A $50\mathrm{.}0-$kg crate is being pulled along a horizontal smooth surface. The pulling force is $10\mathrm{.}0$ N andis directed $20\mathrm{.}0$ above the horizontal. What is the magnitude of the acceleration of the crate?A$)0\mathrm{.}0728$ m$/$s$2$B$)0\mathrm{.}0684$ m$/$s$2$C$)0\mathrm{.}200$ m$/$s$2$D$)0\mathrm{.}376$ m$/$s$2$E$)0\mathrm{.}188$ m$/$s$250)$Components: Thexcomponent of vectorAis $8\mathrm{.}7$ units, and itsycomponent is $-6\mathrm{.}5$ units. Themagnitude ofAis closest toA$)11$ units.B$)12$ units.C$)8\mathrm{.}9$ units.D$)7\mathrm{.}9$ units.E$)9\mathrm{.}9$ units$\mathrm{.}51)$Projectile Motion: James and John dive from an overhang into the lake below. James simply dropsstraight down from the edge. John takes a running start and jumps with an initial horizontal velocityof $25$ m$/$s$.$ Compare the time it takes each to reach the lake below if there is no air resistance.A$)$James reaches the surface of the lake first.B$)$John reaches the surface of the lake first.C$)$James and John will reach the surface of the lake at the same time.D$)$Cannot be determined without knowing the mass of both James and John.E$)$Cannot be determined without knowing the weight of both James and John$\mathrm{.}52)$A $200-$N sled of slides down a frictionless hillside that rises at $37$ above the horizontal. What is themagnitude of the force that the surface of the hill exerts on the sled?A$)0$ NB$)120$ NC$)150$ ND$)160$ NE$)200$ N$7$