The graph in the figure shows the x component of the acceleration of a 2.4-kg object as a function of time (in ms). (a) At what time(s) does the x component of the net force on the object reach its maximum magnitude? (a) What is the maximum magnitude of the x component of the net force on the object? (b) What is the x component of the net force on the object at time t= 0 ms and at t=4 ms? (m/s}- > (ms) 10 20

You drop an object of mass m from a tall building. Suppose the only forces affecting its motion are gravity, and air resistance proportional to the object's speed with positive constant of proportionality k. Let g denote gravitational acceleration (a positive constant). Express the total force in terms of m, g, and the object's velocity v, where upward displacement is considered positive. F = mg - kv Newton's second law tells us that force is equal to mass x acceleration, F = ma. Relating acceleration to velocity, rewrite the equation for total force above as a first order differential equation for v as a function of t. Denote v' as dv dt v(t) m(- dr) this is not an equation. Solve this differential equation for v(t) with the initial condition v(0) = V0. = mg (1-e ==) m k Find the terminal Terminal velocity = mg k X velocity. X syntax error: X X

A 15 kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 21 kg package on the ground (see the figure). (a) What is the magnitude of the least acceleration the monkey must have if it is to lift the package off the ground? If, after the package has been lifted, the monkey stops its climb and holds onto the rope, what are (b) the magnitude and the direction of the monkey's acceleration (choosing the positive direction up), and (c) what is the tension in the rope? Bananan (a) Number Units (b) Number Units Units (c) Number

A 18 kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 25 kg package on the ground (see the figure). (a) What is the magnitude of the least acceleration the monkey must have if it is to lift the package off the ground? If, after the package has been lifted, the monkey stops its climb and holds onto the rope, what are (b) the magnitude and the direction of the monkey's acceleration (choosing the positive direction up), and (c) what is the tension in the rope? Bananas

In the figure here, a box of Cheerios (mass mc = 1.80 kg) and a box of Wheaties (mass mw = 3.40 kg) are accelerated across a horizontal surface by a horizontal force applied to the Cheerios box. The magnitude of the frictional force on the Cheerios box is 2.20 N, and the magnitude of the frictional force on the Wheaties box is 4.40 N. If the magnitude of is 12.9 N, what is the magnitude of the force on the Wheaties box from the Cheerios box?

a block of mass m = 10.2 kg sitting on a ramp that makes an angle θ = 21° with the horizontal. This block is being pushed by a horizontal force F = 212 N. The coefficient of kinetic friction between the two surfaces is μ = 0.49. Write an equation for the acceleration of the block up the ramp using variables from the problem statement together with g for the acceleration due to gravity.  Find the acceleration of the block up the ramp in m/s2.

A 10 kg monkey climbs up a massless rope that runs over a frictionless tree limb and back down to a 15 kg package on the ground.  (a) What is the magnitude of the least acceleration the monkey must have if it is to lift the package off the ground? If, after the package has been lifted, the monkey stops its climb and holds onto the rope, what are the (b) magnitude and (c) direction of the monkey’s acceleration and (d) the tension in the rope?

To understand kinetic and static friction. A block of mass m lies on a horizontal table. The coefficient of static friction between the block and the table is μs. The coefficient of kinetic friction is μk, with μk<μs.   Suppose you push horizontally with precisely enough force to make the block start to move, and you continue to apply the same amount of force even after it starts moving. Find the acceleration aaa of the block after it begins to move. Express your answer in terms of some or all of the variables μs, μk, and m, as well as the free-fall acceleration g.

A semi is traveling down the highway at a velocity of v = 39.5 m/s. The driver observes a wreck ahead, locks his brakes, and begins to slide. The truck has mass m and a coefficient of kinetic friction between the tires and the road of μk = 0.25. Write an expression for the sum of the forces in the x-direction for the truck while braking. Using the results from that input an expression for the trucks acceleration, ax, while braking. What is the magnitude of the acceleration in m/s^2, and how far does the truck travel, d in meters, before stopping?

Two forces act on a 56-kg object. One force has magnitude 65 N directed 59° clockwise from the positive x-axis, and the other has a magnitude 38 N at 36° clockwise from the positive y-axis. To the nearest 0.01 m/s2, what is the magnitude of this object's acceleration?