The figure shows a box of dirty money (mass m₁ = 3.5 kg) on a frictionless plane inclined at angle 0₁ = 34°. The box is connected via a cord of negligible mass to a box of laundered money (mass m₂ = 1.6 kg) on a frictionless plane inclined at angle 0₂ = 68°. The pulley is frictionless and has negligible mass. What is the tension in the cord? Number i Units 0₁ m2²1 m₂

An antelope is being pulled by two forces whose vector-component expressions are: F1 = -3.5Ni + 3.4Nj + 3.9Nk F2 = 3Ni + 2.6Nj + -1.5Nk What is the angle (in degrees) between these two vectors?

Block A in the figure has mass ma = 4.30 kg, and block B has mass mg = 2.20 kg. The coefficient of kinetic friction between block B and the horizontal plane is Hk = 0.520. The inclined plane is frictionless and at angle 0 = 31.0°. The pulley serves only to change the direction of the cord connecting the blocks. The cord has negligible mass. Find (a) the tension in the cord and (b) the magnitude of the acceleration of the blocks. Frictionless, massless pulley (a) Number i Units (b) Number i Units

While an elevator of mass 930 kg moves downward, the tension in the supporting cable is a constant 7730 N. Between t = 0 and t = 4.00 s, the elevator’s displacement is 5.00 m downward. What is the elevator’s speed at t = 4.00 s?

Bob is pulling a box of his toys of mass 15.0 kg along a rough horizontal surface for a distance of 6.00 m. The tension force in the rope is 58.0 N and the angle is 30° with respect to the horizontal. The frictional force on the box is 18.0 N. Match the answers with questions. (Hint: Clearly draw the force vector and displacement vector for all cases.) What is the angle between the tension force vector and the displacement vector? A. 90° v What is the angle between the friction force vector and the displacement vector? B. none of the given v What is the angle between the normal force vector and the displacement vector? C. 60° D. 150° Е. 0° F. 210° G. 180° Н. 30°

A 4 kg block is sliding down a vertical wall while being pushed by an external force as shown in the figure. What magnitude of the external force (in N) would be required for the block to move down the wall at constant speed if the coefficient of kinetic friction between the wall and the block is u = 0.20? 4 kg 六F 300 36.98

A block of mass 50.0 kg slides at uniform speed down a plane inclined at 12.0° to the horizontal. What is the coefficient of friction between the surfaces in contact? What force parallel to the plane is required to move the block at uniform speed up the plane?

Two crates of fruit  are released from the top of a ramp inclined at 30 degrees from the horizontal and 4.5 meter long. The two crates consist of  an apple crate of mass 20 kg that is placed in front of a watermelon crate of mass 80 kg.  The apple crate has a coefficient of friction of 0.20 while the watermelon crate has a coefficient of friction of 0.15. How long does it take the apple crate to reach the bottom of the incline if it needs to travel a distance of 4.5 meters?

Students are performing an experiment with the setup shown above, where a block of mass M sits on a horizontal table. The coefficient of kinetic friction between the block and the table is μk. The block is connected to a hanging object over a pulley. The pulley has negligible mass and friction. The string connecting the two is very light and does not stretch. The students add mass to the hanging object so that its mass is m, where m < M, and the block-hanging object system is released from rest. The hanging object falls for a distance h, at which point it collides with the ground and comes to rest. The block on the table keeps sliding and travels a total distance d before coming to rest. It does not reach the pulley, and d > h. A student creates a data table (see image) for the net force exerted on the block during the speeding up and slowing down portions of the experiment. (d) Does the block of mass M spend more time speeding up or slowing down? Justify your answer.

A wracking ball is suspended below two cables each at an angle with the horizontal. The left cable has tension T1 and angle 38 degrees with the horizontal. The right cable has tension T2 and angle 27 degrees with the horizontal. The Wracking ball has mass 200 kg. Find the magnitude of tension T1. T2 1