1. A box of mass M½, initially at rest, is acted on by a single position and time-dependent force F(x) = Fo sin(b²t) £ + Fo e V1ŷ with b, Fo, y1 constants. a. Determine the units of the constant b, F,, and y1. b. Assuming your system is the book, find the work done by this force on the book as it moves from = õ to i = xg£ + ¥1§.
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- I need help with this physics question. It relates to work/kinetic/potential energy. Approximations for average weight of a human can be used.A particle of mass m moves along the x-axis. Its potential energy at any point x is, V(x) = Vox²e¬z². Vo = constant. %3D a. Find the force on the particle. b. Find all the points on the x-axis where the particle can be in equilibrium. Determine whether each equilibrium point is stable or unstable. Sketch the potential energy and label the equilibrium points.505
- Q1. a. Distinguish between homogeneous and non-homogeneous equation. b.Find the work done in moving an object along a straight line from (3, 2, -1) to (2, -1, 4) in a forcefield given by F = 4i – 3j + 2k .Computation. 46 J of work is required to stretch an ideal spring from 1.5 m beyond its rest length to 3.1 m beyond its rest length. Calculate its spring constant, k. k N/m Record your numerical answer below assuming three significant figures. Remember to include a "-" if necessary. (C ^63 10:51 PM 10/23/2022 X ¦A crate with mass m = 33.3 kg being pushed up an incline that makes an angle φ = 22.7 degrees with horizontal. The pushing force is horizontal, with magnitude P, and the coefficient of kinetic friction between the crate and the incline is μ = 0.358. Consider the work done on the crate as it moves a distance d = 5.32 m at constant speed. a. What is work done by the pushing force, in joules? b. What is the work done by friction, in joules? c. What is the work done by gravity, in joules? d. What is the net work, in joules?
- a. Calculate the work done (in J) on a 1550 kg elevator car by its cable to lift it 39.5 m at constant speed, assuming friction averages 135 N. b. What is the work done (in J) on the lift by the gravitational force in this process? c. What is the total work done (in J) on the lift?An object of mass m can only move on the +z axis. It is subjected to a force in the +z direction given by F(x) = the origin. a. How much work does this force do if the object moves from z = a b. If at a the block had an initial velocity of magnitude vo in the +z direction, what is its velocity at b if no other force is acting on the object? am where a is a constant and z is the distance from to z = b?X Problem 1. An NFL punter punts a 0.02 kg football 100 meters into the air. A. What is the initial potential energy of the ball when it's at its peak? 0.02 x 9.8 x 100 = 19.6 j What is its final kinetic energy before it hits the ground? 1 o add speaker notes B. C. What is the velocity of the ball before it hits the ground? در نگاه U EVA
- 1. Calculate the work done on the suitcase by F→. Express your answer with the appropriate units. 2. Calculate the work done on the suitcase by the gravitational force. Express your answer with the appropriate units. 3.Calculate the work done on the suitcase by the normal force. Express your answer with the appropriate units. 4. Calculate the work done on the suitcase by the friction force. Express your answer with the appropriate units. 5. Calculate the total work done on the suitcase. Express your answer with the appropriate units. 6. If the speed of the suitcase is zero at the bottom of the ramp, what is its speed after it has traveled 3.90 mm along the ramp? Express your answer with the appropriate units.You push a box up a ramp (friction between the box and the ramp is not negligible). Call the initial state when you begin to push the box. Call the final state after you have pushed the box up the ramp a distance of 0.5 m and it is moving with a speed of 2 m/s For which of the following systems does the energy remain constant?A. System: box + ramp + Earth + youB. System: boxC. System: box + ramp + EarthD. System: youE. System: box + rampF. None of the above. Two cars are driving down the road. They notice that they are going to crash, so both drivers slam on the brakes. The cars skid, but still collide. The cars stick together and eventually slide to a stop. Call the initial state just before the drivers apply the brakes and the final state just after the collision had occurred. Treat this situation as realistically as possible. For which of the following systems does the energy remain constant?A. System: both carsB. System: both cars + the groundC. System: the second carD. System:…2. A 3.00 kg object is initially at rest on a horizontal surface. An applied force acts on the object in the +x-direction. Assume there is friction in the system as well. The Net Work done on the object is 50.0 J over a distance of 7.00 m. a) What is the object's Change in Kinetic Energy? Do Not Overthink this! b) What Net Force acted on this object?