a man checked himself into seattle hospital. he didnt know who he was and had no idea how he got to seattle. the hospital staff
2 answers:
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Answer:
A.
B.
C. ΔK
Explanation:
From the exercise we know that the car and the truck are traveling eastward. I'm going to name the car 1 and the truck 2
A. Since the two vehicles become entangled the final mass is:
From linear momentum we got that:
B. The change in velocity of both vehicles are:
For the car
For the truck
C. The change in kinetic energy is:
ΔK=
ΔK=
ΔK
(a) 23.4
The fiber-to-matrix load ratio is given by
where
is the fiber elasticity module
is the matrix elasticity module
is the fraction of volume of the fiber
is the fraction of volume of the matrix
Substituting,
(1)
(b) 44,594 N
The longitudinal load is
F = 46500 N
And it is sum of the loads carried by the fiber phase and the matrix phase:
(2)
We can rewrite (1) as
And inserting this into (2):
Solving the equation, we find the actual load carried by the fiber phase:
(c) 1,906 N
Since we know that the longitudinal load is the sum of the loads carried by the fiber phase and the matrix phase:
(2)
Using
F = 46500 N
We can immediately find the actual load carried by the matrix phase:
(d) 437 MPa
The cross-sectional area of the fiber phase is
where
is the total cross-sectional area
Substituting , we have
And the magnitude of the stress on the fiber phase is
(e) 8.0 MPa
The cross-sectional area of the matrix phase is
where
is the total cross-sectional area
Substituting , we have
And the magnitude of the stress on the matrix phase is
(f)
The longitudinal modulus of elasticity is
While the total stress experienced by the composite is
So, the strain experienced by the composite is
When the ball starts its motion from the ground, its potential energy is zero, so all its mechanical energy is kinetic energy of the motion:
where m is the ball's mass and v its initial velocity, 20 m/s.
When the ball reaches its maximum height, h, its velocity is zero, so its mechanical energy is just gravitational potential energy:
for the law of conservation of energy, the initial mechanical energy must be equal to the final mechanical energy, so we have
From which we find the maximum height of the ball:
Therefore, the answer is yes, the ball will reach the top of the tree.
where m is the ball's mass and v its initial velocity, 20 m/s.
When the ball reaches its maximum height, h, its velocity is zero, so its mechanical energy is just gravitational potential energy:
for the law of conservation of energy, the initial mechanical energy must be equal to the final mechanical energy, so we have
From which we find the maximum height of the ball:
Therefore, the answer is yes, the ball will reach the top of the tree.