Question

A 1.7kg object is held 1.10m above a relaxed, massless vertical spring with a force constant of 280 N/m. The object is dropped onto the spring. (A) How far does a object compress the spring? (B) Repeat part A, but this time assume a constant air resistant force of 0.650 in acts on an object during its motion

Answer 1

solution (A) where using energy conservation mg (htx) = 4 R2² x is the total compression in the spring 17 kg x 9.8 m/s 2 x (3.1+x) (1ste) X 280 X x2 2 0.119 x=0.426 m (B Uneder air resistance force 0.650N graui tentional potential energy = mlJ-a yhts) 0.650 where a= m Ź kx² Now, again using energy conservation m (g-a) (htx) -) x ( 11 ta) = £x 280 xx? 0.114 x(14+) 1.7x/9.80 **( 9 0.65 1.7 =a2 x = 0.415 m