box be able to reach point B if the coefficient
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- A spring project uses a plastic ball. (a) With what speed does the projectile leave the barrel of the cannon? (b) At what point does the ball have maximum speed? (c) What is this maximum speed? When the ball is 5.30 grams. The spring is originally compressed by 5.00 cm and has a force constant of 8.00 N/m. When the ball is fired and moves 15.0cm through the horizontal barrel of the cannon and the barrel exerts a constant friction force of 0.0320N on the ball. (Choose the three best answers, one for each sub question)A 5.2 × 105 kg train is brought to a halt from a speed of 0.65 m/s in 0.45 m by a large spring bumper at the edge of its track. What is the force constant k of the spring in N/m?The fair is in town and one of the attractions is a bungee jump. They are trying to determine the safety restrictions to prevent an accident. The length of the cord is 6.3m. The maximum distance of the fall is H=31 m, and the spring constant is K=145N/m. Given this information, what is the largest mass of jumper this attraction can allow?
- A 5.8 × 105 kg train is brought to a stop from a speed of 0.85 m/s in 0.57 m by a large spring bumper at the edge of its track. What is the force constant k of the spring in N/m?A 5 kg block is placed near the top of a frictionless ramp, which makes an angle of 30o degrees to the horizontal. A distance d = 1.3 m away from the block is an unstretched spring with k = 3 × 103 N/m. The block slides down the ramp and compresses the spring. Find the maximum compression of the spring.A toy gun uses a spring to project a 5.9 g soft rubber sphere horizontally. The spring constant is 8.0 N/m, the barrel of the gun is 14 cm long, and a constant frictional force of 0.026 N exists between barrel and projectile. With what speed does the projectile leave the barrel if the spring was compressed 5.4 cm for this launch? (Assume the projectile is in contact with the barrel for the full 14 cm)
- A 120 g arrow is shot vertically from a bow whose effective spring constant is 430 N/m. If the bow is drawn 67.9 cm before releasing the arrow, to what height does the arrow rise?A 2.0 kg ball is launched by means of a vertically oriented spring with spring constant k = 16.0 N/cm. The spring is compressed 10.0 cm before the launch. (a) What is the maximum speed of the ball during this launch? (b) What is the maximum height the ball reaches? (Consider y = 0 to be the equilibrium height of the spring)A certain spring has a length of 47.6 cm when a 4.49 kg mass is hung from it and a length of 58.6 cm when a 8.23 kg mass is hung from it. What is the spring constant for this spring in N/m?
- A block with a mass m is initially compressing a spring by x1 on a horizontal floor with no friction. The spring has a spring constant k. The block is realeased from rest and travels a total distance of D including x1 and has a speed of v. what is the coefficent of kinetic friction between the floor and block?Truck suspensions often have "helper springs" that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.80 x 10° N/m, the helper spring constant is 3.80 x 10° N/m, and Y. = 0.500 m. Truck body -"Helper" spring Main leaf spring Axle (a) What is the compression of the leaf spring for a load of 5.10 x 10° N? 0 81 (b) How much work is done in compressing the springs? 1 34 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. J Need Help? Read ItA pendulum consisting of a particle of mass m supported by a light cord of length L is released from a position ho measured from the lowest position, as shown in the figure below. The cord hits a small peg P located at a distance L/2 vertically below the upper end of the pendulum. T ho m Ohz ho g How high will the mass swing afterwards? hint: consider the conservation of energy in the system. h = ho 12 h=2 ho L h