The springs used in ballpoint pens are some of the weaker examples found in practical applications. It usually only takes about 0.005 kg of mass resting on such a spring to compress it by 0.001 m. Which of the following most closely describes the force constant of a typical ballpoint pen spring? 0.5 N/m 500 N/m 0.05 N/m 50 N/m 5.0 N/m

k=5.00 N/m Point 1 Spring relaxed x=0 Point 2 mi | V₁x=0 X1= 0.100 m /// 1 m=0.200 kg* X₂=0.080 m 2x immm 5. A cart with mass m=0.2 kg sits on a frictionless horizontal track. The cart is attached to a spring which is fixed to the end of the track. The spring has spring constant k = 5 N/m. The cart starts at x=0 cm, where the spring is at the rest length. You pull on the cart, stretching the spring 10 cm beyond the rest length (x = 10 cm), then release the cart from rest. The spring pulls the cart back towards the original equilibrium position. a.) What was the energy of the system just before the cart is released (Point 1 picture)? b.) What is the speed of the cart at x = 8 cm (Point 2 picture)? c.) What is the speed of the cart when it passes through the equilibrium point (x=0)?

Questions a,b and c

A 4.00 kg block is attached to a spring of force constant 500 N/m. The block is pulled 10.0 cm to the right of equilibrium and released from rest. Find the speed of the block as it passes through equilibrium if the coefficient of friction between block and surface is 0.250. Option1 Option2 Option3 Option4 Option5 0.542 m/s 0.675 m/s 0.765 m/s 0.871 m/s 0.986 m/s