Answer to Question #199804 in Physics for Anissa

Question

Two objects with masses of 6.00 kg and 4.00 kg are connected by a light string that passes over a frictionless pulley, as in the Figure. Determine a)the acceleration of each object, b)the tension in the string, and c)the distance each object will move in the first second of motion if both objects start from rest.

Answer 1

1)

$$a=\frac{M-m}{M+m}g\\a=\frac{6-4}{6+4}9.8=1.96\frac{m}{s^2}$$

2)

$$T=(6)(9.8-1.96)=47\ N$$

3)

$$h=0.5(1.96)(1)^2=0.98\ m$$