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A body of mass (M) 10 kg is initially stationary on a 45° inclined plane as shown in figure. The coefficient of dynamic friction between the body and the plane is 0.5. The body slides down the plane and attains a velocity of 20 m/s. The distance travelled (in meter) by the body along the plane is ________.
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- 58.8 m.
- 56.8 m.
- 57.8 m.
- 58 m.
Correct Option: C
FBD of block
Net force = ma
mg sin 45 – μmg cos 45 = ma
a = 3.46 m/s²
⇒ V² – u² = 2as
⇒ S = | = | = 57.8 m. | ||
2a | 2 × 3.46 |