answer:Given: - Mass of the racquetball, ( m = 43 g = 0.043 kg ) - Initial velocity, ( vec{v_i} = 25 m/s ) in the positive x-direction - Final velocity, ( vec{v_f} = -20 m/s ) in the negative x-direction - Collision duration, ( Delta t = 18 min = 1080 s ) (a) The change in momentum, ( Delta vec{p} ), can be calculated as: [ Delta vec{p} = m(vec{v_f} - vec{v_i}) ] Substituting the given values: [ Delta vec{p} = (0.043 kg) ((-20 m/s) hat{i} - (25 m/s) hat{i}) ] [ Delta vec{p} = 0.043 kg cdot (-45 m/s) hat{i} ] [ Delta vec{p} = -1.935 kg cdot m/s hat{i} ] [ boxed{Delta vec{p} = -1.94 kg cdot m/s hat{i}} ] (b) The average force exerted by the wall, ( vec{F} ), can be determined using impulse-momentum theorem: [ vec{F} = frac{Delta vec{p}}{Delta t} ] Plugging in the values: [ vec{F} = frac{-1.94 kg cdot m/s}{1080 s} hat{i} ] [ vec{F} = -1.796 times 10^{-3} N hat{i} ] [ boxed{vec{F} = -1.80 times 10^{-3} N hat{i}} ] The average force exerted by the wall on the racquetball is -1.80 x 10^(-3) Newtons in the negative x-direction.

answer:The siblings' discovery leads them to question their own values and beliefs. Marguerite leaves the convent, disillusioned with her faith. The brother becomes more cynical and distrustful, losing faith in the sanctity of marriage and family. Their relationship with each other is also strained, as they struggle to come to terms with their mother's past and their own conflicted feelings.

answer:The n = 4 shell of any given atom has a total of 16 orbitals.

answer:Since |G|=1331=11^3, by the First Sylow Theorem, there exists a Sylow 11-subgroup of G. By the Third Sylow Theorem, the number of such subgroups is 11k+1 and 11k+1|1331, thus, this is only possible for k=0. This means that the Sylow 11-subgroup is unique, and therefore there exist at least 10 elements of order 11 in G. However, by Cauchy's Theorem, there exists at least one element of order 11 in G. Therefore, there are at least 11 elements of order 11 in G.