In a ballistic pendulum an object of mass in is fired with an initial speed at apendulum bob. The bob has a mass M, which is suspended by a rod of lengthL and negligible mass. After the collision, the pendulum and object sticktogether and swing to a maximum angular displacement as shown (Figure 1).FigureLM-M+m2-01 of 1Part AFind an expression forthe initial speed of the fired object.Express your answer in terms of some or all of the variables m, M, L., and and the acceleration due to gravity, g-▸ View Available Hint(s)ΑΣΦSubmitPart B(vo)/(0)4=←Submit+An experiment is done to compare the initial speed of bullets fired from different handguns: a 9.0 mm and a 44 caliber. The guns are fired into a 10-kg pendulum bob of length L. Assumethat the 9.0-mun bullet has a mass of 6.0 g and the .44-caliber bullet has a mass of 12 g. If the 9.0-mum bullet causes the pendulum to swing to a maximum angular displacement of 4.3" andthe .44-caliber bullet causes a displacement of 10.1°, find the ratio of the initial speed of the 9.0-mm bullet to the speed of the .44-caliber bullet, (n)/(Un)-Express your answer numerically.► View Available Hint(s)Û M ?9. A£$CHaviaw?

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In a ballistic pendulum an object of mass m is fired with an initial speed v0 at a pendulum bob. The bob has a mass M , which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement θ as shown . Part A Find an expression for v0 , the initial speed of the fired object. Express your answer in terms of some or all of the variables m , M , L , and θ and the acceleration due to gravity, g . You did not open hints for this part.
The pendulum apparatus in the video has a total mass of 578 grams. The pendulum rod has a small mass of 20 grams so you can treat all the mass of the pendulum as if it were hanging at the end which is called the “bob”. The mass of the rod should be taken into account in determining the center of mass of the apparatus which is 71.3 cm (not the length of the pendulum). A marble which hass a mass of 10 g is fired at the pendulum bob which has clay on it which allows the marble to stick to it. Derive a formula for measuring the velocity of the marble (vm) as a function of the mass of the marble mm, the mass of the marble/bob mmb and the velocity of the marble and bob vmb using the conservation of momentum.
In a ballistic pendulum an object of mass m is fired with an initial speed vat a pendulum bob. The bob has a mass M, which is suspended by a rod of length I and negligible mass. After the collision, the pendulum and object stick together and swing to a maximum angular displacement as shown ( Figure 1). Figure V %0 m M -M+m V=0 1 of 1 > Part A Find an expression for, the initial speed of the fired object. Express your answer in terms of some or all of the variables m, M, L, and and the acceleration due to gravity, g. ► View Available Hint(s) Vo = (M+m)√2gL(1-cos(6)) m Submit Previous Answers ✓ Correct The ballistic pendulum was invented during the Napoleonic Wars to aide the British Navy in making better cannons. It has since been used by ballisticians to measure the velocity of a bullet as it leaves the barrel of a gun. In Part B you will use your expression for to compare the initial speeds of bullets fired from 9.0-mm and 44-caliber handguns. Part B An experiment is done to compare…
The bumper of a car has a force sensor mounted inside which records the force vs time graph during crash testing. A particular collision occurs between t = 0.075s and t = 2.32s and can be modelled by the following function: F(t) = 4t4 – 80t² + 140t – 10 A graph of the collision is also provided below: Impulse 60 50 40 30 20 10 1 time (s) Part A The impulse during the collision will be while the maximum force experience by the bumper will be 75 kg · m/s, 33N 54 kg · m/s, 54N O 75 kg · m/s, 54N 54 kg · m/s, 33N (N) aɔ10
Two solid metal balls, M1 = 40 g and M2 = 60 g, are each suspended from 32 cm long chords in a Newton’s Cradle type arrangement as shown in the figure above. The lighter ball is pulled away so that it makes a 57 degrees angle with respect to the vertical and then released. a) What is the maximum angle the heavier ball will make with respect to the vertical after the collision? b) What is the maximum angle the lighter ball will make with respect to the vertical after the collision?
Ⓒ Macmillan Learning Two particles approach each other with equal and opposite speed, v. The mass of one particle is m, and the mass of the other particle is nm, where n is just a constant factor. Snapshots of the system before, during, and after the elastic collision are shown. m V Before V What is the value of n? nm Collision V m,final m n = After the collision, the first particle moves in the exact opposite direction with speed 2.40v, and the speed of the second particle, Unm, final, is unknown. 68 After Incorrect nm nm,final
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A system consists of three blocks with masses on a frictionless surface as shown in the figure below. Image size: s ML Max Part a The three blocks (from left to right in the figure) have masses of 3.51 kg, 1.09 kg and 7.17 kg. The leftmost block has a velocity of 3.34 m/s toward the right, the center block is stationary, and the rightmost block as a velocity of 2.71 m/s toward the left. Assuming movement toward the right is positive, what is the center of mass velocity of this system as pictured (prior to collision)? Please enter a numerical answer below. Accepted formats are numbers or "e" based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8 Enter answer here m/s No answer submitted 0 of 3 attempts used CHECK ANSWER Part b !!! Contents Back Scroll To Top 13 PAGES NOV W 25
An air-track cart with mass m1=0.23kg and initial speed v0=0.95m/s collides with and sticks to a second cart that is at rest initially. Part A If the mass of the second cart is m2=0.53kg how much kinetic energy is lost as a result of the collision?
A large raindrop--the type that lands with a definite splat--has a mass of 0.014 g and hits your roof at a speed of 8.1 m/s. Part A What is the magnitude of the impulse delivered to your roof? Express your answer with the appropriate units. J = Part B Fav = μA Value .0 If the raindrop comes to rest in 0.37 ms, what is the magnitude of the average force of the impact? Express your answer with the appropriate units. μA Units Value 2 ? Units ?
A 26-gg rifle bullet traveling 240 m/sm/s embeds itself in a 3.2-kgkg pendulum hanging on a 2.9-mm-long string, which makes the pendulum swing upward in an arc. a. Determine the vertical component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units. b. Determine the horizontal component of the pendulum's maximum displacement. Express your answer to two significant figures and include the appropriate units.
Please explain how to find the direction/angle relative to the positive direction of the x-axis

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