A ball at rest is hit by a ball of the same weight coming down a ramp. The balls collide and both fall to the floor in different directions. The same scenario above happens but the ball at rest is lighter than the ball coming down the ramp. Why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?
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A ball at rest is hit by a ball of the same weight coming down a ramp. The balls collide and both fall to the floor in different directions.
The same scenario above happens but the ball at rest is lighter than the ball coming down the ramp.
Why must the displacement vector of the lighter ball be scaled by the ratio of masses of the two balls?
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- The figure shows Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0 container 1 has mass 1.2 kg and container 2 has mass 2.7 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.21 kg/s. At what rate is the acceleration magnitude of the containers changing at (a)t = 0 and (b)t = 5 s? (c) When does the acceleration reach its maximum value? (a) Number (b) Number (c) Number Units Units Units Click if you would like to Show Work for this question: Open Show WorkA crate sits on a wooden horizontal surface (a wooden floor). The figure shows a top view of this looking down onto the crate (gravity would be acting into the page). Man one and man two apply forces F1 and F2, at angles of θ1 and θ2 respectively, with the goal of moving the crate in the x-direction. A resultant force of Fr = 29 lbs in the x-direction is required to accomplish this. All of the forces are in the xy plane. If man one applies a force of F1 = 22.5 lbs at an angle of θ1 = 15° from the positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. Write an expression for Fr just as the crate starts to move using the sum of the forces in the x-direction in terms of the variables F1, F2, θ1, and θ2. Write an equation for the sum of forces in the y-direction when the crate just starts to move using the specified coordinate system. Put your answer in terms of the variables F1, F2, θ1, and θ2. Combine these two equations to…An astronaut lost in space is far from any other mass (i.e.,gravity is negligible). He swings a weight of mass m = 0.5 kg that is tiedto a string, and it undergoes counterclockwise circular motion with aradius r = 2 m. The mass does a revolution once every 3 seconds.a) Draw the velocity and acceleration vectors of mass m at points p1,p2, and p3.b) What is the velocity?c) What is the centripetal force?d) What is the magnitude of the tension force in the string?
- A toy car is rolling down the ramp as shown in the figure. The car's mass is m = 1.6 kg and the ramp makes an angle of θ = 12 degrees with respect to the horizontal. Assume the car is rolling without friction. A) Using the coordinate system specified given an expression for the acceleration of the car in the terms of θ, g and the unit vectors i and j. B) What is the magnitude of this acceleration in m/s^2Two blocks are in contact on a frictionless table. A horizontal force is applied to the larger block, as shown in the figure. (a) If m1 = 2.4 kg, m2 = 1.6 kg, and F = 3.8 N, find the magnitude of the force between the two blocks. (b) Assume instead that a force of the same magnitude Fis applied to the smaller block but in the opposite direction, and calculate the magnitude of the force between the blocks. (Why is the value calculated in (b) not the same as that calculated in (a)?)A lazy fish sees your fishing hook. The fish is initially located at position (3 m,-2 m) and drifts towards the fishing hook that is located at position (6 m, 0 m). The fish is a real lunker and has a mass of m = 9.1 kg. a) What is the displacement vector for the fish during this time interval? Express your answer using unit-vector notation (i.e. ->Ar = _î + __j) (6 m, 0 m) |(3 m, -2 m) Suppose the river exerted a constant force of F* = (28 N)î – (14 N)ĵ on the fish as it moved toward the hook. b) How much work was done on the fish by the river?
- Please help me answer thisTwo objects (m1=11.0 kg and m2=3.00 kg) are separated by 40.0 cm. A third object (m3=1.00 kg) is placed at a location along the line connecting them such that the net force acting on it is zero. By considering the force vectors, this location must be between the two original objects. We will define x as the distance between m1 and m3 and y as the distance between m2 and m3. 1) Find the distance between 11.0-kg object and 1.00-kg object along the line AB where a small, 1.00-kg object could rest such that the net gravitational force on it due to the two objects shown is exactly zero. (Express your answer to two significant figures.)V F Resolve the force F into components along the u and v axes, and determine the magnitudes of these components. Given that F = 35 N, a = 16° , and ß = 32°, the magnitude along u is (round to one decimal place) : N the magnitude along v is (round to one decimal place) : N
- A heavier mass m, and a lighter mass m, are 17.5 cm apart and experience a gravitational force of attraction that is 9.00 x 10-9 N in magnitude. The two masses have a combined value of 6.00 kg. Determine the value of each individual mass. m1 Consider the product and sum of the two masses to solve for the two unknown variables. kg m2 = |kg Additional Materials еВookA crate sits on a wooden horizontal surface (a wooden floor). The figure shows a top view of this looking down onto the crate (gravity would be acting into the page). Man one and man two apply forces F1 and F2, at angles of θ1 and θ2 respectively, with the goal of moving the crate in the x-direction. A resultant force of Fr = 30.5 lbs in the x-direction is required to accomplish this. All of the forces are in the xy plane. If man one applies a force of F1 = 21 lbs at an angle of θ1 = 16° from the positive x-axis, complete the following steps to determine the magnitude and angle of the force man two must apply. c) Combine these two equations to develop an expression for tan(θ2) in terms of Fr, F1, F2, and θ1. Remember that the crate does not move along the y-direction. d)Solve numerically for the value of θ2 in degrees. e)Using this value for θ2 and other known values, solve numerically for the value of F2 in lbs.In the figure here, block 1 of mass 2.2 kg and block 2 of mass 3.4 kg are connected by a string of negligible mass and are initially held in place. Block 2 is on a frictionless surface tilted at 0 = 23 °. The coefficient of kinetic friction between block 1 and the horizontal surface is 0.25. The pulley has negligible mass and friction. Once they are released, the blocks move. What then is the tension in the string? Number i Unit