velocity (m/s) x-position (m) F →→→→x A varying force causes the velocity of a 8 kg particle to vary with position as: v = 6 x + 15 where v is in m/s and x is in meters. Determine the magnitude of the force in N when the velocity v = 6 m/s.
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- Suppose the roller-coaster car in the figure passes 32 m/ Part A 2 point 1 with a speed of 1.30 m/s. V2 3 4 μA If the average force of friction is equal to 0.15 of its weight, with what speed will it reach point 2? The distance traveled is 41 m. Value Units Express your answer to two significant figures and include the appropriate units. 26 m 14 m B ?A 1090 kg boat is traveling at 92 km/h when its engine is shut off. The magnitude of the frictional force ?→?f→k between boat and water is proportional to the speed v of the boat: fk = 85v, where v is in meters per second and fk is in newtons. Find the time required for the boat to slow to 46 km/h.A 500 g particle moving along the x-axis experiences the force shown in (Figure 1). The particle's velocity is 9.0 m/s at x = 0 m. Figure Fx (N) 15 10- 5- 0 0 T 1 2 3 x (m) 1 of 1 Part A What is its velocity at x = 3 m? Express your answer with the appropriate units. ► View Available Hint(s) V = Submit μA Value Provide Feedback Units ?
- A 47 kg skater is standing still in front of a wall. By pushing against the wall she propels herself backwards with a velocity of -1.1 m/s. Her hands are in contact with the wall for 1 seconds. Ignoring friction and wind resistance, find the average force she exerts on the wall? FaverageIf a 2 kg object is initially at rest on a frictionless, horizontal surface and subjected to a 13.7 N force in the positive x-direction over a distance of 3.25 meters, what will the object’s final speed be? Assume the answer in in m/s.The force F~ acting on the ball in the above figure is a constant. When the ball is released fromrest, it swings upward until it is in equilibrium at height H from its initial release point. Ifm = 300 g, L = 80.0 cm, and F = 10 N, determine H.
- Current Attempt in Progress The figure shows a cold package of hot dogs sliding rightward across a frictionless floor through a distance d = 22.0 cm while three forces act on the package. Two of them are horizontal and have the magnitudes F₁ = 8.0 N and F₂ = 2.0 N; the third is angled down by = 60.0° and has the magnitude F3 = 7.0 N. (a) For the 22.0 cm displacement, what is the net work done on the package by the three applied forces, the gravitational force on the package, and the normal force on the package? (b) If the package has a mass of 4.0 kg and an initial kinetic energy of 0, what is its speed (in m/s) at the end of the displacement? (a) Number i (b) Number Units Units Hot Dogs Ve F F dA horizontal force of 80.0 N is applied to a 5.00 kg block as the block slides a distance of 0.800 m along a horizontal floor. The coefficient of kinetic friction between the floor and the block is 0.500. If the block is initially at rest, how fast is it moving at the end of the displacement?Two boxes, Box A and Box B, are given an initial push and start moving at equal speed along a level, frictionless surface. The Box B has twice the mass of Box A. They both slide up the same frictionless incline plane. Which box rises to a greater height? Group of answer choices A) Box A rises to the greater height because it weighs less. B)The two objects rise to the same height. C) Box B rises to the greater height because it contains more mass. D) Box A rises to the greater height because it possesses a smaller amount of kinetic energy. E) Box B rises to the greater height because it possesses a larger amount of kinetic energy.
- vo t = 0 t = 3.5 s vo = (2.5i + 3.5j) m/s i = (-2.51) m/s The velocity of a 3.0-kg object is shown at two times. What was the magnitude of the average force exerted on the object between t= 0 and t = 3.5s? O 1.74 N O 6.26 N O 14.7 N O 3.23 N O 0.845 NAn electron with a speed of 1.3 × 107 m/s moves horizontally into a region where a constant vertical force of 4.9 × 10-¹6 N acts on it. The mass of the electron is 9.11 × 10-³1 kg. Determine the vertical distance the electron is deflected during the time it has moved 28 mm horizontally. Number UnitsProblem 5: The force required to compress a non-standard spring varies as the spring is compressed, as shown by the plot of force vs displacement in the figure. The distances in the figure are x = 15 cm, x2 = 45 cm, x3 = 65 cm, and x4 = 95 cm, and the forces are F1 = 140 N and F2 = -55 N. X3 X4 X X