9. [-12 Points] SERPSE10 B.3.0P.007. DIG Submissions Used A box is given a push across a horizontal surface. The box has a mass m, the push girls it an initial speed of vi, and the ooefcient of kinetic friction between the box and the surface is pk. (3) Use energy considerations to nd an expression for the distanoe the box moves before it stops. (Use any variable or symbol stated above along with the following as neoessary: g.) d: (b) what If? If the initial speed of the box is increased by a factor of 2, determine an expression for the new distance dnew the box slides in terms of the old distance d. | Id Need Help? _' 1D. [-12 Points] DETAILS SERPSE1O 8.3.0P.008. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A block of mass m : 2.00 kg is attached to a spring of force constant k : 415 Mm as shown in the gure below. The block is pulled to a position xi = 5.20 cm to the right of equilibrium and released from rest. _[__ x=li x=x, (D (a) Find the speed the block has as It passes through equilibrium if the horizontal surface Is frictionless. m/s (b) Find the speed the block has as It passes through equilibrium (for the first time) if the coefficient of friction between block and surface is '\"k = 0.350. m/s Need Help? 11. [-5 Points] DETAILS SERPSE'IO B.3.P.007.MI. 0/6 Submissions Used MY NOTES ASK YOUR TEACHER A crate of mass 9.8 kg is pulled up a rough incline with an initial speed of 1.52 m/s. The pulling force is 98 N parallel to the incliner which makes an angle of 20.3\" with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.95 m. (a) How much work is done by the gravitational force on the crate? J (b) Determine the increase in internal energy of the crateincline system owing to friction. J (c) How much work is done by the 98-N force on the crate? J (c!) What is the change in kinetic energy of the crate? J (e) What is the speed of the crate after being pulled 4.96 m? mfs Need Help