15-25. The balloon has a total mass of 400 kg incl the passengers and ballast. The balloon is rising at a com velocity of 18 km/h when h = 10 m. If the man drop 40-kg sand bag, determine the velocity of the balloon v the bag strikes the ground. Neglect air resistance, %3D D

The roller coaster car has a mass of 700 kg, including its passenger. If it starts from the top of the hill A with a speed v A = 3 m/s, determine the minimum height h of the hill crest so that the car travels around the inside loops without leaving the track. Neglect friction, the mass of the wheels, and the size of the car. What is the normal reaction on the car when the car is at B1. find the  Max g-force on passenger, bank angle2. the force required to slow down the motion and the time the force is applied must be determined to bring the coaster to rest.3. The maximum G-load  experienced by a person should be no more than 5 g

The ball with a mass of 5 kg is attached to the rod (with negligible mass), which rotates about O in the horizontal plane. A couple moment M = 0.5 t2 N-m is applied to the system, where t is in seconds. Determine the speed of the ball at the instant t = 10 s starting from rest.

The 1900-kg car has a velocity of 21 km/h up the 10-percent grade when the driver applies more power for 13 s to bring the car up to a speed of 64 km/h. Calculate the time average F of the total force tangent to the road exerted on the tires during the 13 s. Treat the car as a particle and neglect air resistance. 10 100 Answer: F = i kN

The forked rod is used to move the smooth 3 lb particle around the horizontal path in the shape of a limaçon, r=(2+cose) ft. If 0=(0.5t2) rad, where t is in seconds, determine the force which the rod exerts on the particle at the instant t=1 s. The fork and path contact the particle on only one side.

5. The 8-kg smooth collar has a speed of 5 m/s when it is at s = 0. Determine the maximum distance s it travels before it stops momentarily. The spring has an unstretched length of 2 m. -1.5 m- -3 m/s k = 100 N/m