A box of mass m is on an incline with = 30°. It is connected to a massless rope and frictionless pulley where another box of mass M is suspended as shown. There is friction between the incline and mass m: the co-efficient of static friction is and the co-efficient of kinetic friction is 3√3. (a) Draw a free-body diagram for each box. √3 m |M| (b) Suppose the box on the incline is not moving, what is the maximum mass the hanging box M could be? What would this be in the case of no friction?

Many birds can attain very high speeds when diving. Using radar, scientists measured the altitude of a barn swallow in a vertical dive; it dropped 208 m in 3.0 s. The mass of the swallow was estimated to be 0.018 kg, and its cross-section area as 5.6 x 10-4 m2. What was the drag coefficient for this swallow as it dove?

i never practiced a problem like this in chapter six and need some help working through it as i’m rusty on the concepts of 6

A 1,500-N crate is being pushed across a level floor at a constant speed by a force F of 370 N at an angle of 20.0° below the horizontal, as shown in the figure a below. F 20.0° / b 20.0° (a) What is the coefficient of kinetic friction between the crate and the floor? (Enter your answer to at least three decimal places.) 0.220 X Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error.

A warehouse worker pushes a box with a mass of 11.6 kg in a horizontal plane at a constant speed of 3.4 m / s. Calculate the horizontal force that the worker must apply in order to keep this motion, if the kinetic coefficient of friction between the box and the surface is µ = 0.21.

Three objects are connected as shown in the figure.  The strings and frictionless pulleys have negligible masses.  The coefficient of kinetic friction is 0.25 and static friction is 0.30.  Block A has a mass of 3 kg and block B has a mass of 4 kg.  a) What is the maximum mass block C can have before block B will start to move?  b) If block C has a mass of 7 kg. and was 1 m above the ground, how long would it take block C to hit the ground starting from rest?

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?

A ball with mass 0.85 kg is thrown upward with initial velocity 30 m/s from the roof of a building 40 m high. Assume there is a force due to v² directed opposite to the velocity, air resistance of magnitude 1325 where the velocity v is measured in m/s. NOTE: Use g=9.8 m/s² as the acceleration due to gravity. Round your answers to 2 decimal places. a) Find the maximum height above the ground that the ball reaches. Height: m b) Find the time that the ball hits the ground. Time: seconds c) Use a graphing utility to plot the graphs of velocity and position versus time.

A block with a mass of 2.0 kg is released from rest and slides down a long, smooth ramp. The incline of the ramp is 41.0 degrees, and the coefficient of kinetic friction is  ?=0.259 How far will the block travel in 1.001.00 s, assuming it does not reach the end of the ramp?

You are helping a friend move. Consider two boxes which have masses in factors ofm; one of mass 6m and the other of mass 7m. The coefficient of static friction betweenthe two boxes is very large. The coefficient of static friction between the boxes and thefloor is 0.7 and the coefficient of kinetic friction is 0.1. You place the large box on top ofthe small box and slide them down a 1m high ramp out of the truck. The ramp isfrictionless because it is covered with wheels. The box slides down this ramp smoothlyonto the horizontal grass with coefficient of kinetic friction is 0.142857142857143. Howfar (in meters) will the boxes slide before they stop?