The figure shows a container of mass m1 = 2.3 kg connected toa block of mass m2 by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 0.64 m/s? across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m2? (a) Number Units

Two constant forces act on an object of mass m = 4.30 kg object moving in the xy plane as shown in the figure below. Force F, is 26.5 N at 35.0°, and force F, is 48.0 N at 150°. At time t = 0, the object is at the origin and has velocity (3.50î + 2.15j) m/s. 150° 35.0° (a) Express the two forces in unit-vector notation. F, - N (b) Find the total force exerted on the object. N (c) Find the object's acceleration. m/s2 Now, consider the instant t = 3.00 s. (d) Find the object's velocity. m/s (e) Find its position. (f) Find its kinetic energy from V½mv2. kJ (g) Find its kinetic energy from 2mv,2 + EF · AF. kJ

Two horizontal forces, P and Q, are acting on a block that is placed on a table. We know that P is directed to the left but the direction of Q is unknown; it could either be directed to the right or to the left. The object moves along the x-axis. Assume there is no friction between the object and the table. Here P = -6.1 N and the mass of the block is 3.8 kg. P (a) What is the magnitudeand direction of Q (in N) when the block moves with constant velocity? (Indicate the direction with the sign of your answer.) 6.1 N (b) What is the magnitude and direction of Q (in N) when the acceleration of the block is +7.5 m/s2. (Indicate the direction with the sign of your answer.) X 22.4 The acceleration given here is due to the net force acting on the object. N (c) Find the magnitude and direction of Q (in N) when the acceleration of the block is -7.5 m/s2. (Indicate the direction with the sign of your answer.) X -34.6 What is the direction of motion of the object when the acceleration is…

A sphere of mass 1.5 × 10-4 kg is suspended from a cord.

An empty pail and a 34 kg wooden mass are tied together by a very light string which passes over a massless and frictionless pulley. There is a force of friction between the mass and the table and there is a coefficient of static friction of 0.76 and a coefficient of kinetic friction of 0.46. Water is added to the bucket one drop at a time until the system just begins to move. When the system just begins to move, what will the acceleration be? (Answer to 1 decimal place, use g = 9.8m/s2)

(a) A flatbed truck moving at 28 m/s carries a steel girder that rests on its wooden floor. The girder is not strapped down, in violation with USDOT regulations. If the coefficient of static friction between steel and wood is 0.52, what is the minimum distance over which the truck can come to a stop without the girder sliding toward the cab of the truck? (answer: 77 m) (b) What is the minimum time over which the truck can accelerate forward from 0 m/s to 28 m/s with a constant acceleration without the girder sliding off the back? (answer: 5.5 s) FNET = ma fs.max = μsn W = mg v² = v₁² + 2aAx V = Vo+ at g=9.81 m/s²

A stacked pair of books with masses m1= 2.0 kg (bottom book) and m2 = 1.5 kg (top book) are tossed onto a table. The books strike the table with no vertical velocity and their common horizontal speed is ?o = 0.75 m/s. The kinetic friction coefficient between the bottom book and the table is ?k1=0.45; the kinetic and static friction coefficients between the two books are ?k2=0.3 and ?s2= 0.4. Find the final horizontal position of each book relative to the spot where the stack hits the table.

Tarzan, who weighs 777 N, swings from a cliff at the end of a 16.5 m vine that hangs from a high tree limb and initially makes an angle of 21.9° with the vertical. Assume that an x axis points horizontally away from the cliff edge and a y axis extends upward. Immediately after Tarzan steps off the cliff, the tension in the vine is 721 N. Just then, what are (a) the force from the vine on Tarzan in unit-vector notation, and (b) the net force acting on Tarzan in unit-vector notation? What are (c) the magnitude and (d) the direction (measured counterclockwise from the positive x-axis) of the net force acting on Tarzan? What are (e) the magnitude and (f) the direction of Tarzan's acceleration just then?

The figure shows a container of mass m₁ = 1.7 kg connected to a block of mass m₂ by a cord looped around a frictionless pulley. The cord and pulley have negligible mass. When the container is released from rest, it accelerates at 1.0 m/s² across the horizontal frictionless surface. What are (a) the tension in the cord and (b) mass m₂? (a) Number (b) Number i Units Units m₁ mq >

a 1.34 kg ball is connected by means of two massless strings, each of length L = 1.70 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.70 m and are taut. The tension in the upper string is 35 N. What are the (a) tension in the lower string, (b) magnitude of the net force  on the ball, and (c) speed of the ball? (d) What is the direction of the net force?