 # Problem 1: (10 points): The projectile is shot from a cannon on th...

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Problem 1: (10 points): The projectile is shot from a cannon on the ground with an angle of inclination of 0 = 60°, from a partially enclosed space. to e The height of the ceiling is 20 m and it extends outward a g distance I = 12 m. (assume g = 10 m/s²) Find the following: Vi h hm 1. The maximum initial speed Vi of the projectile so that it clears the enclosure. (5 points) 2. The maximum height (hm) of the projectile. (2 points) d 3. Calculate the radius of curvature of the projectile at its peak point. (3 points) Problem 2: (10 points): t A boat travels around a circular path, p = 10 m. Initially it is traveling with a speed of 5 m/s and its speed increases at a rate of 2 m/s². Determine: 10 m n A 1. The magnitude of the boat's acceleration 4 seconds later (7 points). 2. How long does it take for the boat to come back to its initial position (3 points)? Problem 3: (10 points): Given: The 100 Kg mine car is hoisted up the incline. Assume g = 10 m/s2, and no friction between the car and the incline. (need to draw the datum line, and the correct directions; need free body diagram) Find tension in the cable: (1) When the motor pulls the cable with an acceleration of 3 m/s². (6 points) (2) When the motor pulls the cable with a constant speed. (4 points) P. M O 30° Problem 4: (10 points): Given: MA = 1 Kg, Block A is subject to a constant A force of 2 Newton during the whole process. MB = 2 Kg, VoA = 2 m/s to the right (initial velocity) F = 2N Mk = 0.1 (friction coefficient between block A and O the ground) Find: the velocity of block A when it moved 4 B meters to the right. (g = 10 m/s²). Need to draw free body diagram

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