Consider a particle sliding over a frictionless hemisphere of Radius R. Find the force of constraint in cartesian coordinates. Take the constraint condition to be: n = Vx² + y² – R
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- A particle with mass m = 10 mg travels from the origin with initial velocity = 50 through a S uniform force field ♬ = (1002 + 3007) m.N. The particle impacts a vertical screen located at a = = 10 cm. Determine the y-coordinate of the impact location, and the speed of the particle at impact. Yimpact Vimpact = cm m m SThree electrons are located at the vertices of an equilateral triangle with side lengths of d. The electrons at the base of the triangle are stuck in place but the electron at the top is free to move. The mass of an electron is 9.109 *10-31 kg. a) Find the distance d such that the electron located at the top or apex of the triangle is balanced by the repulsive forces of the electrons below it and the gravitational force pulling it down.A particle of mass 25 kg moves in a straight line such that the force (in Newtons) acting on it at time ₺ (in seconds) is given by 225 to +175 + + 200. If at time t = 0 its velocity, v (in ms-¹), is given by v(0) = 14, and its position (in m) is given by (0) = 10, what is the position of the particle at time t? l The position is m.
- A block, initially at rest, has a mass m and sits on a plane inclined at angle theta. It slides a distance d before hitting a spring and compresses the spring by a maximum distance of xf. If the coefficient of kinetic friction between the plane and block is uk, then what is the force constant of the spring?Please circle answersA student of weight 675 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force F→N on the student from the seat is 564 N. (a) What is the magnitude of F→N at the lowest point?
- Find a unit vector which is in the xy plane (no k-component) which is also perpendicular to the force 20i + 30j + 60k N. Please do not use cross product.A student of weight 655 N rides a steadily rotating Ferris wheel (the student sits upright). At the highest point, the magnitude of the normal force FN on the student from the seat is 562 N. (a) What is the magnitude of FN at the lowest point? If the wheel's speed is doubled, what is the magnitude FN at the (b) highest and (c) lowest point?