Home
Class 11
PHYSICS
Calculate the force required to stop a s...

Calculate the force required to stop a ship of mass `5xx10^(6)kg` moving at `40kmph` in a time interval of `10` minute. How far will it travel before coming to rest. (Neglect water resistance).

Text Solution

Verified by Experts

Given , `m=5xx10^(6)kg`
`v_(0)=40xx(5)/(18)=11.1ms^(-1)` `t=10xx60=600s` `v=0`, `s=?` `F=?`
Applying `v=v_(0)+at`
we get `0=(11.1)+a(600)`
`:.a=-(11.1)/(600)=-0.0185ms^(-2)`
Force required to stop the ship `=5xx10^(6)xx0.0185=9.25xx10^(4)N`
We know that,
`v^(2)=v_(0)^(2)+2as`
i.e. `0=(11.1)^(2)+2(-0.00185)S`
i.e. `s=(123.21)/(0.037)` `s=3330.0m`
i.e. `s=3.330km`.
Promotional Banner

Topper's Solved these Questions

  • LAWS OF MOTION

    SUBHASH PUBLICATION|Exercise Five mark question|4 Videos

  • KINETIC THEORY

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|19 Videos

  • MECHANICAL PROPERTIES OF FLUIDS

    SUBHASH PUBLICATION|Exercise NUMERICALS WITH SOLUTIONS|33 Videos

Similar Questions

Explore conceptually related problems

Calculate the de Broglie wavelength of an electron of mass 9.11 xx 10^(-31) kg and moving with a velocity of 1.0xx 10^(6) ms^(-1)

A ship of mass 3xx10^(7) kg at rest is pulled by a force of 5xx10^(4) N through a distance of 3m. Neglecting water resistance, the speed of ship is:

Calculate the wavelength of a particle of mass m = 6.62 xx 10^(-27) kg moving with kinetic energy 7.425 xx 10^(-13) J (h = 6.626 xx 10^(-34) kg m^2 sec^(-1)) .

Calculate the heat required to convert 3 kg of ice at -12 ^(@) C kept in a calorimeter to steam at 100^(@) C at atmospheric pressure. Given specific heat capacity of ice = 2100 J kg^(-1) K^(-1) , specific heat capacity of water = 4186 J kg^(-1) K^(-1) , latent heat of fusion of ice = 3.35 xx 10^(5) J kg^(-1) and latent heat of steam = 2.256 xx 10^(8) J kg^(-1) .

Calculate the wavelength associated with an electron (mass 9.1 xx 10^(-31) kg) moving with a velocity of 10^3m sec^(-1) (h=6.626 xx 10^(-34) kg m^2 sec^(-1)) .

A 1 kg block situated on a rough incline is connected to a spring of spring constant 100 Nm^(-1) as shown in Fig. 6.17. The block is released from rest with the spring in the unstreched position. The block moves 10 cm down the incline before coming to rest. Find the coefficient of friction between the block and the incline. Assume that the spring has a negligible mass and the pulley is frictionless.

The mass of ship is 2 xx 10^7 kg. On applying a force of 25xx10^5 N, it is displaced to 25 metres, the speed of ship is

Calculate the force of gravitation between the earth and the sun, given that the mass of the earth = 6 xx 10^(24) kg and of the sun = 2 xx 10^(30) kg. The average distance between the two is 1.5 xx 10^(11) m.

A particle moves along a straight line OX. At a time (in second) the distance x (in metre) of the particle from "O' is given by : x=40+12t-t^(3) How long particle travels before coming to rest ?