Derive an expression for the maximum displacement possible for the block that will allow the block to still remain at rest. Express your answer in terms of MM, kk, μk, μs, and physical constants, as appropriate

a) Given the following ideal Atwood machine in an elevator accelerating down at ae = 4.9 m/s2, with m1 = 10 gram (two nickels) and m2 = 5 gram (one nickel) as shown, what is the tension T in the string in millinewton (mN)? (Hint: the upward arrow on ae is correct and just means use "positive is up" conventions for the elevator itself, so here we have ae = -4.9 m/s2 to be put into Einstein's rule that we discussed.) b) Exact same Atwood machine as the previous problem (two nickels and a nickel in an elevator accelerating down at 4.9 m/s2), but now how much time (s) does it take m1, starting from rest, to fall 25 cm relative to the inside of the elevator? I labeled it a and b because they are connected to each other. Please help, thanks!

(Figure 1) shows a F = 6.4 N force pushing two gliders along an air track. The 170 g spring between the gliders is compressed. Assume the force Facts and the whole system moves in the same direction. The spring does not sag. Figure F A 400 g m B 600 g 1 of 1 Part A How much force does the spring exert on glider A? Express your answer to two significant figures and include the appropriate units. F = Submit Part B F = O Submit Value Request Answer How much force does the spring exert on glider B? Express your answer to two significant figures and include the appropriate units. μA Value Units Request Answer ? Units ?

Please use at least 4 significant figures throughout the entire problem! Also use 9.80m/s2 for the acceleration due to gravity. DO NOT USE 10 M/S2 FOR THE ACCELERATION DUE TO GRAVITY! Thank You.

1. Sam, whose mass is 75 kg, takes off across level snow on his jet-powered skis. The skis have a thrust of 200 N and a coefficient of kinetic friction on snow of 0.10. Unfortunately, the skis run out of fuel after only 10 s. A. What is Sam’s top speed? B. How far has Sam traveled when he finally coasts to a stop?

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With friction, what is the magnitude of the acceleration of the block after it begins to slide down the plane?

The conveyor belt is designed to transport packages of various weights. Each 10-kg package has a coefficient of kinetic friction u. = 0.31. The speed of the conveyor is 4 m/s , and then it suddenly stops. (Figure 1) Part A Determine the distance the package will slide on the belt before coming to rest. Express your answer to three significant figures and include the appropriate units. ? Figure 1 of 1 S = Value Units Submit Request Answer B Provide Feedback

You are in a rocketship in deep space accelerating upwards with acceleration A. At the top of an inclined plane in the rocketship, you place a block of mass m. The length of the incline is L. If you let go of the block, what is the time taken by the block to reach the bottom of the incline? θ is the angle that the incline makes with the horizontal, and you make sure that the incline cannot move. Assume no friction.

Sketch the correct direction of the acceleration vector a⃗ a→ for the system shown in (Figure 1). Sketch the correct direction of the velocity vector v⃗ v→. Select the correct description of a real object for which this is the correct free-body diagram. A ball rolling down a hill. A car is skidding up an embankment. A climber climbs up the Everest mountain. A box resting on an inclined surface.