Home Physics Newton's Laws of Motion Mix A body is moving down a long-inclined plane …
Physics Newton's Laws of Motion Mix MCQ (Single Correct)

A body is moving down a long-inclined plane of slope 37 0 . The coefficient of friction between the body and plane varies as µ= 0.3x, where x is the distance travelled down the plane. The body will have maximum speed - (sin 37 0 = and g = 10 m/s 2 )

A
At x = 1.16 m
B
At x = 2 m
C
At bottom of plane
D
At x = 2.5 m

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Text Solution

Verified by Experts
The correct answer is:
D

After some time, friction becomes more than mg sinθ, then body will retard. Thus speed is maximum when, total force or acc. is zero.

Mg sin θ – μ mg cos θ = 0

⇒ μ = tan θ ⇒ 0.3x = ¾

⇒ x = 2.5m

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