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A cart is moving along x direction with a velocity of 4m/s. A person on the cart throws a stone with a velocity of 6m/s relative to himself. In the frame of reference of the cart the stone is thrown in the y-z plane making an angle of 30 o with the vertical z-axis. At the highest point of its trajectory the stone hits an object of equal mass hung vertically from the branch of a tree by means of a string of length L. A completely inelastic collission occurs in which the stone gets embedded in the object. Determine: (1) The speed of the combined mass immediately after collission with respect to an observer on the ground. (2) The length L of the string such that the tension in the string becomes zero when the string becmes horizontal during the subsiquent motion of the combined mass.

A cart is moving along x direction with a velocity of 4m/s. A person on the cart throws a stone with a velocity of 6m/s relative to himself. In the frame of reference of the cart the stone is thrown in the y-z plane making an angle of 30o with the vertical z-axis. At the highest point of its trajectory the stone hits an object of equal mass hung vertically from the branch of a tree by means of a string of length L. A completely inelastic collission occurs in which the stone gets embedded in the object. Determine:
 
(1) The speed of the combined mass immediately after collission with respect to an observer on the ground.
 
(2) The length L of the string such that the tension in the string becomes zero when the string becmes horizontal during the subsiquent motion of the combined mass.

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1 Answers

Sher Mohammad IIT Delhi
askIITians Faculty 174 Points
9 years ago
The speed of the combined mass immediately after collission with respect to an observer on the ground is 2.5 m
The length L of the string such that the tension in the string becomes zero when the string becmes horizontal during the subsiquent motion of the combined mass is .319m

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