An object with a mass m = 250 g is on a plane inclined at 30º above the horizontal and is attached by a string to a mass m = 150 g. there is no friction and mass m hangs freely and is initially at rest. when mass m has descended a distance h = 10 cm, its speed will be?

0.495 m/s

Explanation:

= tension force in the string connecting the two objects

= Mass of the object on inclined plane = 250 g = 0.250 kg

= Mass of the hanging object = 150 g = 0.150 kg

= acceleration of each object

From the force diagram, force equation for the motion of the object on the inclined plane is given as

From the force diagram, force equation for the motion of the hanging object on the inclined plane is given as

Using the above two equations

= height dropped by the hanging object = 10 cm = 0.10 m

= Speed gained by the object

Speed gained by the object can be given as

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle