1. A toy rifle contains a spring whose force constant is 300.0 N/m. When it is cocked, the spring is compressed 0.05 m by a mass 0.05 kg. Calculate the maximum height that the mass will attain above its initial level. Ignore the effects of air resistance. [7.65 x 10'' m] Initial level before firing 2. A spring-loaded toy gun contains a spring whose force constant is 4.0 x 10 N/m. When the gun is loaded, the spring is compressed 5.0 x 102 m. The gun fires a 1.0 x 102 kg mass vertically upwards. Ignoring friction and air resistance, calculate: a) the maximum speed of the mass b) the maximum height the mass reaches relative to its compressed position. [a) 9.95 m/s, b) 5.10m] 3. A 2.0 kg mass is pushed against a spring and compresses it a distance of 0.50 m. The spring constant is 104 N/m and the frictional force between the mass and the horizontal surface on which it lies is constant and its magnitude is 8.0 N. When the mass is released, calculate the speed with which it will leave the spring. [3.0 m/s] 000000000 -0.900 4. A mass of 6.0 kg moving east on a horizontal surface, strikes a spring as shown in the diagram. The frictional force between the mass and the surface is 1.5 x 10' N [W]. 6.0 kg The maximum compression of the spring is 2.0 x 10 m and the spring constant is 4.5 x 102 N/m. Find the velocity of the mass just before it strikes the spring. [2.0 m/s [E]] 0000004 6. A spring having a force constant of 520 N/m is placed on a plane inclined at 67 to the horizontal. The spring is compressed 0.40 m and a 2.0 kg mass is placed on it. The magnitude of the frictional force between the mass and the plane is 4.0 N. Find the speed of the mass after it moves 1.3 m up the plane. [3.6 m/s]