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*下- 10.0 cm 一一下

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2. The figure below shows a ballistic pendulum consisting of a bullet and a block hanging from a string. The initial velocity of the bullet is 900 m/s and its mass is 0.012 kg. The bullet stays inside the block, and both reach a height h. Determine the height at which both reach if the mass of the block is 3.00 kg. m1 V01 m2
A block of mass M = 5.50 kg, at rest on a horizontal frictionless table, is attached to a rigid support by a spring of constant k = 6030 N/m. A bullet of mass m - 8.90 g and velocity of magnitude 740 m/s strikes and is embedded in the block (the figure). Assuming the compression of the spring is negligible until the bullet is embedded, determine (a) the speed of the block immediately after the collision and (b) the amplitude of the resulting simple harmonic motion. (a) Number i (b) Number i Units Units m M k 000000000
A block of mass m1 = 1.47 kg, initially moving to the right with a velocity of +3.90 m/s on a frictionless horizontal track, collides with a massless spring attached to a second block of mass m2 = 2.02 kg moving to the left with a velocity of −2.46 m/s, as shown in Figure a. The spring has a spring constant of 5.83 102 N/m. (a) Determine the velocity of block 2 at the instant when block 1 is moving to the right with a velocity of +3.00 m/s, as shown in Figure b. (Indicate the direction with the sign of your answer.) m/s(b) Find the compression of the spring. m Consider the instant that block 2 is at rest. (a) Find the velocity of block 1. (Indicate the direction with the sign of your answer.)v1f = m/s(b) Find the compression of the spring.x = m
A ball of mass 0.45 kg is fired with velocity 120 m/s into the barrel of a spring gun of mass 2.0 kg initially at rest on a frictionless surface. The ball sticks in the barrel at the point of maximum compression of the spring. No energy is lost to friction. What fraction of the ball's initial kinetic energy is stored in the spring?
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…
1. An inventor patents a "golf machine". It consists of a "golf club" which is really a pendulum of length L = 2 (m), with a massles string and a mass M = 30 (kg) on the end. By pulling back on the pendulum until the string makes an angle 0= 10° from the vertical, and then releasing it from rest, the golf club strikes the "golf ball" exactly horizontally. The golf ball is a mass m = that rests on a platform which is h = 20 (cm) above the horizontal ground. Assume that all collisions are elastic and all masses are point masses. Finally you should ignore air resistance but gravity acts down as usual. M) 0.1 (kg) h А. What is the speed of M just before it strikes m? | After m is struck by M, how long is m in the air before it hits the В. ground?
A rod of mass M = 3.25 kg and length L can rotate about a hinge at its left end and is initially at rest. A putty ball of mass m = 65 g, moving with speed v = 5.25 m/s, strikes the rod at angle θ = 51° from the normal at a distance D = 2/3 L, where L = 1.3 m, from the point of rotation and sticks to the rod after the collision. 1. What is the angular speed ωf of the system immediately after the collision, in radians per second?
In a ballistic pendulum experiment, a small marble is fired into a cup attached to the end of a pendulum. If the mass of the marble is 0.0235 kg and the mass of the pendulum is 0.250 kg, how high h will the pendulum swing if the marble has an initial speed of 5.65 m/s? Assume that the mass of the pendulum is concentrated at its end so that linear momentum is conserved during this collision. h = m
A puck of mass m₂ = 72.0 g and radius r₁ = 3.70 cm glides across an air table at a speed of = 1.50 m/s as shown in Figure a. It makes a glancing collision with a second puck of radius r₂ = 6.00 cm and mass m₂ = 105 g (initially at rest) such that their rims just touch. Because their rims are coated with instant-acting glue, the pucks stick together and rotate after the collision (Figure b). m₁ m₂ b (a) What is the magnitude of the angular momentum of the system relative to the center of mass? kg. m²/s (b) What is the angular speed about the center of mass? rad/s
Consider a plastic block with mass 0.750 kg The block is suspended from the lower end of a cord that is 1.76 m long. With the block initially at rest, it is struck by a bullet with mass 0.0132 kg and a horizontal velocity vo. After the collision, the bullet becomes embedded into the block, and the combined object swings on the end of the cord. When the block has risen a vertical height of 0.700 m, the tension in the cord is 4.80 N Part A Calculate the initial speed vo of the bullet? Express your answer with the appropriate units, HA Value |Units %3D
*38. A ball is attached to one end of a wire, the other end be- ing fastened to the ceiling. The wire is held horizontal, and the ball is released from rest (see the drawing). It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.60 kg and 2.40 kg, and the length of the wire is 1.20 m. Find the velocity (magnitude and direction) of the ball (a) just before the collision, and (b) just after the collision. +x
A 12.0-g bullet is fired horizontally into a 114-g wooden block that is initially at rest on a frictionless horizontal surface and connected to a spring having spring constant 143 N/m. The bullet becomes embedded in the block. If the bullet-block system compresses the spring by a maximum of 82.0 cm, what was the speed of the bullet at impact with the block? m/s