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Question

Question: Two masses of 4 kg and 5 kg are connected by a string passing through a frictionless pulley and are ...

Two masses of 4 kg and 5 kg are connected by a string passing through a frictionless pulley and are kept on a frictionless table as shown in the figure. The acceleration of 5 kg mass is

A

49m/s249 m / s ^ { 2 }

B

5.44 m/s25.44 \mathrm {~m} / \mathrm { s } ^ { 2 }

C

D

2.72 m/s22.72 \mathrm {~m} / \mathrm { s } ^ { 2 }

Answer

5.44 m/s25.44 \mathrm {~m} / \mathrm { s } ^ { 2 }

Explanation

Solution

a=m2m1+m2×g=54+5×9.8=499=5.44 m/s2a = \frac { m _ { 2 } } { m _ { 1 } + m _ { 2 } } \times g = \frac { 5 } { 4 + 5 } \times 9.8 = \frac { 49 } { 9 } = 5.44 \mathrm {~m} / \mathrm { s } ^ { 2 }