A force of 0.6 N acting on a particle increases it’s velocity from 5ms−1 to 6ms−1in 2s5ms−1 to 6ms−1in 2s . The mass of the particle is pls ans
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Refer to the Attachment.
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Given:
Initial velocity ( u ) = 5 m/s.
Final velocity ( v ) = 6 m/s.
Time taken ( t ) = 2 secs.
Force ( f ) = 0.6 N.
\underline{\bold{Solution :}}
Solution:
We will find the acceleration of the body, using first equation of motion ;
v = u + at
⇒ 6 = 5 + a × 2
⇒ 6 - 5 = 2a
⇒ 2a = 1
⇒ a = 1 / 2
⇒ a = 0.5 m/s².
Now,
Force = mass × acceleration
⇒ Mass = \mathsf {\frac{force}{acceleration} }
acceleration
force
⇒ Mass = \mathsf {\frac{0.6 N}{0.5 m / s{} ^{2} } }
0.5m/s
2
0.6N
⇒ Mass = 1. 2 kg.
Hence, the mass of the particle is 1.2 kg.
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