(2) Four dollies (A, B, C and D) on a plane are connected by three ropes, ropes 1, 2 and 3, as shown in the diagram. The rightmost dolly is powered and pulled in the overall rightward direction by a force of magnitude F. The 4 dollies accelerate with the same acceleration. The friction between the ground and the dolly is negligible. At this point, answer the following questions. The rope does not stretch and the mass of the rope is neglected.< 台車D m4 ロープ3 m3 台車C ロープ2 m2 台車B ロープ1 m1 台車A F At this point, increase the strength of the F. Which rope breaks first. The ropes are all of the same strength.< (3) With all four trolleys of the same mass m, establish the equation of motion for each trolley in the right-hand direction of the paper. The right direction of the paper is the x- direction and only the equation of motion in the x-direction is derived. Also, include the tension of the rope between A and B as the tension of the rope between B and C and the tension of the rope between C and…

A skier starts stationary at the top of a 20 m long slope and begins to descend. The skier's acceleration is 0.2 m/s?. At the bottom of the slope the skier glides under a frictional deceleration of 0.1 m/s?. (1) Calculate the speed of the skier at the bottom of the slope. (ii) Calculate how far the skier glides before coming to rest. An athlete of mass 70 kg begins to run, and is observed to have velocity over the first 5 strides of 3.0, 4.2, 5.0, 5.6, and 6.0 m/s. For each stride calculate the net impulse delivered due to the horizontal ground reaction force.

The force acting on a particle is F - (10x – 17) N, where x is in meters. (a) Make a plot of this force versus x from x = 0 to x = 3.00 m. F (N) F (N) 20 50 40 10- 30 0,5 20 1.0 20 25 x (m) 30 -10 10 atx (m) 3.0 0.5 1.0 1.5 2.0 2.5 F (N) F (N) 0,5 1.0 1,5 2.0 2.5 x (m) 30 10 -10 -20 0,5 15 x (m) 30 10 2.5 -30 -10 -40 -50 -20 (b) From your graph, find the net work done by this force on the particle as it moves from x = 0 to x= 2.55 m. (Include the correct sign.)

A frictionless incline is 5.00 m long (the distance from the top of the incline to the bottom, measured along the incline). The vertical distance from the top of the incline to the bottom is 2.26 m. A small block is released from rest at the top of the incline and slides down the incline.    (i) How long does it take the block to reach the ground?

A block of mass m1 =3 kg is on a table and attached to a block of mass m2 =4 kg m2 =4 kg by a mass less string. The coefficient of friction is 0.28 between the table and m1. The system is released from rest. After m2 falls 1.5 m,1.5 m, what is the speed of m2?

25- A ball of mass m is thrown at a height h from the ground with its initial velocity. Ignoring air resistance, what will be the speed of the ball when it is y above the ground?

*13–48. The smooth block B of negligible size has a mass m and rests on the horizontal plane. If the board AC pushes on the block at an angle 0 with a constant acceleration ao. determine the velocity of the block along the board and the distance s the block moves along the board as a function of time t. The block starts from rest when s = 0, 1 = 0.

A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially  with a speed of 15 ms–1. How long does the body take to stop?

6) Z. A thin non-condu cting rod of ma ss m and length L = 60cm, slides frictionl essly at a constant speed V = 0.5 m/s along the rails placed on the surface and at the edges of an inclined plane with the effect of an external force. The rails at the edges of the inclined plane are connected with each other via the rail at the bottom edge of the plane, so the rod and rails forms a rectangular closed loop as seen in the figure. The plane of the rails makes an angle 0 = 55° with the horizontal plane (xz plane). Before sliding, the rod stays at the di stan ce S = 4m measured from the bottom edge of the inclined plane. The inclined plane and the rod are under the effect of a uniform magnetic field given by B = 0.40î + 3ĵ + 0.8k(T). After the rod starts to slide, what will be the magnetic flux passing through the surface formed by the rod, the rails at the edges, and the rail at the bottom edge of the inclined plane at t=4s? A) 1.50 Wb B) 7.53 Wb C) 0.083 Wb D) 0.147 Wb E) 1.67 Wb