A particle of mass m, initially at rest, moves on a horizontal line subject to a force F(t)=ae-bt. Show that the position and velocity of the particle as a function of time are: x = a/mb[t-1/b(1-e-bt)] and v = a/mb(1-e-bt).
A particle of mass m, initially at rest, moves on a horizontal line subject to a...
A mass M=9.9kg is on a horizontal, frictionless surface, and is initially at rest. It is subject to a position dependent force F=k( )'i. If k=45.1N, y=2.0, the mass is initially at ři=1.6mi, what is the final velocity as M starts from rest and moves along the x-axis to a final position is =4.9mi? Answer in
A mass M 3.8kg is on a horizontal, frictionless surface, and is initially at rest. It is subject to a position dependent force Im If k 42.9N,y=3.0, the mass is initially at 7i=2.4mi, what is the final velocity as M starts from rest and moves along the axis to a final position f 4.9mi? Answer in m 13.69 Answer: X
A mass M=4.5kg is on a horizontal, frictionless surface, and is initially at rest. It is subject to a position dependent force F =k( )'i. If k=49.4N, y=2.1, the mass is initially at Fi=1.4mi, what is the final velocity as M starts from rest and moves along the x-axis to a final position if =4.7mi? Answer in ". Answer: The correct answer is: 29.0 Try another question like this one
A particle with mass 4.0 kg is initially at rest at the origin (x=0). It then moves along the x-axis acted on by a force F(x)=18.0-2.0x2, where F is in Newtons if x is expressed in meters. Find the kinetic energy of the particle when it reaches x=3 m. A Honda Civic (mass=1090 kg) is initially traveling due East at 18.3 m/s when it suddenly collides head on with a Toyota Camry (mass=1612 kg) initially traveling due West at 31.8...
estion 10 A mass M 6.7kg is on a horizontal, frictionless surface, and is initially at rest. It is subject to a position dependent force F-k If k=80.3N, y-1.4, the mass is initially at -1.5mi, what is the final velocity as M starts from rest and moves along the x-axis to a final position f =5.3mi? Answer in correct ark 0.00 out 1.00 Flag estion Answer: 24,298 X The correct answer is: 22.8 Try another question like this one
A free particle, having rest mass Mo, is in vacuum and initially at rest in the lab frame S. It undergoes an acceleration under the action of a constant pure force F = (fo, fr, 0.0), where 0 c dt Find its 4-velocity U as a function of time and force. Sketch the graphs of the dependence of normalised 3-velocity 3 v/c and the Lorentz factor y(t) of the particle as a function of time t
A free particle, having rest mass Mo, is in vacuum and initially at rest in the lab frame S. It undergoes an acceleration under the action of a constant pure force F = (fo, fr, 0.0), where 0 c dt Find its 4-velocity U as a function of time and force. Sketch the graphs of the dependence of normalised 3-velocity 3 v/c and the Lorentz factor y(t) of the particle as a function of time t A free particle, having...
A mass M is on a horizontal, frictionless surface, and is initially at rest. It is subject to a position dependent force Frk( )'i. If k=75.8N, y=1.1, the mass is initially at ři=1.7mi, how much work is done as it move along the x-axis to a final position f =5.7mi? Answer in J. subjeto a position dependent A ()
1. Newton’s Laws and damped simple harmonic motion A particle of mass m = 5 moves in a straight line on a horizontal surface. It is subject to the following forces: an attractive force in the direction of the fixed origin O with magnitude 40 times the instantaneous distance from O a damping force due to friction which is 20 times the instantaneous speed the force due to gravity the normal force. The particle starts from rest at a distance...
A mass M is on a horizontal, frictionless surface, and is initially at rest. It is subject to a position dependent force F =kin'i. If k=62.6N, y=1.2, the mass is initially at ři=1.2mi, how much work is done as it move along the x-axis to a final position 5.5mi? Answer in J. Answer: 1550 * The correct answer is: 1170 Try another question like this one