Question

Two masses, mass A (1.4 kg) and B (3.7 kg) are hung on either side of a pulley. The masses each have an initial speed of 1 m/s, with mass B moving up. How high, in m, does mass B move after being released at this initial speed?

Answer 1

For bloc A -

T- 1.4 g = 1.4 a ........ (i) where T= tension , a= acceleration

For block B -

3.7 g - T = 3.7 a ................(ii)

add equation i & ii

2.3 g = 5.1 a

2.3 *9.8 = 5.1 a

a = 22.54/5.1

a = 4.42 m/s2

By using formula Vf2 = Vi2 + 2ah where final velocity   Vf = 0

0 = 12 - 2*4.42h inetial velocity Vi = 1m/s

8.84 h = 1   accelaretion a= -4.42 m/s2

h= 1/8.84 hight h =?

h = 0.113 m ...............Ans