Home
Class 11
PHYSICS
Find the kinetic energy of a particle of...

Find the kinetic energy of a particle of mass `200 g` moving with velocity `3hat(i)-5hat(j)+4hat(k) m//s`.

Text Solution

Verified by Experts

The correct Answer is:
`5 J`
Speed `=|vec(v)|=sqrt(9+25+16)=5sqrt(2) m//s`
`K.E=1/2mv^(2)=1/2xx200xx10^(-3)xx50 J=5J`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN|Exercise Exersice-4[B]|14 Videos

  • MISCELLANEOUS

    ALLEN|Exercise EXERCISE-5(A)|15 Videos

  • MISCELLANEOUS

    ALLEN|Exercise DATA SUFFICIENCY QUESTIONS|3 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN|Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN|Exercise EXERCISE-IV|8 Videos

Similar Questions

Explore conceptually related problems

A bomb moving with velocity 40 hat(i)+50hat(j)+25hat(k) m/s explodes into pieces of mass ratio 1 : 4. If the small piece goes out with velocity 200hat(i)+70 hat(j)-15hat(k)m//s , find the velocity of larger piece after explosion.

A particle of mass 'm' moving with a velocity (3 hat(i)+2hat(j))m//s collides with stationary mass 'M' and finally 'm' moves with a velocity (-2hat(i)+hat(j))m//s if (m)/(M) = (1)/(13) the velocity of the M after collision is?

A particle of mass 'm' moving with a velocity of (4hat(i)-hat(j))m//s strikes a fixed wall and finally moves with a velocity of (3hat(i)+2hat(j))m//s . Find (a) the impulse received by the particle. (b) the coefficient of restitution between them in the collision.

(b) Two bodies of masses 10kg and 2 kg are moving with velocities 2hat(i)-7hat(j)+3hat(k) and -10hat(i)+35hat(j)-3hat(k)m//s respectively. Find the velocity of the centre of mass.

A particle of mass 2 kg is moving with velocity vec(v)_(0) = (2hat(i)-3hat(j))m//s in free space. Find its velocity 3s after a constant force vec(F)= (3hat(i) + 4hat(j))N starts acting on it.

A ball of mass '2m' moving with velocity u hat(i) collides with another ball of mass 'm' moving with velocity - 2 u hat(i) . After the collision, mass 2m moves with velocity (u)/(2) ( hat(i) - hat(j)) . Then the change in kinetic energy of the system ( both balls ) is

Find the altitude of a parallelopiped whose three conterminous edges are verctors A=hat(i)+hat(j)+hat(k), B=2hat(i)+4hat(j)-hat(k) and C=hat(i)+hat(j)+3hat(k) with A and B as the sides of the base of the parallelopiped.

Find the value of lamda , if the points with position vectors 3hat(i)- 2hat(j)- hat(k), 2hat(i) + 3hat(j)- 4hat(k), -hat(i) + hat(j) + 2hat(k), 4hat(i) + 5hat(j) + lamda hat(k) are coplanar.

A plane mirror is moving with velocity 4 (hat i) + 4 (hat j) + 8 (hat k) . A point object in front of the mirror moves with a velocity 3 (hat i) + 4 (hat j) + 5 (hat k) . Here, hat k is along the normal to the plane mirror and facing towards the object. The velocity of the image is

A plane mirror is moving with velocity 4 (hat i) + 4 (hat j) + 8 (hat k) . A point object in front of the mirror moves with a velocity 3 (hat i) + 4 (hat j) + 5 (hat k) . Here, hat k is along the normal to the plane mirror and facing towards the object. The velocity of the image is

ALLEN-MISCELLANEOUS-Exercise-04 [A]
  1. A ardius vector of point A relative to the origin varies with time t a...

    Text Solution

    |

  2. Answer the following : (i) A vector has magnitude & direction. Does ...

    Text Solution

    |

  3. A room has dimensions 3 m xx 4 m xx5 m. A fly starting at one cronet e...

    Text Solution

    |

  4. Vector vec(a) has components a(x) = 3, a(y) = 4. The components of a v...

    Text Solution

    |

  5. Find: (i) "north cross west" " " (ii) "down dot south" (iii) "we...

    Text Solution

    |

  6. The position vector of a particle of mass m= 6kg is given as vec(r)=[(...

    Text Solution

    |

  7. A plane body has perpendicular axes OX and OY marked on it and is acte...

    Text Solution

    |

  8. State with reasons, whether the following algebraic operations with sc...

    Text Solution

    |

  9. A car travels due east on a level road for 30 km. It then turns due no...

    Text Solution

    |

  10. Write the vector representation of the vectors A and B with respect to...

    Text Solution

    |

  11. Find the kinetic energy of a particle of mass 200 g moving with veloci...

    Text Solution

    |

  12. Acceleration of particle moving in straight line can be written as a=(...

    Text Solution

    |

  13. The position vector of an object moving in X-Z plane is vec(r)=v(0)tha...

    Text Solution

    |

  14. The position x of a particle at time t is given by x = (V(0))/(a) (1 -...

    Text Solution

    |

  15. The related equations are : Q=mc(T(2)-T(1)), l(1)=l(0)[1+alpha(T(2)-T(...

    Text Solution

    |

  16. A particle of mass m is in a uni-directional potential field where the...

    Text Solution

    |

  17. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  18. A projectile fired at an angle of 45^(@) travels a total distance R, c...

    Text Solution

    |

  19. In the formula , p = (nRT)/(V-b) e ^(a/(RTV)) find the dimensions of ...

    Text Solution

    |

  20. If instead of mass, length and time as fundamental quantities we choos...

    Text Solution

    |