
Figure 8.50
Problem 65.
8.65. Set Up: Apply conservation of momentum to the collision and conservation of energy to the motion after the collision. Let +x be to the right.
Solve: Collision: Pi,x = Pf,x gives (4.20 × 10−3kg)v = (4.20 × 10−3kg + 2.50 kg)v′
Motion after the collision: The kinetic energy of the block immediately after the collision is converted entirely to gravitational potential energy at the maximum angle of swing. The figure below shows that the maximum height h the block swings up is given by h = (0.750 m)(l − cos34.7°) = 0.133 m.
Conservation of energy gives
Then the conservation of momentum equation gives
Reflect: The original speed of the bullet is nearly three times the speed of sound in air. Kinetic energy is not conserved in the collision. Our analysis assumes that the block moves very little during the collision, while the bullet is coming to rest relative to the block. This is a good approximation since the velocity the block gets in the collision is much less than the initial velocity of the bullet.

Want to see the full answer?
Check out a sample textbook solution
Chapter 8 Solutions
College Physics (10th Edition)
Additional Science Textbook Solutions
Anatomy & Physiology (6th Edition)
Campbell Biology (11th Edition)
Human Biology: Concepts and Current Issues (8th Edition)
Brock Biology of Microorganisms (15th Edition)
Genetic Analysis: An Integrated Approach (3rd Edition)
Organic Chemistry (8th Edition)
- Can you solve this 2 question and teach me using ( engineer method formula)arrow_forward11. If all three collisions in the figure below are totally inelastic, which brings the car of mass (m) on the left to a halt? I m II III m m ע ע ע brick wall 0.5v 2m 2v 0.5m A. I B. II C. III D. I and II E. II and III F. I and III G. I, II and III (all of them)arrow_forwardHow can you tell which vowel is being produced here ( “ee,” “ah,” or “oo”)? Also, how would you be able to tell for the other vowels?arrow_forward
- You want to fabricate a soft microfluidic chip like the one below. How would you go about fabricating this chip knowing that you are targeting a channel with a square cross-sectional profile of 200 μm by 200 μm. What materials and steps would you use and why? Disregard the process to form the inlet and outlet. Square Cross Sectionarrow_forward1. What are the key steps involved in the fabrication of a semiconductor device. 2. You are hired by a chip manufacturing company, and you are asked to prepare a silicon wafer with the pattern below. Describe the process you would use. High Aspect Ratio Trenches Undoped Si Wafer P-doped Si 3. You would like to deposit material within a high aspect ratio trench. What approach would you use and why? 4. A person is setting up a small clean room space to carry out an outreach activity to educate high school students about patterning using photolithography. They obtained a positive photoresist, a used spin coater, a high energy light lamp for exposure and ordered a plastic transparency mask with a pattern on it to reduce cost. Upon trying this set up multiple times they find that the full resist gets developed, and they are unable to transfer the pattern onto the resist. Help them troubleshoot and find out why pattern of transfer has not been successful. 5. You are given a composite…arrow_forwardTwo complex values are z1=8 + 8i, z2=15 + 7 i. z1∗ and z2∗ are the complex conjugate values. Any complex value can be expessed in the form of a+bi=reiθ. Find r and θ for (z1-z∗2)/z1+z2∗. Find r and θ for (z1−z2∗)z1z2∗ Please show all stepsarrow_forward
- An electromagnetic wave is traveling through vacuum in the positive x direction. Its electric field vector is given by E=E0sin(kx−ωt)j^,where j^ is the unit vector in the y direction. If B0 is the amplitude of the magnetic field vector, find the complete expression for the magnetic field vector B→ of the wave. What is the Poynting vector S(x,t), that is, the power per unit area associated with the electromagnetic wave described in the problem introduction? Give your answer in terms of some or all of the variables E0, B0, k, x, ω, t, and μ0. Specify the direction of the Poynting vector using the unit vectors i^, j^, and k^ as appropriate. Please explain all stepsarrow_forwardAnother worker is performing a task with an RWL of only 9 kg and is lifting 18 kg, giving him an LI of 2.0 (high risk). Questions:What is the primary issue according to NIOSH?Name two factors of the RWL that could be improved to reduce risk.If the horizontal distance is reduced from 50 cm to 30 cm, how does the HM change and what effect would it have?arrow_forwardTwo complex values are z1=8 + 8i, z2=15 + 7 i. z1∗ and z2∗ are the complex conjugate values. Any complex value can be expessed in the form of a+bi=reiθ. Find r and θ for z1z2∗. Find r and θ for z1/z2∗? Find r and θ for (z1−z2)∗/z1+z2∗. Find r and θ for (z1−z2)∗/z1z2∗ Please explain all steps, Thank youarrow_forward
- An ac series circuit consists of a voltage source of frequency 60 Hz and voltage amplitude V, a 505-Ω resistor, and a capacitor of capacitance 7.2 μF. What must be the source voltage amplitude V for the average electrical power consumed in the resistor to be 236 W? There is no inductance in the circuit.arrow_forwardAn L−R−C series circuit has R= 280 Ω . At the frequency of the source, the inductor has reactance XLL= 905 Ω and the capacitor has reactance XC= 485 Ω . The amplitude of the voltage across the inductor is 445 V . What is the amplitude of the voltage across the resistor and the capacitor? What is the voltage amplitude of the source? What is the rate at which the source is delivering electrical energy to the circuit?arrow_forwardA 0.185 H inductor is connected in series with a 98.5 Ω resistor and an ac source. The voltage across the inductor is vL=−(12.5V)sin[(476rad/s)t]vL. Derive an expression for the voltage vR across the resistor. Express your answer in terms of the variables L, R, VL (amplitude of the voltage across the inductor), ω, and t. What is vR at 2.13 ms ? Please explain all stepsarrow_forward
- Principles of Physics: A Calculus-Based TextPhysicsISBN:9781133104261Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningPhysics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage LearningPhysics for Scientists and Engineers with Modern ...PhysicsISBN:9781337553292Author:Raymond A. Serway, John W. JewettPublisher:Cengage Learning
- College PhysicsPhysicsISBN:9781285737027Author:Raymond A. Serway, Chris VuillePublisher:Cengage LearningPhysics for Scientists and EngineersPhysicsISBN:9781337553278Author:Raymond A. Serway, John W. JewettPublisher:Cengage LearningUniversity Physics Volume 1PhysicsISBN:9781938168277Author:William Moebs, Samuel J. Ling, Jeff SannyPublisher:OpenStax - Rice University





