TS EAMCET · Physics · Work Power Energy
If the kinetic energy of a body moving with a velocity of \((2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}}-4 \hat{\mathrm{k}}) \mathrm{ms}^{-1}\) is 87 J, then the mass of the body is
- A 3 kg
- B 12 kg
- C 9 kg
- D 6 kg
Answer & Solution
Correct Answer
(D) 6 kg
Step-by-step Solution
Detailed explanation
\(v^2 = (2)^2 + (3)^2 + (-4)^2 = 4 + 9 + 16 = 29 \mathrm{m^2s^{-2}}\) \(KE = \frac{1}{2}mv^2\) \(87 = \frac{1}{2}m(29)\) \(m = \frac{2 \times 87}{29} = 6 \mathrm{kg}\)
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