2 a A freighter is 240 km due east of a harbor A current is

Last updated: 6/24/2023

2 a A freighter is 240 km due east of a harbor A current is flowing due south and the freighter captain wishes to set a course so that he can reach the harbor directly He sets the course at 22 6 north of west and sets a speed through the water of 13 kmh and the freighter eventually reaches the harbor in 20 hours Determine the velocity of the current 3 mark b Vector A has a magnitude of 8 00 units and makes an angle of 45 0 with the positive x axis Vector B also has a magnitude of 8 00 units and is directed along the negative x axis Find i the vector sum A B ii the vector difference A B c A 2 kilogram block initially hangs at rest at the end of two 1 meter strings of negligible mass as shown on the left diagram below A 0 003 kg bullet moving horizontally with a speed of 1000 meters per second strikes the block and becomes embedded in it After the collision the bullet block combination swings upward but does not rotate Please refer to Figure 2 1 1000 m s 0 003 kg 2 kg Before Collision 3 mark 3 mark 1 m Immediately After Collision Figure 2 1 i Calculate the speed v of the bullet block combination just after the collision 3 mark ii Calculate the ratio of the initial kinetic energy of the bullet to the kinetic energy of the bullet block combination immediately after the collision 4 mark iii Calculate the maximum vertical height above the initial rest position reached by the bullet block combination 4 mark