A particle moving in two dimensions is subject to the conservative force F = Fgi+Fyj. Fen that Fr = xe, what can you say about F,?
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Q: Smouth swface F2.50m he 3.00m E; Ei + WNC A 34.2 kg block slides with a velocity of 10.22 m/s to the…
A: Frictional force on horizontal = μ mg = 0.325 ×34.2 × 9.8 = 108.93 N
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- = -3x N, where x is in meters. The velocity of the body at The only force acting on a 3.8 kg body as it moves along the positive x axis has an x component Fx x = 2.5 m is 11 m/s. (a) What is the velocity of the body at x = 4.2 m? (b) At what positive value of x will the body have a velocity of 3.4 m/s? (a) Number Units (b) Number UnitsThe only force acting on a 3.6 kg body as it moves along the positive x axis has an x component Fx = - 5x N, where x is in meters. The velocity of the body at x = 1.8 m is 9.0 m/s. (a) What is the velocity of the body at x = 4.1 m? (b) At what positive value of x will the body have a velocity of 2.5 m/s?A 1.3 kg particle moving along the x-axis experiences the force shown in the figure. The particle's velocity is 4.0 m/s at x=0m. What is its velocity at x=2m? What is its velocity at x=4m?
- In the figure, a runaway truck with failed brakes is moving downgrade at 109 km/h just before the driver steers the truck up a frictionless emergency escape ramp with an inclination of 0 = 17°. The truck's mass is 1.3 x 104 kg. (a) What minimum length Lmust the ramp have if the truck is to stop (momentarily) along it? (Assume the truck is a particle, and justify that assumption.) Does the minimum length Lincrease, decrease, or remain the same if (b) the truck's mass is decreased and (c) its speed is decreased? (a) Number i Units (b) (c)rough surfice Smath swace leeeeed 2.50m he 3.00m E; Ei + WNc A 34.2 kg block slides with a velocity of 10.22 m/s to the right on a frictionless surface (as shown in the figure above). The block slides up a slope to a height of 3.00 m and then slides across a 2.50 m long rough surface with a coefficient of kinetic friction equal to 0.325. The block continues to travel to the right and bumps into a massless spring with a spring constant (k) equal to 2320 N/m. a) How much does the spring get compressed by the block with respect to its equilibrium length? Please answer with a positive number in units of metres, with 3 sig figs. Start with conservation of energy: E, = E; + WNC , and show all steps. b) What is the potential energy stored by the spring when the mass comes to a stop? Please show the symbolic equation and then "plug in the numbers" to give a numerical answer in units of joules with 3 sig figs. c) What happens to the potential energy stored in the spring after the block stops…You decide to launch a rockof mass m1 using a tube containing a spring of spring constant k. When the spring is at equilibrium, it fills the entire tube. To launch a rock, you push it into the tube, compressing the spring a distance d, at which point a locking mechanism holds the spring(and the rock) in place. When the lockis released, the spring pushes the rock to the end of the tube where it will be launched into the air. The coefficient of kinetic friction between the rock and the inside surface of the tube is given by μk. You setup the launcher at an angle q above the horizontal with the spring end buried such that when the spring is compressed and locked, the rock is at ground level. a)Find the work done on the rock by non-conservative forces as it moves from the point of release to the end of the tube. Express your answer in terms of μk, m1, q, d, and any necessaryconstants. b) Find the velocity of the rockvfas it exits the launch tube in terms of μk, k, m1, q, d, and any…