Answer:
M = 3.68 Kg
Explanation:
given,
mass on the floor, m = 3 Kg
mass raised to, s = 50 cm
time,t = 1 s
using equation of motion
[tex]s = u t + \dfrac{1}{2}at^2[/tex]
s is the displacement .
initial speed = 0
[tex]0.5=\dfrac{1}{2}\times a\times 1^2[/tex]
a = 1 m/s²
acceleration in terms of mass and gravity is given as
a = m g
[tex]a = \dfrac{M-m}{M+m}\times g[/tex]
M is the mass of the block hanging
[tex]1= \dfrac{M-3}{M+3}\times 9.8[/tex]
M + 3 = 9.8 M - 29.4
8.8 M = 32.4
M = 3.68 Kg
The other mass is equal to M = 3.68 Kg