Home
Class 11
PHYSICS
A cart is moving horizontally along a st...

A cart is moving horizontally along a straight line with constant speed `30 ms^-1.` A particle is to be fired vertically upwards from the moving cart in such a way that it returns to the cart at the same point from where it was projected after the cart has moved `80 m.` At what speed (relative to the cart) must the projectile be fired? (Take `g = 10 ms^-2`)

A

`10 m//s`

B

`10sqrt(8) m//s`

C

`40/3 m//s`

D

`250 m//s`

Text Solution

Verified by Experts

The correct Answer is:
D

`(u cos theta+v_(0))T=80.......(i)`
`T=(2u sin theta)/g......(ii)`
Promotional Banner

Topper's Solved these Questions

  • RELATIVE MOTION

    CP SINGH|Exercise EXERCISE|33 Videos

  • NEWTONS LAWS OF MOTION

    CP SINGH|Exercise EXERCISES|84 Videos

  • ROTATIONAL MOTION

    CP SINGH|Exercise Exercise|172 Videos

Similar Questions

Explore conceptually related problems

A cart is moving horizontally along a straight line with constant speed 30 m/s. A projectile is to be fired from the moving cart in such a way that it will return to the cart after the cart has moved 120m. At what speed (relative to the cart, in m/s) must the projectile be fired ? (Take g=10m//s^2 )

A car is moving horizontally along a straight line with a unifrom velocity of 25 m s^-1 . A projectile is to be fired from this car in such a way that it will return to it after it has moved 100 m . The speed of the projection must be.

A cart moves with a constant speed along a horizontal circular path. From the cart, a particle is thrown up vertically with respect to the cart.

A cart moves with a constant speed along a horizontal circular path. From the cart, a particle is thrown up vertically with respect to the cart.

Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, vecp=mvecv . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10m//s . After travelling certain distance, a boy jumps from the cart with a speed of 2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. If, in the first case, the second boy jumps out of the cart in a direction perpendicular to the motion of cart as seen from ground, then the speed of

Momentum is the ability of imparting or tending to motion to other bodies. The total momentum of a system remains conserved if no external force is acting it. This is calculated by the formula, vecp=mvecv . Consider a situation where a cart carrying five boys is moving without friction due to inertia along a straight horizontal road, with a speed of 10m//s . After travelling certain distance, a boy jumps from the cart with a speed of 2m//s with respect to the cart in opposite direction to it. Then, second boy jumps with the same speed w.r.t. the cart, but in a perpendicular direction to the cart. The mass of the cart is 100 kg and mass of each boy is 20 kg. The velocity of the cart, just after the second boy has jumped out of it, is

A particle is fired horizontally form an inclined plane of inclination 30^@ with horizontal with speed 50 ms^-1 . If g=10 ms^-2 , the range measured along the incline is

A person is standing on an open car moving with a constant velocity of 30 m//s on a striaght upward direction and it returns to person after the car has moved 240 m . The speed and the angle of projection

A ball is thrown vertically upwards from the ground and a student gazing out of the window sees it moving upward past him at 10ms^-1. The window is at 15 m above the ground level. The velocity of ball 3 s after it was projected from the ground is [Take g= 10 ms^-2 ]

CP SINGH-RELATIVE MOTION-EXERCISE
  1. Four particles A, B, C and D are situated at the cornerst of a square ...

    Text Solution

    |

  2. Six particles situated at the corners of a regular hexagon of side a m...

    Text Solution

    |

  3. A particle A is at origin and particle B is at distance y=-d at t=0. T...

    Text Solution

    |

  4. A police jeep is chasing with, velocity of 45 km//h a thief in another...

    Text Solution

    |

  5. A cart is moving horizontally along a straight line with constant spee...

    Text Solution

    |

  6. A boat is moving with a velocity 3 hat i+ 4hat j with respect to groun...

    Text Solution

    |

  7. A boat crosses a river with a velocity of 8(km)/(h). If the resulting ...

    Text Solution

    |

  8. A man takes 3 h to cover a certain distance along the flow and takes ...

    Text Solution

    |

  9. A river 500m wide is flowing at a rate of 4 m//s. A boat is sailing at...

    Text Solution

    |

  10. In the previous problem, the distance travelled by boat along the flow...

    Text Solution

    |

  11. A boat having a speed of 5km//hr. in still water, crosses a river of w...

    Text Solution

    |

  12. A man crosses a 320m wide river perpendicular to the current in 4 min....

    Text Solution

    |

  13. A man can swim in still water ast a speed of 3 km/h. He wants to cross...

    Text Solution

    |

  14. A man can swim in still water ast a speed of 3 km/h. He wants to cross...

    Text Solution

    |

  15. A man can swim at a speed of 3 km h^-1 in still water. He wants to cro...

    Text Solution

    |

  16. In the previous problem, How far from the point directly opposite to t...

    Text Solution

    |

  17. A person aiming to reach the exactly opposite point on the bank of a s...

    Text Solution

    |

  18. A river is flowing from west to east with a speed of 5 m//min. A man c...

    Text Solution

    |

  19. A river is flowing from east to west at a speed of 5(m)/(min). A man o...

    Text Solution

    |

  20. A man can swim with velocity v relative to water. He has to cross a ri...

    Text Solution

    |