15 Pоints A smаll dаrt оf mаss 0.020 kg is launched at an angle оf 30° above the horizontal with an initial speed of 10 m/s. At the moment it reaches the highest point in its path and is moving horizontally, it collides with and sticks to a wooden block of mass 0.10 kg that is suspended at the end of a massless string. The center of mass of the block is 1.2 m below the pivot point of the string. The block and dart then swing up until the string makes an angle θ with the vertical, as shown above. Air resistance is negligible. Determine the speed of the dart just before it strikes the block. Calculate the horizontal distance d between the launching point of the dart and a point on the floor directly below the block. Calculate the speed of the block just after the dart strikes. Calculate the angle θ through which the dart and block on the string will rise before coming momentarily to rest.