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A ball of relative density 0.8 falls int...

A ball of relative density 0.8 falls into water from a height of 2 m. find the depth to which the ball will sink (neglect viscous forces)

Text Solution

Verified by Experts

The correct Answer is:
8
Retardation in water, `a=("upthrust"-"weight")/("mass")`
`=(V(1)g-V(0.8)g)/(V(0.8))=g//4`
Now, `V_(2)^(2)=V_(1)^(2)-2(a)h_(0),0=2gh-2ah_(0)`
`h_(0)=(gh)/(a)=((g)(2))/(g//4)=8m`
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Knowledge Check

  • A ball of relative density 0.8 falls into water from a height of 2 m. The depth to which the ball will sink is (neglect viscous forces)

    A
    8 m
    B
    2 m
    C
    6 m
    D
    16 m

  • A rubber ball is dropped on the ground from a height of 1m. What is the height to which the ball will rebound, if the coefficient of restitution between the ball and the ground is 0.8?

    A
    0.5m
    B
    0.25n
    C
    0.64m
    D
    0.8m

  • A ball is dropped from a height of 10 m, as it falls,

    A
    its velocity increases and acceleration decreases.
    B
    its velocity decreases and acceleration increases.
    C
    its velocity increases and acceleration remains constant.
    D
    its velocity and acceleration remains constant.

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