A mass of 0.11 kg is initially at rest at an unknown position on the -x axis, xi. It begins accelerating towards x=0, with a constant acceleration of 2.50 m/s2 As it passes x= -7.30 m its speed is 5.18 m/s. Calculate the speed of the mass as it crosses the origin, x=0 (in m/sec).
use the equation relating initial velocity, final velocity, and displacement and constant acceleration
. Calculate the total travel time (in sec) from xi to x=0 (in sec).
Find the initial postion of the mass on the -x axis, xi.
A mass of 0.11 kg is initially at rest at an unknown position on the -x...
A mass m = 2.77 kg is attached to a spring of force constant k = 44.9 N/m and set into oscillation on a horizontal frictionless surface by stretching it an amount A = 0.11 m from its equilibrium position and then releasing it. The figure below shows the oscillating mass and the particle on the associated reference circle at some time after its release. The reference circle has a radius A, and the particle traveling on the reference circle...
7. A body of mass m-1kg initially is at position xo- -1m and starts moving away from the origin with speed to = 10m/sec. It is moving along the z axis under the influence of three forces (i) an attractive force towards the origin which is 8 times the position of the body (ii) the air resistance which is 6 times the velocity of the body; 160 (iii) and the kinetic friction with coefficient μ (a) The initial value problem...
A glider with mass m = 0.200 kg sits on a frictionless horizontal air track, connected to a spring with force constant k = 5.20 N/m . You pull on the glider, stretching the spring 0.130 m , and then release it with no initial velocity. The glider begins to move back toward its equilibrium position ( x=0 ). Part A What is the speed of the glider when it returns to x=0 ? Part B What must the initial...
I need help figuring out pard D.. A tourist is driving a car along a straight road at a constant speed of 22.5 m/s. Just as she passes a law officer parked along the side of the road, the officer starts to accelerate 2.50 m/s2 to overtake her. Assume that the officer maintains this acceleration. (a) Determine the time it takes the officer to reach the tourist (in s). 18 s (b) Find the speed of the officer as he...
A mass m = 3 kg is attached to a spring with spring constant k = 3 N/m and oscillates with simple harmonic motion along the x-axis with an amplitude A = 0.10 m. (a) What is the angular frequency of this oscillation? (b) What is the period T and the frequency f of the oscillation? (c) If the phase constant = 0, write down expressions for the displacement, velocity and acceleration of the mass as a function...
In a laboratory experiment, an initially stationary electron (mass = 9.11 x 10-31 kg) undergoes a constant acceleration through 1.5 cm, reaching a speed of 4.0 x 106 m/s at the end of that distance. What are (a) the magnitude of the force accelerating the electron and (b) the electron's weight? (a) Number Units (b) Number Units
A speedboat starts from rest with a constant acceleration of +1.50 m/s2. After 4.00 seconds, its acceleration changes to +1.00 m/s2. After another 5.00 seconds, its acceleration changes to zero and the boat travels with constant velocity for a further 10.0 seconds. The boat then slows down and stops by accelerating at -2.00 m/s2. 1. Calculate the velocity and displacement of the boat at t = 4.00 seconds. 2. Calculate the velocity and displacement of the boat at t =...
Ignore damping forces. A mass of 4 kg is attached to a spring with constant k- 16 N/m, then the spring is stretched 1 m beyond its natural length and given an initial velocity of 1 m/sec back towards its equilibrium position. Find the circular frequency ω, period T, and amplitude A of the motion. (Assume the spring is stretched in the positive direction.) A 7 kg mass is attached to a spring with constant k 112 N m. Given...
A mass m = 5 kg is connected to an ideal massless spring of spring constant k = 100 N/m. At initial time t = 0 s, the mass passes the equilibrium position moving to the left (defined as the negative x direction) with a velocity vx0 = -5 m/s. Part (a): What is the first time after the initial time that the mass will be at the rightmost displacement? What is the quickest approach to this problem?
Net 15.04 4. An object of mass M = 12.0 kg is moving in the + x direction. As it passes the point x = 0, its speed is 5.00 m/s. The graph shows the net force, which points in the + x direction, that is acting on the object. Calculate: a) The net work done on the object as it moves from x=0 to X = 5.00 m b) The speed of the object as it passes the point...