Q12. A 2.5-kg collar travels down a smooth slope as shown. The spring has unstretched length of 8 m and spring constant k = 33 N/m, and it is always horizontal. If at s₁ = 13 m the collar has speed of 10 m/s, determine its speed when it gets to s2 = 6 m. Please pay attention: the numbers may change since they are randomized. Negative sign must be included if the work done is negative. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s². y GW $2 Your Answer: Answer www. $1 units 1 X

Q14. As shown in the image below, the 20-kg box is pulled up the inclined plane with a constant velocity of 4.7 m/s. If the coefficient of kinetic friction between the box and the inclined plane is µ = 0.1, determine the power of force F. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². F Your Answer: Answer 30° units

Q13. As shown in the image below, the force acting on the 23-kg box is F = (C.s) N, where constant C = 2 and s is displacement in m. If the box has initial velocity of 1.2 m/s when s = 0, determine the power of force Fwhen s = 2.7 m. The ground is smooth. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper Sl unit. S | s Your Answer: Answer units F

Q24. The buoyancy force on the 580-kg balloon is F = 6 kN, and the air force acting {C₁.ti-C₂. √t j N, when t is time in on the balloon is Fair seconds, constants C₁ = 24 and C₂ = 240. If the balloon starts from rest, determine its speed after 28 seconds. Neglect the size of the balloon but don't neglect its weight. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper SI unit. Take g = 9.81 m/s². Fa air Your Answer: Answer = F = 6 kN units

A truck travels up an incline that is defined by the function y = – 0.00475 · x² + 16 ft. The truck has a ft constant speed of 60 Hints: 1. Note the direction the truck is driving y y = f(x) di Values for the figure are given in the following table. Note the figure may not be to scale. Variable Value di 70 ft 70 ft. b. Determine the y-component of the truck's velocity, Vy/y, at x = 70 ft. a. Determine the x-component of the truck's velocity, V/x, at x =

Q15. As shown in the image below, the 17-kg crate is being hoisted by the motor. If at this instant shown the velocity of point P on the cable is vp = 2.6 m/s and the speed is increasing at 1.3 m/s², what is the power input supplied to the motor if its efficiency is e = 0.63? Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper Sl unit. Take g = 9.81 m/s². Vp Your Answer: P Answer D A units

|v| = A motor is lifting a crate with mass m = 17kg. The motor provides a force that can be described by the function F = 142√t N. If starting from rest, determine the magnitude of velocity of the crate at time t = 3.2s. m m S F O UBC Engineering