Part A A series of weights connected by very light cords are given an upward acceleration of 4.00 m/s2 by a pull P, as shown in the figure. A, B, and C are the tensions in the connecting cords. The SMALLEST A Pull P B A 5.00 kg COLN 10.00 kg 15.00 kg 20.00 kg free tensions A i dosest to 614PM O 621 N 276 N. O 196 N 483 N 80.0 N 15.00 kg 20.00 kg

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5. A block of weight w = 100 N is suspended from a rope tied to two other ropes at point O. One rope is horizontally attached to a wall and the other is fastened to the ceiling. The angle between ceiling and the rope is 60°. Assume the weights of the ropes and the knot are negligible. Calculate the tension in each rope (T₁, T2, and T3). I T2 0 T3 W 60° E

I Review Part A Find the tension in the string connecting mj and m2. Assume the table is frictionless and the masses move freely. (Figure 1) Express your answer using two significant figures. Υ ΑΣΦ T = Submit Request Answer Figure 1 of 1 Part B m, = 1.0 kg m2 = 2.0 kg Find the tension in the string connecting m2 and m3. Express your answer using two significant figures. m, = 3.0 kg 0 ΑΣφ T2 = Pearson

Suppose a 66.5 kg gymnast climbs a rope. What is the tension in the rope if she climbs at a constant speed? tension: N What is the tension in the rope if she accelerates upward at a rate of 1.65 m/s? tension: N

A force in the +x-direction with magnitude F(x)= 18.0 N - (0.530 N/m) x is applied to a 6.40 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F(x) is the only horizontal force on the box. For related problemsolving tips and strategies, you may want to view a Video Tutor Solution of Motion with a varying force. ▼ Part A If the box is initially at rest at x = 0, what is its speed after it has traveled 17.0 m? Express your answer with the appropriate units. V = μA Value Submit Units Previous Answers Request Answer ? X Incorrect; Try Again; 5 attempts remaining

An object of mass m is constrained to move on a horizontal frictionless circular track of radius m starts fIrom rest at time t = 0 and thereafter is puushed by an external force with constant magnitude F, always horizontal and tangent to the track. The horizontal component of the force exerted by the track on the object is given by А. О В. F C. Ft/mR D. Ft2/mR E. F/mg ans: D

A ladder of weight W stands on a rough floor and rests against a frictionless wall, illustrated above. It is only stable if the angle between the ladder and the ground is greater than theta (theta > 60 degree). a. Find the coefficient of static friction between the floor and the ladder. b. A child of weight 4W places the ladder against the wall at angle 70 degree(theta = 70 degree). Calculate how far up the ladder it is safe for the child to climb.

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A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable.   a. What is the distance d between the mounting points of the vines at the top? b. Draw a free body diagram of the monkey and indicate all forces.