a force of 2n gives a mass M1 and acceleration of 5 metre per second square and a mass M2 and accelerated of 7 M per second square. what acceleration would be produced if both the masses are tied together?
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Answer:
Explanation:
We'll be using [ F = m × a ] , where F is Force , m is mass of body and a is Acceleration produced.
▶️ From the given question we can conclude
⏺️ F = 2 N
⏺️m 1 = ?
⏺️ a 2 = 7 m / s^2
⏺️ m 2 = ?
⏺️ Acceleration ( a 1 ) for m 1 = 5 m / s^2
✔️ Using above relation
=> F = m 1 × a 1
=> m 1 = F / a 1
=> [ m 1 = 2 / 5 Kg ]
▶️ Similarly we'll find mass 2 ( m 2 )
=> m 2 = F / a 2
=> [ m 2 = 2 / 7 kg ]
♠️ Now if we'll combined both mass [ M = m 1 + m 2 ]
=> M = m 1 + m 2
=> M = 2 / 5 + 2 / 7
=> M = ( 14 + 10 ) / 35
=> M = 24 / 35 kg
✔️ Now find Acceleration produced by 2 N force on an object of mass ( M = 24 / 35 kg )
=> F = M × a
=> a = F / M
=> a = 2 / ( 24 / 35 )
=> a = 2 × 35 / 24
=> [ a = 70 / 24 m / s^2 ] or 2.91 m / s^2
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