This problem has 9 parts, I have done all of them out but I need them checked. I tried to do out the diagrams and the graph but you may need to use you imagination. This is the last problem on my homework and I really could use your input/corrections.
Jimmie (m=100kg) has jet-powered ice skates and takes off across level ice. The skates have a thrust of 305N and the coefficient of friction between the blades and ice is 0.12. Unfortunately, Jimmie runs out of fuel in 10 sec.
a) Draw a free body diagram for Jimmie while he is accelerating.
^ (n force)
^
☐ > > (305N thrust)
v
v (w force)
b) What is his top speed?
Find a: (I'm not sure about this) Is the Fnet 350 or -350? Fnet/m (350/100=3.5)
Vi=0
Vf= ?
Delta t=10s
a= 3.5
Vf=0+(3.5)(10) Vf=35m/s
c) How far has he traveled in the first 10 sec?
Delta x=?
Vi=0
Vf=35
Delta t= 10
a=3.5
Delta x=Vi Delta t + 1/2(3.5)(10)^2 Delta x = 0(10) +1/2(3.5)(10)^2 Delta x=175m
d) Draw a free body diagram for Jimmie after he has run out of fuel.
^ (n force)
^
(fk) << ☐
v
v (w force)
e) After he runs out of fuel, what is Jimmie's deceleration?
a=-ukg 0.12 x 9.8= 1.176m/s^2
f) After he runs out of fuel, how much time passes before he comes to a stop?
Delta t=?
Vi=35
Vf=0
a=1.176
Vf=Vi+a(Delta t) Vi/a=Delta t 35/1.176= 29.7619sec
g) How long goes Jimmie travel without fuel before coming to a stop?
Delta x= Vi delta t = 1/2 a delta t^2 35(29.7619) + 1/2 (1.176)(29.7619)^2= 1562.5m
Jimmie (m=100kg) has jet-powered ice skates and takes off across level ice. The skates have a thrust of 305N and the coefficient of friction between the blades and ice is 0.12. Unfortunately, Jimmie runs out of fuel in 10 sec.
a) Draw a free body diagram for Jimmie while he is accelerating.
^ (n force)
^
☐ > > (305N thrust)
v
v (w force)
b) What is his top speed?
Find a: (I'm not sure about this) Is the Fnet 350 or -350? Fnet/m (350/100=3.5)
Vi=0
Vf= ?
Delta t=10s
a= 3.5
Vf=0+(3.5)(10) Vf=35m/s
c) How far has he traveled in the first 10 sec?
Delta x=?
Vi=0
Vf=35
Delta t= 10
a=3.5
Delta x=Vi Delta t + 1/2(3.5)(10)^2 Delta x = 0(10) +1/2(3.5)(10)^2 Delta x=175m
d) Draw a free body diagram for Jimmie after he has run out of fuel.
^ (n force)
^
(fk) << ☐
v
v (w force)
e) After he runs out of fuel, what is Jimmie's deceleration?
a=-ukg 0.12 x 9.8= 1.176m/s^2
f) After he runs out of fuel, how much time passes before he comes to a stop?
Delta t=?
Vi=35
Vf=0
a=1.176
Vf=Vi+a(Delta t) Vi/a=Delta t 35/1.176= 29.7619sec
g) How long goes Jimmie travel without fuel before coming to a stop?
Delta x= Vi delta t = 1/2 a delta t^2 35(29.7619) + 1/2 (1.176)(29.7619)^2= 1562.5m
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