61.When a 3.0-kg block is pushed against a massless spring of force constant constant 4.5×10' N/m, the spring is compressed 8.0 cm. The block is released, and it slides 2.0 m (from the point at which it is released) across a horizontal surface before friction stops it. What is the coefficient of kinetic friction between the block and the surface?

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4. Suppose a block of mass m slides over a surface with kinetic friction coef- ficient towards a spring with spring constant k. The block reaches the spring with spring with speed vo. (a) How far is the spring compressed at maximum compression? Give your answer in terms of m, k, lk, and vo. (b) What is an expression for the maximum value that v。 could be in order for the spring to remain maximally compressed, no matter what material the block and surface are? Give your answer in terms of m, k, pk. Hint: the coefficient of static friction is always greater than the coefficient of kinetic friction.

4. A 70 Kg athlete leaps straight up into the air from a trampoline with an initial speed of 7.0 m/s. Take y = 0 to be the position the athlete leaves the trampoline and ignore air resistance. how shoqes di nwob edhW (1 912 a. What is the maximum height the athlete reaches? Step 1) Draw a picture and list the value of all variables at the athlete's starting position and ending position. .£q912 ni nolicups or otni gulą of been woy z9ulev ri telual 10 11J (S 9912 Step 2) Is energy conserved? Yes = write the conservation of energy equation. No write the equation for non- conserved work. 102 (E 9912 nobil yd snob how s Step 3) Plug in values to the equation from step 2 and solve for maximum height. srij 11 m 0.00 to trigisil s of brucny ont moit siqaq to llut 101 Serler abin Toravste srit gnol wor 1010 smit tot svioz uoy tel lliw tens potten b. Solve this problem with kinematic equations and confirm the answers are the same. 0.000,21 A (8 21 (1 q912 Aitnsbl (S q912 smils sris tol svio2 (8…