A 50.0-kg block and a 100-kg block are connected by a string as shown in the figure below. The pulley is frictionless and of negligible mass. The coefficient of kinetic friction between the 50.0-kg block and the incline is µg = 0.250. 50.0 kg 100 kg 37.0° (a) B, what is its speed after it has traveled a distance of 20.0 m to point B. (Assume that the 100-kg block does not reach the ground.) Assuming that the 50.0-kg block starts from rest at point A to point 2.
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- Please ignore my last question. I am sorry. I messed up the problem when I asked before. The correct one is below: An inclined plane makes an angle of 30 degee with the horizontal. (Static friction coefficent of the inclined surface is 0.4 and the kinetic friction coefficent is 0.1) A block which weighs 1 kg must pass through a gate at the bottom of the incline with a velocity of 3.0 m/s. At what distance along the incline must you realease the block?A cart of mass m, = 6.7 kg is on an inclined ramp (ø = 34.1 degrees). It is attached to a string of negligible mass that goes over an ideal pulley. The other end of the string is attached to another block of mass m, = 11.9 kg, as shown below. The wheels on the cart are good enough that friction between the cart and the ramp is negligible. If the blocks are given an initial speed of v, = 9.1 m/s (with m, moving down the plane), what is the common magnitude of the acceleration of the blocks? (in m/s^2)A 1120-kg car is being driven up a 7.03 ° hill. The frictional force is directed opposite to the motion of the car and has a magnitude of 490 N. A force F is applied to the car by the road and propels the car forward. In addition to these two forces, two other forces act on the car: its weight W and the normal force FN directed perpendicular to the road surface. The length of the road up the hill is 281 m. What should be the magnitude of F, in Newtons, so that the net work done by all the forces acting on the car is 188 kJ?
- A wagon with its passenger sits at the top of the hill. The wagon is giving a slight push and rolls 100. m down an incline (10.0° above the horizontal) to the bottom of the hill. What is the wagon’s speed when it reaches the end of the incline. Assume that the retarding force of friction is negligible. Consider the track shown in the figure below. Section AB is a quadrant of a circle of radius r = 2.00 m and is frictionless. From B to C is a horizontal section 3.0 m long with a coefficient of kinetic friction μk = 0.250. The section CD under the spring is frictionless. A block of mass m = 1.00 kg is released from rest at A. After sliding on the track, the block compresses 0.200 m the spring. Determine (using conservation of energy): (a) the speed of the block at point B. (b) the thermal energy (internal energy) produced when the block slips from B to C. (c) the velocity of the block at point C. (d) the stiffness constant k for the spring.A simple pendulum, consisting of a mass of 8.691 kg, is attached to the end of a 3.23 m length of string. If the mass is held out horizontally, and then released from rest, the speed of the mass (in m/s) at the bottom of the swing is:
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