Home
Class 12
PHYSICS
Two different masses are droped from sam...

Two different masses are droped from same heights. When these just strike the ground, the following is same :

A

kinetic energy

B

potential energy

C

linear momentum

D

acceleration

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze the physical quantities involved when two different masses are dropped from the same height. We will evaluate each option provided in the question to determine which quantity remains the same when the masses strike the ground. ### Step-by-Step Solution: 1. **Understanding the Scenario**: - Two different masses (let's call them m1 and m2) are dropped from the same height (h). - We need to analyze what happens to various physical quantities when they strike the ground. 2. **Kinetic Energy (KE)**: - The formula for kinetic energy is given by: \[ KE = \frac{1}{2} mv^2 \] - Since the masses are different (m1 and m2), the kinetic energy will also be different when they strike the ground, as it depends on both mass and velocity. 3. **Potential Energy (PE)**: - The potential energy at the height (h) is given by: \[ PE = mgh \] - Again, since the masses are different, the potential energy will differ for m1 and m2 when they are at height h. 4. **Linear Momentum (p)**: - The linear momentum is defined as: \[ p = mv \] - Since the masses are different, the linear momentum will also be different when they strike the ground. 5. **Acceleration (a)**: - The acceleration due to gravity (g) is constant for both masses when they are in free fall. It does not depend on the mass of the object. - Therefore, the acceleration of both masses will be the same when they strike the ground. 6. **Conclusion**: - From the analysis, we conclude that the only quantity that remains the same for both masses when they strike the ground is the acceleration due to gravity (g). ### Final Answer: The correct option is **D: Acceleration**. ---
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A rock of mass m is dropped to the ground from a height h . A second rock, with mass 2m , is dropped from the same height. When the second rock strikes the ground, what is its kinetic energy? (a) Twice that of the first rock, (b) four times that of the first rock, (c) same as that of the first rock, (d) half as much as that of the first rock, (e) impossible to determine.

Two balls are dropped to the ground from different heights. One ball is dropped 2s after the other, but both strike the ground at the same time 5s after the Ist is dropped. (a) What is the difference in the heights from which they were dropped ? (b) From what height was the first ball dropped?

Two bodies of different masses are dropped simultaneously from same height. If air friction acting on them is directly proportional to the square of their mass, then,

(A):A metal ball and a wooden ball of same radius are dropped from the same height in vaccum reach the ground same time. (R ):In vacuum all the bodies dropped from same height take same time to reach the round.

A stone is thrown horizontally and another is dropped freely from the same height . Which of the two will reach the ground early ? Explain ?

A wooden ball and an iron ball are dropped from the same height h in vaccum. If their radii are the same then the time taken by then to reach the ground are

Two bodies of masses M and m are allowed to fall from the same height. It the resistance for each be the same, then, will both the bodies reach the earth simultaneously ?

Assertion : Two bodies of unequal masses m_1 and m_2 are dropped from the same height. If the resistance offered by air to the motion of both bodies is the same, the bodies will reach the earth at the same time. Reason : For equal air resistance, acceleration of fall of masses m_1 and m_2 will be different.

A body dropped from a height h with initial velocity zero, strikes the ground with a velocity 3 m/s. Another body of same mass dropped from the same height h with an initial velocity of 4m/s. Find the final velocity of second mass with which it strikes the ground.

ALLEN-GRAVITATION-EXERCISE 1
  1. The imaginary angular velocity of the earth for which the effective ac...

    Text Solution

    |

  2. A particle falls on earth : (i) from infinity. (ii) from a height 10...

    Text Solution

    |

  3. Two different masses are droped from same heights. When these just str...

    Text Solution

    |

  4. By which curve will be variation of gravitational potential of a hollo...

    Text Solution

    |

  5. Gravitational potential difference between surface of a planet and a p...

    Text Solution

    |

  6. If M(e) is the mass of earth and M(m) is the mass of moon (M(e)=81 M(m...

    Text Solution

    |

  7. The gravitational potential energy is maximum at :

    Text Solution

    |

  8. A missile is launched with a velocity less than the escape velocity. T...

    Text Solution

    |

  9. A body attains a height equal to the radius of the earth. The velocity...

    Text Solution

    |

  10. The gravitational potential energy of a body at a distance r from the ...

    Text Solution

    |

  11. A particle falls towards the earth from inifinity. The velocity with w...

    Text Solution

    |

  12. A projectile of mass m is thrown vertically up with an initial velocit...

    Text Solution

    |

  13. Two small and heavy spheres, each of mass M, are placed a distance r a...

    Text Solution

    |

  14. An artificial satellite moving in a circular orbit around the earth h...

    Text Solution

    |

  15. A particle of mass m is moving in a horizontal circle of radius R unde...

    Text Solution

    |

  16. The potential energy of a body of mass 3 kg on the surface of a planet...

    Text Solution

    |

  17. Escape velocity of a body 1 kg mass on a planet is 100 ms^(-1). Gravit...

    Text Solution

    |

  18. The ratio of radii of two satellites is p and the ratio of their accel...

    Text Solution

    |

  19. The escape velocity from the earth is 11.2km//s. If a body is to be pr...

    Text Solution

    |

  20. The escape velocity for the earth is 11.2 km / sec . The mass of anoth...

    Text Solution

    |