All surfaces (inclined or horizontal) are m frictionless. V = 0 A particle of mass m is released from rest at the top of an inclined surface, as shown. At the bottom of the incline, it hits and h sticks to a block of mass M which is fixed M to a spring (spring constant k), causing the spring to become compressed. (1) Find, in terms of m, M,h, g and k, the maximum compression of the spring. (ii) What is the loss in kinetic energy due to the collision (and the particle sticking to the block)?

All surfaces (inclined or horizontal) are m frictionless. V = 0 A particle of mass m is released from rest at the top of an inclined surface, as shown. At the bottom of the incline, it hits and h sticks to a block of mass M which is fixed M to a spring (spring constant k), causing the spring to become compressed. (1) Find, in terms of m, M,h, g and k, the maximum compression of the spring. (ii) What is the loss in kinetic energy due to the collision (and the particle sticking to the block)?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Please answer this NEATLY, COMPLETELY, and CORRECTLY for an UPVOTE. The wooden block (mass m = 0.5358 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle θ = 47.2°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block. NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.
The motion of a steel ball in a hemispherical bowl of radius h shown in fig is to be analyzed. The ball is initially held at the highest location at point A, and then it is released. Obtain relations for the conservation of energy of the ball for the cases of frictionless and actual motions.
A 0.50-kg trash-can lid is suspended against gravity by tennisballs thrown vertically upward at it. How many tennis ballsper second must rebound from the lid elastically, assumingthey have a mass of 0.060 kg and are thrown at 15m/s
A 1.0-kg steel ball 4.0m above the floor is released, falls, strikes the floor, and rises to a maximum height of 2.5 m. Find the momentum transferred from the ball to the floor in the collision.
Two rods, with masses MA and MB having a coefficient of restitution, e, move along a common line on a surface, figure 2. a) Find the general expression for the velocities of the two rods after impact. b) IfmA =2kg,mB =1kg,vB=3m/s,ande=0.65,find the value of the initial velocity vA of rod A for it to be at rest after the impact and the final velocity v’B of rod B. c) Find the percent decrease in kinetic energy which corresponds to the impact in part b
A 0.80 kg mass is hung from a string of 0.70 meters. On its next pass, the mass strikes a spring, With spring constant 15 N/M,At the very bottom of its trajectory. If all the masses energy is transferred to the spring, how much does the spring compress relative to its equilibrium position?
Forming a shock absorber, two springs of equal length are nested together. If the maximum compression of the springs is 0.25 and the outer spring has a stiffness of Ka = 420 N/m, what stiffness is required of the inner spring Kb? The design of the spring system is such that if a mass of 2.5 kg is at rest, then dropped from a distance of 0.75 m above the springs, the spring system will catch and stop the mass.
Block A (m = 5 kg), seen in the figure, sits on a smooth surface and is attached by a slender rod to a ball-and-socket joint at B. If the moment and force shown are simultaneously applied to the block, what will the speed of the block be after 4 seconds (starting from rest)?
John played croquet with a 0.922-kg. mallet head and you can assume that it can be modelled as a point mass for simplified analysis only in this case. Meanwhile, the mallet's handle has a length of 0.95 m and a mass of 0.63 kg. Helifts the mallet from the ground and swings it down, pivoting around her grasp, to strike the croquet ball. The ball, which is initially at rest, weighs 0.42 kilograms and it has linear velocity of 1.995 meters per second to the right immediately after impact. 1. Which of the following is the most ideally constructed momentum-impulse diagram for the system of croquet ball and mallet together 2. What is the kinematic relationship relating the velocity of the mass center of mallet handle AB vG and its angular velocity ω?
A lightweight drone (1.00 kg) is launched at 800 m high and moves upward at a constant velocity (whileignoring the effects of gravity only on the drone). The balloon, when measured at a horizontal distance fromyou, is about 1600 m away from you. At the moment when the drone moves, you shoot a bullet (weight =180g) with an initial velocity of 1009 m/s at a fixed angle α, where sin α=3/5 and cos α= 4/5. (g = 9.8 m/s2) d. Provided that the collision is inelastic, calculate the speed after the collision.e. Calculate the height the two objects taken from the impact up to the maximum height before it startsfalling to the ground.
Given the following: Mass of the particle m=18.8 kg, ω=9.6 rad/s, α=8.3 rad/s^2, vrel=7.8 m/s, μs=0.6, μk=0.1, L=1.9 m, and h=2.9 m, What is the i^ component of the Normal force on particle P? What is the component of the friction force in the j^ direction on the particle? What is the value (including sign) of (aP/O)rel? What is the i^ component of the Acceleration of particle P? What is the j^ component of acceleration of particle P?
Show the complete solution. Put notes on steps. The wooden block (mass m = 0.6165 kg) is released from rest at A by a compressed spring (compressed length 0.6 m, undeformed length 1 m, spring constant k = 150 N/m). The block is allowed to slide through the rough horizontal surface (A to B), then along the smooth circular ramp (B to C, central angle 0 = 45°, until the block is released after point C. Calculate the speed of the block at points B and C. Also, what is the magnitude of the normal force exerted to the block just before the block leaves the ramp? Neglect the geometry of the block.NOTE: Use Work-Energy Method to solve for the speeds; use Force-Mass-Acceleration (FMA) Method to compute for the normal force.