A block of clay is suspended as part of a ballistic pendulum (see Example 8.7). You have a gun that uses compressed air to fire a small 5.00 g ball into the clay. As you change the pressure of the air used to fire the ball, you can adjust the speed of the ball as it emerges from the gun. You fire the ball into the clay at a series of known speeds and measure the height to which the clay rises after the ball embeds within it. Your data are shown in the table below:
Speed (m/s) | Height (mm) |
100 | 8.8 |
110 | 10.6 |
120 | 12.6 |
130 | 14.8 |
140 | 17.2 |
150 | 19.7 |
Make a plot of the square of the initial speed of the ball as a function of height. (Hint: Be sure to convert into SI units.) Using a linear “best-fit” to the data, determine the mass of the block of clay.
Want to see the full answer?
Check out a sample textbook solutionChapter 8 Solutions
College Physics (10th Edition)
Additional Science Textbook Solutions
Essential University Physics: Volume 1 (3rd Edition)
College Physics
Applied Physics (11th Edition)
Life in the Universe (4th Edition)
Glencoe Physical Science 2012 Student Edition (Glencoe Science) (McGraw-Hill Education)
Physics: Principles with Applications
- Students are given two spherical balls made of different materials, but of identical mass and diameter to experiment with. Each ball is dropped from an initial height, h0. The “sad ball” comes to rest without visibly bouncing when it strikes the tabletop. The “happy ball” bounces up to a final height h, where . A fellow student wants to use one of the balls in a carnival game where cups are knocked over by a thrown ball. Which ball should they use, happy or sad? Complete the table below A Answer the Question B Basic Physics C Cite Information D Draw it all togetherarrow_forwardAs seen below, a ballistic pendulum can be used to determine incoming projectile speeds by measuring the max angle θ a penetrable box of sand rises after the projectile is embedded in it. As seen below, the projectile has a weight of 2 oz and an incoming speed v = 2000 ft/s. The box of sand weighs 50 lbs. a) Determine the speed of the box of sand right after the projectile is embedded. b) Find the energy lost during the impact of the projectile and the box of sand. c) Determine the max angle to which the box rises after impact.arrow_forwardA0.1kg bullet is fired horizontally at initial speed 10m/s into a 0.9kg wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring with spring constant 100 N/m. The bullet becomes embedded in the block. Then the bullet-block system compresses the spring. (a) What is the speed of the system including the block and the bullet after they collide? Answer: m/s b) Find the maximum compression? Answer:arrow_forward
- A 15 g bullet is fired at a 2.1 kg wooden block which is hung at the end of 1.35 m long strings as a ballistic pendulum. The bullet strikes the block and imbeds itself 10 cm into the block. The pendulum then swings up to an angle of 27.5 0 . What is the muzzle velocity of the bullet? How much energy is transformed to thermal energy by friction between the bullet and the block?arrow_forward*Chapter 9, Problem 57 In the figure, a ball of mass m = 61 g is shot with speed v; = 26 m/s (in the negative direction of an x axis) into the barrel of a spring gun of mass M = 247 g initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. Assume that the increase in thermal energy due to friction between the ball and the barrel is negligible. What fraction of the initial kinetic energy of the ball is stored in the spring? 1 the tolerance is +/-2%arrow_forwardA pendulum of mass m and length is initially at rest at an angle 8. The pendulum then swings down and collides elastically with a stationary block of mass M. The block slides along the surface and eventually stops when it encounters a rough patch of length |Ad|. Assume that m = 1.7kg, L = 0.80m, 0 = 67, M 2.8kg and Ad = 0.55m. a) Calculate the speed of the block immediately after the elastic collision. b) What is the coefficient of kinetic friction of the rough patch?arrow_forward
- To test the speed of a bullet, you create a pendulum by attaching a 5.00 kg wooden block to the bottom of a 2.40 m long, 1.40 kg rod. The top of the rod is attached to a frictionless axle and is free to rotate about that point. You fire a 10 g bullet into the block, where it sticks, and the pendulum swings out to an angle of 34.0°. What was the speed of the bullet?arrow_forwardAn archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.10 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 42.0 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target? m/sarrow_forwardA 10 g bullet is fired into a 1.0 kg wood block, where it lodges. Subsequently, the block slides 4.2 m across a wood floor (uk = 0.2). What was the bullet's speed. Use g = 10 N/kg.arrow_forward
- The 0.5-kg ball is fired from the tube at A with a velocity of v = 6 m/s. If the coefficient of restitution between the ball and the surface is e = 0.8, determine the height h after it bounces off the surface. v = 6 m/s 2 m 130° B C harrow_forward1.A bullet with a mass of 4.0 g and a speed of 650 m/s is fired at a block of wood with a mass of 0.095 kg. The block rests on a frictionless surface, and is thin enough that the bullet passes completely through it. Immediately after the bullet exits the block, the speed of the block is 23 m/s. (a) What is the speed of the bullet when it exits the block? (b) Is the final kinetic energy of this system equal to, less than, or greater than the initial kinetic energy? Explain. (c) Verify your answer to part (b) by calculating the initial and final kinetic energies of the system. Explain and labled the problem.arrow_forwardAn archer shoots an arrow toward a 300-g target that is sliding in her direction at a speed of 2.15 m/s on a smooth, slippery surface. The 22.5-g arrow is shot with a speed of 35.5 m/s and passes through the target, which is stopped by the impact. What is the speed of the arrow after passing through the target?arrow_forward
- Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning