Part A Learning Goal: To analyze an oblique impact using the conservation of momentum and coefficient of restitution Whe
Posted: Tue Apr 26, 2022 3:57 pm
- Part A Learning Goal To Analyze An Oblique Impact Using The Conservation Of Momentum And Coefficient Of Restitution Whe 1 (124.79 KiB) Viewed 39 times
Immediately after the collision, what are
(vAy)2 and
(vBy)2,
the y components (along the plane of contact) of
the velocities for ball A and
ball B, respectively?
Express your answers numerically in meters per second to three
significant figures separated by a comma.
Part A Learning Goal: 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 axis). Momentum of the system is conserved along the line of impact (the x axis): m(v.) = m(v.)2 The coefficient of restitution, e, relates the relative-velocity components of the particles , along the line of impact (the x axis): 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 10.0 m/s as it moves upward. Each ball's mass is 57.0 g and the collision's coefficient of restitution is 0.710. Eigure 2) In the figure. 0 = 30.0° and 1 = 20.0°. What is (v2). the velocity of tennis ball A, immediately before the collision? Express your answer numerically in meters per second to three significant figures. View Available Hint(s) (VA). = 8.86 m/s Submit Previous Answers (VERI)2-(VAZ) e (VA), -(VR), 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: Correct (vy) = (vy)2 Part B Immediately after the collision, what are the x components of velocity for balls A and B. (Az)2 and (VBr)2, respectively, on the axis system shown? Express your answers numerically in meters per second to three significant figures separated by a comma. View Available Hint(s) IVO AEQ11 vec ΑΣΦ th ? (VAR)2 (VBz)2 = m/s m/ Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Figure < 1 of 2 > Part C Complete previous part(s) Provide Feedback Next > 4 m 6 m B
Figure < 2 of 2 А 02 plane of contact (NB) (18)2 1 B line of impact