A man standing on a frictionless ice throws a boomerang which returns to him. Asuuming that the boomerang can only move in a a circular path, choose the correct statement:
A)Since the momentum of the man-boomerang system is conserved, the man will ocme to rest holding the boomerang at the same location from which he threw it.
B)It is impossible for the man to throw the boomerang in this situation.
C)The total momentum of the man-boomerang systems is not conserved, so the man will be sliding backwards holding the boomerang after he catches it.
D) It is impossible for the man to throw the boomerang, but because he is standing in a frictionless ice when he throws it, the boomerang will not return to him.
प्रकाश विधुत समीकरण
C) The total momentum of the man-boomerang system is not conserved, so the man will be sliding backwards holding the boomerang after he catches it.
The correct statement is C) The total momentum of the man-boomerang system is not conserved, so the man will be sliding backwards holding the boomerang after he catches it.
Explanation:
Since the man is standing on frictionless ice, there is no external force acting on the system, which means momentum is conserved. However, when the man throws the boomerang, he applies a force on it and thus exerts an equal and opposite force on himself according to Newton's third law of motion. This force causes the man to move backward due to the absence of friction. After catching the boomerang, the man's backward motion slows down gradually until he comes to rest again. Therefore, the man will be sliding backward while holding the boomerang after catching it, making statement C the correct choice.
The correct statement is C) The total momentum of the man-boomerang system is not conserved, so the man will be sliding backward holding the boomerang after he catches it.
To explain why this is the correct statement, let's analyze the situation. The key concept to consider here is the conservation of momentum.
Momentum is defined as the product of an object's mass and its velocity. In a closed system, where no external forces are acting, the total momentum remains constant. However, in this scenario, the man and the boomerang are not a closed system because there are external forces acting on them.
When the man throws the boomerang, he exerts a force on it, giving it a certain amount of initial momentum. However, to conserve momentum, an equal and opposite force must act on the man to maintain the overall momentum of the system at zero.
Since the man is standing on frictionless ice, there is no external force acting on him to compensate for the initial momentum imparted to the boomerang. As a result, when the boomerang returns and the man catches it, he will be carrying the momentum in the opposite direction. This momentum will cause the man to slide backward on the ice.
Therefore, statement C is correct. The total momentum of the man-boomerang system is not conserved, and the man will be sliding backward holding the boomerang after he catches it.