Question 10 (a) In a minor rail yard accident, a runaway goods truck of mass 1.85 x 10 kg collides at u = 20.0 ms¹ with a stationary truck of mass 2.20 x 10 kg, as shown in Figure 3. The trucks lock together and travel at the same speed after the collision. Assume friction is negligible. moving goods truck stationary goods truck Figure 3 Sketch of the runaway and stationary goods trucks, for use in Question 10. (i) Show that the speed of the trucks after the collision is 9.14 ms¹. (ii) One of the truck wheels can be modelled as a solid disk of radius 4.60 x 10-1 m and moment of inertia 36.5 kg m2. Calculate the magnitude of the wheel's angular momentum after the collision. (iii) The truck's linear velocity vector is in the positive x-direction using the Cartesian coordinate system shown in Figure 3. What is the direction of the wheel's angular momentum vector? Briefly explain your reasoning.

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Question 10
(a) In a minor rail yard accident, a runaway goods truck of mass
1.85 x 10 kg collides at u = 20.0 ms¹ with a stationary truck of
mass 2.20 x 10 kg, as shown in Figure 3. The trucks lock together
and travel at the same speed after the collision. Assume friction is
negligible.
moving
goods truck
stationary
goods truck
Figure 3 Sketch of the runaway and stationary goods trucks, for use
in Question 10.
(i) Show that the speed of the trucks after the collision is
9.14 ms¹.
(ii) One of the truck wheels can be modelled as a solid disk of
radius 4.60 x 10-1 m and moment of inertia 36.5 kg m2.
Calculate the magnitude of the wheel's angular momentum
after the collision.
(iii) The truck's linear velocity vector is in the positive x-direction
using the Cartesian coordinate system shown in Figure 3.
What is the direction of the wheel's angular momentum
vector? Briefly explain your reasoning.
Transcribed Image Text:Question 10 (a) In a minor rail yard accident, a runaway goods truck of mass 1.85 x 10 kg collides at u = 20.0 ms¹ with a stationary truck of mass 2.20 x 10 kg, as shown in Figure 3. The trucks lock together and travel at the same speed after the collision. Assume friction is negligible. moving goods truck stationary goods truck Figure 3 Sketch of the runaway and stationary goods trucks, for use in Question 10. (i) Show that the speed of the trucks after the collision is 9.14 ms¹. (ii) One of the truck wheels can be modelled as a solid disk of radius 4.60 x 10-1 m and moment of inertia 36.5 kg m2. Calculate the magnitude of the wheel's angular momentum after the collision. (iii) The truck's linear velocity vector is in the positive x-direction using the Cartesian coordinate system shown in Figure 3. What is the direction of the wheel's angular momentum vector? Briefly explain your reasoning.
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