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Which of the following statements about mass is correct? a) 5 Kg b) Changes with gravity c) 10 Kg d) Depends on velocity

Physics

ScanSolve AI Answer

Answer

A

Step-by-step solution

8 steps
  1. Understand the concept of mass.

    Mass is a fundamental property of an object that measures its inertia, or the amount of matter it contains. It does not change with location or gravitational field.

  2. Apply the concept to the problem.

    If the mass of a ball is 5 kg on Earth, its mass will remain 5 kg on Jupiter, or any other celestial body.

    The correct option is (a).

    a) 5 Kg\boxed{\text{a) } 5 \text{ Kg}}
  3. Identify the given values.

    Mass of the object m=10m = 10 kg.
    Velocity of the object v=10v = 10 m/s.
    The object is moving with a uniform velocity.

  4. Determine the acceleration.

    Uniform velocity means that the velocity is constant, so there is no change in velocity. Therefore, the acceleration a=0a = 0 m/s2^2.

  5. Apply Newton's Second Law of Motion.

    The force acting on an object is given by F=maF = ma.

    F=(10 kg)(0 m/s2)F = (10 \text{ kg})(0 \text{ m/s}^2) F=0 NF = 0 \text{ N}

    The force acting on the object is 0 N.

    The correct option is (c).

    c) 0\boxed{\text{c) } 0}
  6. Recall the formula for kinetic energy.

    The kinetic energy (KEKE) of an object is given by the formula:

    KE=12mv2KE = \frac{1}{2}mv^2

    where mm is the mass and vv is the speed.

  7. Consider the initial kinetic energy.

    Let the initial speed be v1=vv_1 = v.
    The initial kinetic energy is KE1=12mv2KE_1 = \frac{1}{2}mv^2.

  8. Consider the new kinetic energy when the speed is doubled.

    The new speed is v2=2vv_2 = 2v.
    The new kinetic energy is KE2=12m(2v)2KE_2 = \frac{1}{2}m(2v)^2.

    KE2=12m(4v2)KE_2 = \frac{1}{2}m(4v^2) KE2=4(12mv2)KE_2 = 4 \left(\frac{1}{2}mv^2\right) KE2=4KE1KE_2 = 4 KE_1

    When the speed is doubled, the kinetic energy is quadrupled.

    The correct option is (b).

    b) quadrupled\boxed{\text{b) quadrupled}}
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