As shown in Figure 2, two vehicles approach an intersection with the velocities indicated in the Figure. The mass m, of the car is unknown; the mass m2 of the pickup truck is 1,950 kg. 25.0 m/s The vehicles collide and fuse together, and the combined wreckage slides off the road as shown, with final velocity vf at an angle 0 with respect to the x-axis. 20.0 m/s ---theta = 35.5 (degrees) There are no external forces acting on the system during the collision. Figure 2. a) Using conservation of momentum, calculate the final velocity vf (in m/s) and the mass m, of the car (in kg). p = mi Fext At = Ap Include a labeled Free Body Diagram (FBD) showing all momentum vector 1 K = -mv² components. F, = HgN b) Calculate the kinetic energies (in J) just before and just after the collision. Is the collision elastic or inelastic, and why? What is the ratio K¢/K¡ of the final to the initial kinetic energy? Wext = F · Ax %3! Wext = (K – K,) + (U – U.) c) The fused wreckage now slides over a surface with coefficient of kinetic friction Hix and comes to rest a distance Ax = 150 feet from the point of the collision. Use the Work-Energy Theorem to calculate µg. Note: Part c) is not a two-dimensional problem, as in a). It is just a one- dimensional slide on a flat surface with friction.

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Chapter1: Units, Trigonometry. And Vectors
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Can you show me how to solve c?

As shown in Figure 2, two vehicles
approach an intersection with the velocities
indicated in the Figure. The mass m1 of the car is
unknown; the mass m2 of the pickup truck is
1,950 kg.
25.0 m/s
The vehicles collide and fuse together, and the
combined wreckage slides off the road as shown,
with final velocity vf at an angle 0 with respect to
the x-axis.
20.0 m/s
----theta = 35.5 (degrees)
There are no external forces acting on the system
during the collision.
Figure 2.
p = md
a) Using conservation of momentum, calculate the
final velocity vf (in m/s) and the mass m, of
the car (in kg).
Fext · At = Ap
1
Include a labeled Free Body
Diagram (FBD) showing all momentum vector
K = mv²
components.
Fr = HkN
b) Calculate the kinetic energies (in J) just before
and just after the collision. Is the collision
elastic or inelastic, and why? What is the ratio
Kf/K¡ of the final to the initial kinetic energy?
Wext = F· Ax
Wext = (K – Ko) + (U – U.)
%3D
c) The fused wreckage now slides over a surface with coefficient of kinetic friction
Hk and comes to rest a distance Ax = 150 feet from the point of the collision. Use
the Work-Energy Theorem to calculate µg-
Note: Part c) is not a two-dimensional problem, as in a). It is just a one
dimensional slide on a flat surface with friction.
Transcribed Image Text:As shown in Figure 2, two vehicles approach an intersection with the velocities indicated in the Figure. The mass m1 of the car is unknown; the mass m2 of the pickup truck is 1,950 kg. 25.0 m/s The vehicles collide and fuse together, and the combined wreckage slides off the road as shown, with final velocity vf at an angle 0 with respect to the x-axis. 20.0 m/s ----theta = 35.5 (degrees) There are no external forces acting on the system during the collision. Figure 2. p = md a) Using conservation of momentum, calculate the final velocity vf (in m/s) and the mass m, of the car (in kg). Fext · At = Ap 1 Include a labeled Free Body Diagram (FBD) showing all momentum vector K = mv² components. Fr = HkN b) Calculate the kinetic energies (in J) just before and just after the collision. Is the collision elastic or inelastic, and why? What is the ratio Kf/K¡ of the final to the initial kinetic energy? Wext = F· Ax Wext = (K – Ko) + (U – U.) %3D c) The fused wreckage now slides over a surface with coefficient of kinetic friction Hk and comes to rest a distance Ax = 150 feet from the point of the collision. Use the Work-Energy Theorem to calculate µg- Note: Part c) is not a two-dimensional problem, as in a). It is just a one dimensional slide on a flat surface with friction.
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