m1= 3 kg
a = 4.9 m/s^2
Apply newton's second law:
∑F = m*a
For m1:
m1g + T = m1 * a
g= gravity = 9.8 m/s^2
3 (9.8) + T = 3 (4.9 )
29.4 + T = 14.7
29.4 + 14 .7 = T
T = 44.1 N
For m2
m2g - T = m2(- a)
m2 (9.8) - 44.1 = m2 (-4.9)
9.8m2 + 4.9 m2 = 44.1
14.7 m2 = 44.1
m2= 44.1 /14.7
m2= 3 kg