a resultant force of 20 Newtons gives a body of mass M1 and acceleration of 1 M per second square and a body of mass M to an acceleration of 24 M per second square what acceleration will this force Cause when two masses combined together
a) 2ms^2. b) 4ms^2
c)6ms^2.
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Answered by
15
a resultant force of 20N gives a body of mass and acceleration of 1m/s²
from Newton's 2nd law, F = ma
so, 20 = × 1 m/s²
= 20kg......(1)
again, 20N acts on a body of mass M and acceleration 24m/s²
so, 20 = M × 24
M = 20/24 = 5/6 Kg
now, when two masses combine together
F = (M1 + M) a'
20 = (20 + 5/6) × a'
20 = (125)/6 × a'
4 = 25/6 × a'
a' = 24/25 m/s²
from Newton's 2nd law, F = ma
so, 20 = × 1 m/s²
= 20kg......(1)
again, 20N acts on a body of mass M and acceleration 24m/s²
so, 20 = M × 24
M = 20/24 = 5/6 Kg
now, when two masses combine together
F = (M1 + M) a'
20 = (20 + 5/6) × a'
20 = (125)/6 × a'
4 = 25/6 × a'
a' = 24/25 m/s²
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3
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