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.
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.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Can you show me how to solve c?
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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