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A 500 kg boat is 9 m long and is floatin...

A 500 kg boat is 9 m long and is floating without motion on still water. A man of mass 100 kg is at one end and if he runs to the other end of the boat and stops, the displacement of the boat is

A

1.5 m in the direction of displacement the man

B

0.755 m in the direction of displacement the man

C

1.5 m in the direction opposite to the displacement the man

D

0.75 m in the direction opposite to the displacement the man

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • A boat of length 10m and mass 450kg is floating without motion in still water. A man of mass 50kg standing at one end of it walks to the other end of it and stops. The magnitude of the displacement of the boat in metres relative to ground is

    A
    (a) zero
    B
    (b) `1m`
    C
    (c) `2m`
    D
    (d) `5m`

  • Which of the following statements are true ? (i) A uniform wooden plank of mass 150 kg and length 8 m is floating on still water with a man of 50 kg at one end of it. The man walks to the other end of the plank and stops. The distance covered by the plank is 2 m . (ii) A kid of mass 15 kg is sitting in a boat of mass 45 kg in a lake. The distance of kid from the bank of lake is 12 m . Now the body moves inside the boat at a distance 4m towards the bank and stops. The distance of the kid from the bank (there is no friction between the water and the boat ) is 11 m . (iii) Two persons of masses 40 kg and 60 kg are sitting at the midpoint of a 12 -m - long boat (140 kg) standing still in water. Now they move to opposite ends of the boat. Neglecting the friction between boat and water, the distance traveled by the boat in water is 50 cm . (iv) In a gravity free space , a man of mass m standing at a height h above the floor, throws a ball of mass m_(0) straight down with a speed v_(0) . When the ball reaches the floor, the distance of the man above the floor is (1 + (m_(0))/(m))h .

    A
    `(i),(ii)`
    B
    (i) ,(iii) ,(iv)`
    C
    `(ii) ,(iii) ,(iv)`
    D
    all of the above

  • A uniform wooden plank of mass 150 kg and length 8 m is floating on still water with a man of 50 kg at one end of it . The man walks to the other end of the plank and stops. Than the distance covered by the plank is

    A
    1 m
    B
    4 m
    C
    2 m
    D
    Zero

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