A wedge of mass m1 is firmly attached tothetop of a scale, as shown in the figure. The inclined surface ofthewedge makes an angle Î¸ with the horizontal. Now, a block ofmassm2 is placed on the inclined surface of the wedge and allowedtoaccelerate without friction down the slope. a) show that thereadingon the scale while the block slides is (m1+m2 cos^2Î¸)g (also foundin figure).
b) Explain why the reading on the scale is less than(m1+m2)g.
c) Show that the expression in part (a) gives the expectedresultsfor Î¸=0 and Î¸=90 degrees.

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Nelly StrackeLv2

5 May 2019

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1. A block is placed on a plane whose angle of inclination is 30˚. The coefficients of static and kinetic friction for the block on the inclined plane are both 0.2. The block
(A) remains stationary on the inclined plane.
(B) accelerates down the inclined plane.
(C) travels down the inclined plane at a constant velocity.
(D) travels up the inclined plane at a constant velocity.
(E) accelerates up the inclined plane.

2. An object with a mass of 5.5 kg is allowed to slide from rest down an inclined plane. The plane makes an angle of 30˚ with the horizontal and is 72 m long. The coefficient of friction between the plane and the object is 0.35. The speed of the object at the bottom of the plane is?

3. A 5-kg object slides down a frictionless surface inclined at an angle of 30˚ from the horizontal. The total distance moved by the object along the plane is 10 meters. The work done on the object by the normal force of the surface is?

4. A mass m = 2.5 kg is sliding along a frictionless table with initial speed v as shown in the figure. It strikes a coiled spring that has a force constant k = 500 N/m and
compresses it a distance x=5.0 cm. The initial speed v of the block was..?

5. The graph shows how the position of a particle depends on time. Which choice is closest to the instantaneous speed of the particle at t = 3s?
(A) 0.40 m/s
(B) 0.67 m/s
(C) 0.75 m/s
(D) 1.50 m/s
(E) 2.22 m/s

6. Calculate the work done by a force, F = 2x i, along the
path (0, 0) -> P₁(2, 0) -> P2(2, 2).

turquoisearmadillo973

A block of mass m rests against a spring with a spring constant of k on a rough inclined plane which makes an angle of θ degrees with the horizontal. The block compresses the spring a distance d from its neutral position, and friction is preventing the block from moving up the ramp. Use Fsp as the spring force, Fs for the force of static friction, and Fk as the force of kinetic friction. Set your coordinates to have the x-axis along the surface of the plane, with up the plane as positive, and the y-axis normal to the plane, without as positive. Denoting the coefficient of static friction by us, Write an expression for the sum of the forces in the x-direction just before the block begins to slide up the inclined plane. Use defined quantities and g in your expression.