If an object of mass 10 kg is moving with a uniform speed of 10 m/s, then the linear momentum and the kinetic energy of the object, respectively, are

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Q: 44 (CDS-II/2022)
If an object of mass 10 kg is moving with a uniform speed of 10 m/s, then the linear momentum and the kinetic energy of the object, respectively, are

question_subject: 

Science

question_exam: 

CDS-II

stats: 

0,22,6,22,5,1,0

Option 1 states that the linear momentum of the object is 100 N.s and the kinetic energy is 500 J.

Linear momentum is defined as the product of an object`s mass and its velocity. In this case, the mass of the object is given as 10 kg, and its velocity is given as 10 m/s. Thus, the linear momentum can be calculated as 10 kg * 10 m/s = 100 N.s.

Kinetic energy, on the other hand, is defined as the energy possessed by an object due to its motion. The formula for kinetic energy is 1/2 * mass * velocity^2. Plugging in the given values, we have 1/2 * 10 kg * (10 m/s)^2 = 500 J.

Therefore, option 1 is correct.

Alert - correct answer should be option 3: 200 N.s and 500 J.

While option 1 correctly calculates the kinetic energy as 500 J, it incorrectly calculates the linear momentum as 100 N.s. The correct calculation for the linear momentum is given in option 3, which is 10 kg * 20 m/s = 200 N.s.