On a snow day from Fayetteville Public Schools many years ago, Kat and her frien

Question

On a snow day from Fayetteville Public Schools many years ago, Kat and her friend Armon (40 kg) decided to go sledding on their street, which had been closed. Assume the sled is very slick, and Armon barely needed to nudge off from rest when he began to slide down the 5 hill. Kat (25 kg) was skipping down the hill at 1 m/s. Armon caught up with her 5.0 m from where he started, scooped her smoothly onto the sled and continued down the hill. (a)[4 pts] What was Armon’s acceleration as he slid down the hill? (b)[6 pts] How much time did it take for him to catch Kat? (c)[5 pts] How fast was he going the instant before he caught Kat? (d)[4 pts] What was Armon’s momentum the instant before he caught Kat? (e)[5 pts] In order for total momentum to be constant for the collision of Armon and Kat, what assumptions must you make? Why? (f)[8 pts] What was Armon and Kat’s new velocity immediately after that collision?

Explanation / Answer

(a)assuming both started from same point

time taken by kat to go 5 m =5/1=5 sec

time taken by armon to catch kat= 5 sec

let his acceleration be x

by newton formula

S=ut+0.5at^2

5=0+0.5x(25)

x=0.4 m/s^2

(b)time taken=5 sec

(c)by newton formula

v=u+at

v=0.4*5=2 m/s

(d) momentum=mv=40*2=80 kgm/s

Related Questions

Navigate

• Browse (All)
• Browse O
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.