In the Figure shown below, a small ball of mass m1=0 and a block of mass m 2kg are connected by a light string passing ov er a light smooth pulley. The block lies on a smooth inclined plane of angle 0–53°. Given g-10 ms2. The magnitu de of the acceleration of the block in ms2 equals
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- cht3 8, A ball with a mass of 0.250 kg is tied to a weak string with a breaking strength of 20.0 N. It is spun in a horizontal circle on a tabletop in a circle of radius 0.950 m. At what speed will the string break?Pls help ASAPCrates A and B have equal mass. Crate A is at rest on an incline that makes and angle of theta = 22.22 degrees horizontal, while crate B is at rest on a horizontal surface. Write an expression for the ratio fo the normal forces, A to B in terms of theta?
- Consider mass m = 5kg placed on a ramp which makes an angle 40◦with respect to the x axis. The coefficient of static friction betweenramp and the mass is 0.8 and the coefficient kinetic friction betweenthe mass and the ramp is 0.7. (a) Does the mass move down the ramp? (b) Find the magnitude and the direction of the friction. (c) If we want to change the answer to part a) by adjusting the mass. Should we use a heavier mass or lighter mass, or it is just impossible to change the answer to a) by changing the mass. Ananswer with no explanation will recieve no credit.An object of mass m is being affected by the force F = kix, Wwhere k is a positive constant. The object leaves the origin with a speed x, at time t= 0. Find x(t).The washer launched on the ice surface with a speed of v = 30 m / s stopped after a time t = 50 s. Determine the force of resistance to movement and the coefficient of friction μ, if the mass of the washer m = 500 g.
- The boy of mass 47.3 kg is sliding down the spiral slide at a constant speed such that his position, measured from the top of the chute, has components r = 1.73 m, 0 = (0.71) rad, and z = (-0.5) m, where t is in seconds, Determine the magnitude of the force which the slide exerts on him at the instant t= 2 s. Neglect the size of the boy. O OA toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The 5.60-kg puck has a velocity of 2.00î m/s at one instant. Eight seconds later, its velocity is (6.00î + 6.0ĵ) m/s. (a) Assuming the rocket engine exerts a constant horizontal force, find the components of the force. (i+j) (b) Find its magnitude.B of mass Car A of mass m is driving with a speed 2v on a road with radius of curvature R. Car 2m is driving with a speed v on the same road. Assume that the only force in the normal direction is the force of friction. By what factor does the required force of friction vary from car A to car B so that the cars do ot slide out?
- A 2-kg hanging mass (m,) is connected by a string over a pulley to a 20-kg block (m,) that is sliding on a 30° fixed inclined plane (see the figure below). If the pulley's mass and the mass of the string are negligible, and all surfaces are frictionless, the magnitude of the acceleration (in m/s?) of the moving system is: A. 7.14 В. 9.8 С. 5.93 D. 3.56 E. 0.48A toy rocket engine is securely fastened to a large puck that can glide with negligible friction over a horizontal surface, taken as the xy plane. The 5.40-kg puck has a velocity of 1.20l m/s at one instant. Elght seconds later, its velocity is (6.0oi+ 8.0) m/s. (a) Assuming the rocket engine exerts a constant horizontal force, find the components of the force. 3375 (b) Find its magnitude. 527Figure 1 В А Three blocks, labeled A, B, and C, are connected by essentially massless strings that run over essentially massless and frictionless pulleys (as shown in Figure A above). Block A hangs straight down. The string from block A connects to block B which is sliding up and to the left along an inclined plane. The plane is inclined at an angle of theta = 0 = 52 degrees away from vertical. The coefficient of kinetic friction between block B and the plane is 0.38. Block B is connected by a different string to block C which hangs straight down. Block A has a mass of 4.1 kg. Block B has a mass of 3.7 kg. Block C has a mass of 2.5 kg. Block A is moving down and block C is moving up (the strings do not stretch). The only significant forces acting on the blocks are friction acting on block B, normal forces, tension forces, and gravity (with g = 9.81 m/s²). Calculate the %3D acceleration (in units of meters per second squared) of block A. For block A, a downward acceleration is…