7. A force parallel to the x-axis acts on a particle moving along the x-axis. The force produces a potential energy U(x) given by U(x) = ax² + ßx¹ where a = -0.70 J/m² 1.50 J/m². What is the force, magnitude and direction, when the particle is at x = 1.5 m? At what positions would the force be zero? and ß =
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- 1. A box of mass m,, initially at rest, is acted on by a single position and time-dependent force y F(x) = Fo sin(b?t) £ + Fo e Viŷ with b, Fo, y, 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 7 = õ to i; = xf& + Y1ŷ.1. A force of F = 5.6 Ni + 9.7 Nj + 7.9 Nk is applied to a particle in space to move it at a distance r = 2.6mi - 5.8mj - 9.7mk . Determine the work done by force.Q14. A 2 kg mass is projected down a rough circular track (R = 2m) as shown. The speed of the mass at point A is 4 m/s, and at point B, it is 6 m/s. How much work is done on the mass between A and B by the force of friction?
- A. Find friction. B. Find Gravity.1 Name: I I. A person's heart and head are 1.3 m and 1.8 m above the feet, repectively. Determine the potential energy of 0.5 kg of blood in the heart relative to (a) the feet, (b) the head. 1 I I I I I | I I I I I IAn object is placed to a shelf from the ground which is 1.8 m higher. find out how much work is done by you. If the same object falls to the ground, how much work is done by gravity? Mass of the object is 200 g.