Question

A force of 5N produces an acceleration of 8 ms⁻² on a mass m1 and an acceleration of 24 ms⁻² on a mass m₂. What acceleration would the same force provide if both the masses are tied together? (Ans:6m/s²)

Answer 1

Give,
force=5N
acceleration,a1=8m/s2
mass=m1
f=ma
5=m1×8
m1=5/8

for second object,
f=5N
a=24m/s2
m=m2
f=ma
5=m2×24
m2=5/24

when they tied together,
f=5N
a=?
mass=m1+m2
=5/8+5/24
=15+5/24
=20/24
f=ma
5N=a×20/24
120=20a(cross multiply)
a=6m/s2
Answer