Question

Can some one please help me on these questions. I will fail the class if i dont answer them.

1 . ) A bicycle has a momentum of 24 kg•m/s. What momentum would the bicycle have if it had …
a. … twice the mass and was moving at the same speed?
b. … the same mass and was moving with twice the speed?
c. … one-half the mass and was moving with twice the speed?
d. … the same mass and was moving with one-half the speed?
e. … three times the mass and was moving with one-half the speed?
f. … three times the mass and was moving with twice the speed?


2 .) Jerome plays middle linebacker for South's varsity football team. In a game against cross-town rival North, he delivered a hit to North's 82-kg running back, changing his eastward velocity of 5.6 m/s into a westward velocity of 2.5 m/s.
a. Determine the initial momentum of the running back.
b. Determine the final momentum of the running back.
c. Determine the momentum change of the running back.

Answer 1

1. p=24kgm/s

a. … twice the mass and was moving at the same speed

m¹=2m

v=v

p1=2mv= 2×24 = 48kgm/s

b. … the same mass and was moving with twice the speed?

m2=m, v2= 2v

p2=2mv=2×24 =48kgm/s

c. ....one-half the mass and was moving with twice the speed?

m3= 1/2 m v3= 2v

p3 = 1/2 m × 2v = mv = 24kgm/s

d. … the same mass and was moving with one-half the speed?

m4= m, v4= 1/2 v

p4 = 1/2 mv = 24/2 = 12kgm/s

e. … three times the mass and was moving with one-half the speed?

m5= 3m , v5= 1/2 v

p5 = 3/2 mv = 3/2 ×24 = 36kgm/s

f. … three times the mass and was moving with twice the speed?

p6 = 3×2 mv = 6×24= 144kgm/s