$$
C. $$\frac{{{{\text{m}}_1}{{\text{m}}_2}}}{{2\left( {{{\text{m}}_1} + {{\text{m}}_2}} \right)}}\left( {{\text{u}}_1^2 - {\text{u}}_2^2} \right)$$
D. $$\frac{{2\left( {{{\text{m}}_1} + {{\text{m}}_2}} \right)}}{{{{\text{m}}_1}{{\text{m}}_2}}}\left( {{\text{u}}_1^2 - {\text{u}}_2^2} \right)$$
Answer: Option A
This Question Belongs to Mechanical Engineering >> Engineering Mechanics
The resultant of two equal forces P making an angle $$\theta ,$$ is given by
A. $$2{\text{P}}\sin \frac{\theta }{2}$$
B. $$2{\text{P}}\cos \frac{\theta }{2}$$
C. $$2{\text{P}}\tan \frac{\theta }{2}$$
D. $$2{\text{P}}\cot \frac{\theta }{2}$$
A. Equal to
B. Less than
C. Greater than
D. None of these
If a number of forces are acting at a point, their resultant is given by
A. $${\left( {\sum {\text{V}} } \right)^2} + {\left( {\sum {\text{H}} } \right)^2}$$
B. $$\sqrt {{{\left( {\sum {\text{V}} } \right)}^2} + {{\left( {\sum {\text{H}} } \right)}^2}} $$
C. $${\left( {\sum {\text{V}} } \right)^2} + {\left( {\sum {\text{H}} } \right)^2} + 2\left( {\sum {\text{V}} } \right)\left( {\sum {\text{H}} } \right)$$
D. $$\sqrt {{{\left( {\sum {\text{V}} } \right)}^2} + {{\left( {\sum {\text{H}} } \right)}^2} + 2\left( {\sum {\text{V}} } \right)\left( {\sum {\text{H}} } \right)} $$
A. $${\text{a}} = \frac{\alpha }{{\text{r}}}$$
B. $${\text{a}} = \alpha {\text{r}}$$
C. $${\text{a}} = \frac{{\text{r}}}{\alpha }$$
D. None of these
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