5) A chain hangs over a smooth peg, 8 meters being on one side and 12 meters on the other. Find the time required for it to slide off (a) neglecting friction and (b) if friction is eqúal to the weight of 1 meter of chain.

(c) An atmospheric drag force with magnitude FD = Dv², where u is speed, acts on a falling 300 mg raindrop that reaches a terminal velocity of 11 m/s. (a) Show that the SI units of D are kg/m. (b) Find the value of D.

(1) A skier of mass m slides up a hill for a distance d along surface coved with snow till it shops. The motion on the hill is resisted by a force f = pv². Where 0 is the angle of inclination of the hill. The equation of motion is written as

Write Newton's laws for a static system (1) EF, = mg sin 0 – µ̟n = 0 in component form. The gravity force has two components. (2) EF, = n - mg cos 0 = 0 Rearrange Equation (2) to get an n = mg cos e expression for the normal force n. Substitute the expression for n into EF, = mg sin 0 – µ̟mgcos 0 = 0 → tan 0 =µ, Equation (1) and solve for tan 0. Apply the inverse tangent function to tan 0 = 0.350 → 0 = tan 1 (0.350) = 19.3° get the answer. LEARN MORE REMARKS It's interesting that the final result depends only on the coefficient of static friction. Notice also how similar Equations (1) and (2) are to the equations developed in previous problems. Recognizing such patterns is key to solving problems successfully. QUESTION A larger static friction constant would result in a: (Select all that apply.) O larger component of normal force at the maximum angle. O larger component of gravitational force along the ramp at the maximum angle. smaller component of gravitational force along the ramp…

. A 50 kg box lies on top of a 30° inclined plane, what is the force exerted by the plane on the box? (Complete solution)

1) In Figure, a block with mass m = 1 kg is released from height h, friction until it reaches the path with first length d,= 3 m, where the friction force between B and C is f, = 9 N, and until it reaches the path, where the friction force between E and F is f, = 7 N. The height is h, = 1 m, and second horizontal length is d,= 1 m. The block continues its motion after the point F. (a) Find the velocity at the point A. (b) Find the velocity at the point D. (c) Find the height h if the velocity of m is v= 9 m/s at the point F.(sin45=0.7 g=9.8 m/s²) 11 m. Its path is without 1 m (F d,=1 m h h, = 11 m D 45° E d,=3 m h,=1 m A В

One end of a light spring with spring constant k, is attached to the ceiling. A second light spring is attached to the lower end, with spring constant k,. An object of mass m is attached to the lower end of the second spring. (a) By how much does the pair of springs stretch? (Use the following as necessary: k,, k,, m, and g, the gravitational acceleration.) Xtotal = (b) What is the effective spring constant of the spring system? (Use the following as necessary: k,, k,, m, and g, the gravitational acceleration.) keff = (c) What If? Two identical light springs with spring constant k, are now individually hung vertically from the ceiling and attached at each end of a symmetric object, such as a rectangular block with uniform mass density. In this case, with the springs next to each other, we describe them as being in parallel. Find the effective spring constant of the pair of springs as a system in this situation in terms of k2. (Use the following as necessary: ka, M, the mass of the…

Three forces acting on an object are given by -(2.15i + 6.95j) N, 2- (5.30 - 1.2) N, and F- ( 49) N. The object experiences an acceleration of magnitude 3.85 m/s?. (a) What is the direction of the acceleration? (counterclockwise from the axis) (b) what is the mass of the object? ko (c) If the object is initially at rest, what is its speed after 15.0 s7 m/s (d) What.are the velocity compbnents of the object after 15.0 s? (Let the velocity be denoted by v.) ) m/s

A man was originally walking at 1.5 m/s and then reaches a speed of 8.1 m/s in 2.4 s. He estimated that his coefficient of friction was 0.30. Was it above or below this value?