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Please provide Handwritten answer.
A particle moves in a plane according to the following relationship: Find the force acting on the particleF(r)


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- A small boat is being pushed up a ramp into the back of a flatbed truck. The boat is sitting at the top of the ramp, which is located 1.4 m above the ground. The boaters think the boat is safe there, and begin to walkaway. However, they have neglected the thin layer of ice that has formed on the ramp, which is angled at 30◦ up from the ground. Neglecting the friction between the boat and the ramp, how long do the boaters havebefore the boat reaches the bottom of the ramp?A beam is supported by a roller at A and a pin at B. Determine the reactions at A and B when P = 15 kips. Neglect the weight of the beam.A particle of mass m = 1.50 kg moves along one dimension and is subject to a single force, whose potential energy function is given by U(x) = x4 – 2x2 + 4 (where U is measured in Joules and x is measured in meters). At the moment when the particle is located at position x = 1.50 m, its speed is v = 2.50 m/s. %3D
- A skier of mass 70 kg skis straight down a 11° slope at constant velocity. Draw a free-body diagram of the skier with the various external forces acting on her. Include the force of air resistance, which is directed opposite the velocity. (Do this on paper. Your instructor may ask you to turn in this work.) (a) Find the value of the normal force.(b) The force of air resistance has a magnitude of 79 N. Find the frictional force on the skis.(c) What is the coefficient of kinetic friction?Problem 4: Starting from the origin at time t = 0, a particle is given an initial velocity vo along the +x axis. The particle's motion can be described by v(x) = vo(1kx)¹/3 where k is a positive constant. (a) Determine the retarding force F(v) as a function of velocity. [Note: Don't write your final answer in the form F(x, v)! You know v(r), so make sure your expression contains no explicit dependence on z.] (b) Determine x(t), the position of the particle as a function of time. (c) Find the time and place where the particle comes instantaneously to rest, tƒ and xƒ. For each part, check your result for dimensional consistency and limiting-case behavior.A toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The 5.60-kg puck has a velocity of 2.00î m/s at one instant. Eight seconds later, its velocity is (6.00î + 6.0ĵ) m/s. (a) Assuming the rocket engine exerts a constant horizontal force, find the components of the force. (i+j) (b) Find its magnitude.