For each problem make sure to include a FBD (free body diagram a.k.a. force diag

Question

For each problem make sure to include a FBD (free body diagram a.k.a. force diagram), put your solutions on a separate sheet of paper, and as always show all work? A crate has a mass of 24 kg. What applied force is required to produce an acceleration of 3m/s^2 if the frictional force is known to be 90 N? A rope is used to pull a 10 kg block across the floor with an acceleration of 3 m/s^2. If the frietional force acting on the block is 50 N, what is the tension in the rope? If a puil of 210 N accelerates a 40 kg child on ice skated at a rate of 5 m/s^2. What is the frictional force acting on the skates? Paul and Joarna are standing on a frozen pond some distance away from each other. For safety reasons they are tied together with a rope. Paul's mass is 75 kg and Joanna's mass is 50 kg. If Paul pulls on the rope and begins accelerating at 2m/s^2, What is Joamn's acceleration? You stand on a spring seale in your bathroom at home and it reads 600 N (make a FBD). What is

Explanation / Answer

1)  Force(net) = m * a

applied force - friction = x - 90 = 24 *3
x - 90 = 72
x = 162 N = applied force

2) Given:
10 kg = m, mass of the block being pulled
3 m/s^2 = a, acceleration of the block
50 N = Ff, frictional force acting on the block

Find:
Ft = tension on the rope

Solution:
Fnet = ma
Ft - Ff = ma
Ft = ma + Ff
Ft = (10kg)(3 m/s^2) + 50 N
Ft = 30 N + 50N
Ft = 80 N

3) Force = ma = 40 x 5 = 200 N
Frictional force = 210 - 200 = 10 N

5) Mass = 600/9.8 = 61.22 kg

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