A 1kg steel ball is attached to a lightweight 1m long rod pivoted at the other end. The ball is released at the horizontal and strikes a 3kg steel block resting on a surface with coefficient of kinetic friction 0.25. How far does the block travel? 1.0 kg 1.0 m 3.0 kg μ=0.25
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- The top edge of a rod of mass 2.80 kg is pivoted to a point on the ceiling. The rod is free to rotate about this pivot and the length of the rod is 40.0 cm. The rod is pulled to the right until it makes 27.0 degree with the vertical and then released from rest. At the same time a clay ball of mass 350 grams is moving to the right with a speed 160 cm/s. As soon as the rod reaches the vertical position (moving to the left), the clay ball hits the rod at the bottom and sticks to it. o search a. b. Determine the final angular velocity of the clay+rod system. 116 min 42 secs Find out the magnitude angular displacement of the clay+rod system after the impact BIUGG Next TE 24°C Partly cloudyA 4.20 kg cylindrical rod of length 2.00 m is suspended from a horizontal bar so it is free to swing about that end. A solid sphere of mass 0.25 kg is thrown horizontally with a speed v₁ = 17.0 m/s to hit the rod at the point A one-fifth of the way up from the bottom of the rod. The sphere bounces back horizontally with a speed V₂ = 9.50 m/s, while the rod swings to the right through an angle before swinging back toward its original position. What is the angular velocity, in rad/s, of the rod immediately after the collision? rad/s A (a) (b)A metal cannonball of mass m rests next to a tree at the very edge of a cliff 36.0 m above the surface of the ocean. In an effort to knock the cannonball off the cliff, some children tie one end of a rope around a stone of mass 80.0 kg and the other end to a tree limb just above the cannonball. They tighten the rope so that the stone just clears the ground and hangs next to the cannonball. The children manage to swing the stone back until it is held at rest 1.80 m above the ground. The children release the stone, which then swings down and makes a head-on, elastic collision with the cannonball, projecting it horizontally off the cliff. The cannonball lands in the ocean a horizontal distance R away from its initial position. (a) Find the horizontal component R of the cannonball’s displacement as it depends on m. (b) What is the maximum possible value for R, and (c) to what value of m does it correspond? (d) For the stone– cannonball–Earth system, is mechanical energy conserved…
- Problem: Statics. A worker places an aluminum ladder on a horizontal concrete slab against a vertical wooden wall at 30 degrees from the vertical. The ladder has length L=5m and m=30 kg. The ladder's CM is at a third of the length up. Worker Bob has mass M-90 kg and intends to climb up the ladder. Simultaneously, worker Charlie has mass M-90 kg and operates a rope through a single pulley to hoist a pail of mass m=30 kg. The axle of the pulley is anchored to the ladder at A=0.3 m along the ladder from the top point. Charlie is pulling the rope down with enough force to hoist the pail at uniform velocity. The mass of the pulley and rope are negligible. The friction in the pulley axle is negligible. The ladder is equipped with rubber booties and a rubber top. The kinetic friction coefficients are: rubber on dry concrete 0.9, rubber on dry wood 0.9, aluminum on wet concrete 0.2, aluminum on wet wood 0.2. 30 30 a) Calculate the safety limit in terms of maximal height off the ground that Bob…A 1.6-kg block is attached to the end of a 2.0-m string to form a pendulum. The pendulum is released from rest when the string is horizontal. At the lowest point of its swing when it is moving horizontally, the block is hit by a 10-g bullet moving horizontally in the opposite direction. The bullet remains in the block and causes the block to come to rest at the low point of its swing. What was the magnitude of the bullet's velocity just before hitting the block?A 2.40-kg cylindrical rod of length 2.00 m is suspended from a horizontal bar so it is free to swing about that end. A solid sphere of mass 0.25 kg is thrown horizontally with a speed v, = 13.5 m/s to hit the rod at the point A one-fifth of the way up from the bottom of the rod. The sphere bounces back horizontally with a speed v, = 9.50 m/s, while the rod swings to the right through an angle 0 before swinging back toward its original position. What is the angular speed of the rod immediately after the collision? rad/s (a) (b)
- Jenna releases a box crate that has a mass of m = 5 kilograms on her physics contraption. The box crate slides down a smooth slide surface through a vertical height distance of h=85 cm and then collides and sticks to the lower end of a vertical pole that has a of mass M=10.5 kg and length 1=2.00m. Right after the impact, the pole pivots about a point near its upper end through an angle (theta) before it stops momentarily. See the image given to visualize Janna's system. Please Figure out the following. Explain your steps in detail. a. The speed of the box crate just before it hits the pole b. The angular speed of the pole just after impact c. The angle (theta) through which the pole pivots 0 Jenna and her physics contraptionIn a Broadway performance, an 89.5 kg actor swings from a 4.00 m long cable that is horizontal when he starts. At the bottom of his arc, he picks up his 55.0 kg costar in an inelastic collision. What maximum height do they reach after their upward swing? Need Help? Read It10. A homogeneous square block of mass m = 1 m kg and side length l horizontal surface. The bottom right corner 6 m rests on a m pivot of the block is attached to the surface by a pivot. A point particle of the same mass 1 kg moving horizontally with speed v = 64 m/s, as shown in the m = figure, hits the block at its upper left corner and sticks to the corner where it hits. (Moment of inertia of a homogeneous square of mass m and side length l around its center of mass is I = ml²/6.) What is the moment of inertia of the square block alone (without the point particle that sticks to the upper left corner) around the pivot? (a) 24 kg. m? (e) 16 kg m? (b) 12 kg- m² (c) 32 kg-m² (d) 216 kg m?
- 5. A 0.00600 kg bullet traveling horizontally with speed 1.00 103 m/s strikes a 17.9 kg door, embedding itself 10.4 cm from the side opposite the hinges as shown in the figure below. The 1.00 m wide door is free to swing on its frictionless hinges. F. What If? Imagine now that the door is hanging vertically downward, hinged at the top, so that the figure is a side view of the door and bullet during the collision. What is the maximum height (in cm) that the bottom of the door will reach after the collision? _________cmI got this question wrong, I got 0.161 meaters as my final answer can someone please give me detailed steps on my process? An 26 g rifle bullet traveling at 370 m/s buries itself in a 4.8 kg pendulum hanging on a 2.2 m long string, which makes the pendulum swing upward in an arc. Determine the maximum vertical displacement of the pendulum (height).(g = 9.8 m/s2)A rocket motor is undergoing a "bench test." It is attached to a fixed support by four large springs of constant 10^6 N/m. The motor burns fuel at a rate of 50 kg/s. When the motor is running the springs are observed to stretch 1.5 cm. Determine the exhaust speed of the burned fuel.