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Lolagoeslala
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Homework Statement
A dynamics cart 1 ahs a mass of 1.8 kg and is moving with a velocity of 4.0 m/s
along a frictionless track. Dynamics cart 2 has a mass of 2.2 kg and is moving at 6.0 m/s
. The carts collide in a head-on elastic collision cushioned by a spring with spring constant k = 8.0 x 104 N/m.
Determine the compression of the spring in cm, during the collision when cart 2 is moving at 4.0m/s
and
Calculate the maximum compression of the spring in cm
so the givens are these:
m1 = 1.8 kg
m2 = 2.2 kg
v1=4 m/s
v2 = 6 m/s
K = 80000N/ma)
Ek = 1/2m2v2`
Ek = 1/2(2.2kg)(4m/s
Determine the compression of the spring in cm, during the collision when cart 2 is moving at 4.0m/s
and
Calculate the maximum compression of the spring in cm
The Attempt at a Solution
so the givens are these:
m1 = 1.8 kg
m2 = 2.2 kg
v1=4 m/s
v2 = 6 m/s
K = 80000N/ma)
Ek = 1/2m2v2`
Ek = 1/2(2.2kg)(4m/s
)^2
Ek = 17.6 J
17.6 J = 1/2kx^2
17.6 J = 1/2(80000N/m)x^2
0.020976176 m = x
b)
I am not sure what to do for this particular part?
v1`=(m1-m2)/(m1+m2)v1 + (m1xm2)/(m1+m2)v2
v1`=0.4 m/s
Ek = 17.6 J
17.6 J = 1/2kx^2
17.6 J = 1/2(80000N/m)x^2
0.020976176 m = x
b)
I am not sure what to do for this particular part?
v1`=(m1-m2)/(m1+m2)v1 + (m1xm2)/(m1+m2)v2
v1`=0.4 m/s
+5.94 m/s
v1`= 6.34 m/s
v2` = (2m1)/(m1+m2)v1 + (m2-m1)/(m1+m2)v2
v2` = 3.6 m/s
v1`= 6.34 m/s
v2` = (2m1)/(m1+m2)v1 + (m2-m1)/(m1+m2)v2
v2` = 3.6 m/s
+ 0.6 m/s
v2` = 3 m/s
Ektot = 1/2m1v1^2 + 1/2m2v2^2
Ektot = 14.4 J +39.6 J
Ektot = 54 J
Ektot` = 1/2m1v1`^2 + 1/2m2v2`^2
Ektot` = 36.17604 J + 9.9 J
Ektot` = 46.07604 - but they are not the same since its elastic they are supposed to be the same
v2` = 3 m/s
Ektot = 1/2m1v1^2 + 1/2m2v2^2
Ektot = 14.4 J +39.6 J
Ektot = 54 J
Ektot` = 1/2m1v1`^2 + 1/2m2v2`^2
Ektot` = 36.17604 J + 9.9 J
Ektot` = 46.07604 - but they are not the same since its elastic they are supposed to be the same
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