Question

Oblique Impact

To analyze an oblique impact using the conservation of momentum and coefficient of restitution.

When an oblique impact occurs between two smooth particles, the particles move away from each other with velocity vectors that have unknown directions and unknown magnitudes. If the y axis is within the plane of contact and the x axis is the line of impact, the impulsive forces of deformation and restitution act only along the line of impact (the x axis). Momentum of the system is conserved along the line of impact (the x axis):

m(vx)1=∑m(vx)2

The coefficient of restitution, e, relates the relative-velocity components of the particles along the line of impact (the x axis):

e=(vBx)2−(vAx)2(vAx)1−(vBx)1

The momenta of both particles A and B are conserved in the plane of contact (the y axis) because no impulse acts on either particle in this plane. Therefore, the y component of the velocities before and after the collisions remains unchanged:

(vy)1=(vy)2

        

 

As shown, tennis ball A rolls off the top of a 10.0 m high wall, falls 4.00 m, and strikes another tennis ball, B, obliquely. (Figure 1) Before the collision, tennis ball B has a speed of 23.0 m/s as it moves upward. Each ball's mass is 57.0 g and the collision's coefficient of restitution is 0.630. (Figure 2) In the figure, θ1=30.0∘ and ϕ1=20.0∘. What is (vA)1, the velocity of tennis ball A, immediately before the collision?

 

A.
4 m
L-L-LH
И1
L-L
L-L
L-L-LFL-L-L
View transcribed image text
Expand
A
в,
|(VA)ı
(VA)2
plane of
(VB)1
ф2
contact
(Ув)2
Фт
line of impact-
X.
View transcribed image text
Expand

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Engineering
Mechanical Engineering

Related Mechanical Engineering Q&A

Find answers to questions asked by students like you.

Q: A rigid vessel with a volume of 3.0 m3 contains a fixed mass of H2O. Initially, the temperature is 5...

A: Given: The volume of rigid vessel, V = 3.0 m3. The temperature of water,T1= 50°C The quality of stea...

Q: We need a material that is optically transparent but electrically conductive. Such materials are use...

A: Indium oxide material is used for the touch screen display purpose. Indium tin oxide which is a comp...

Q: A stress of 1000 psi is applied to a polymerthat operates at a constant strain; after sixmonths, the...

A: Given data as per questionStress applied on the polymer = 1000psiAfter six-month stress drop = 850 p...

Q: need a,b, and c answered

A: Given data, Consider the diagram as shown below for the resolved components of velocities of bat an...

Q: Conservation of Linear Momentum   A 0.6-kg brick is thrown into a 25-kg wagon which is initially at...

A: Given data as per question Mass of brick =0.6 kg Wagon weight = 25 kg Velocity of brick =10 m/s Angl...

Q: Refer to drawing 21A035, what is dimension "I"? All abbreviations are standard

A: There are three views provided in the drawing shown: As we can see from the third figure the height ...

Q: Problems 5-111 through 5-116 Figures P5-111 through P5-116 show completed shearing force diagrams fo...

A: The shear force diagram is shown as below,  

Q: Compute the barometric pressure at an altitude of 1000 m, if the pressure at sea level is 101.4 kPa....

A: Given: The value of altitude , h = 1000 m The pressure at sea level , Ps = 101.4 kPa The value of te...

Q: To use the principle of linear impulse and momentum to relate a force on an object to the resulting ...

A: Mass of jetliner = 8.60×104 kg Velocity of jetliner = 74 m/s Time = 1.4 s

Transcribed Image Text

A. 4 m L-L-LH И1 L-L L-L L-L-LFL-L-L

A в, |(VA)ı (VA)2 plane of (VB)1 ф2 contact (Ув)2 Фт line of impact- X.