1. A 12 N force (F) is applied to the two blocks. This problem has no friction.
m1 = 1 kg m2 = 2 kg
a) Find the acceleration of the system.
b) Draw a free body diagram for m1. Find tension T.
c) Draw a free body diagram for m2. Show a check for T.
2. A 20 N force is pushing two blocks as shown in the diagram.
m1 = 1 kg m2 = 2 kg
a) Find the acceleration of the system.
b) Draw a free body diagram for m1. Find the force of contact between m1 and m2.
c) Draw a free body diagram for m2. Find the force of contact between m1 and m2.
d) Identify the action reaction pair in this problem. Give the three conditions for an action-reactionpair of forces.
3. A 24 N force (F) is applied to the three blocks. This problem has no friction.
m1 = .5 kg m2 = 1 kg m3 = 1.5 kg
a) Find the acceleration of the system
b) Draw a free body diagram for m1. Find tension T1.
c) Draw a free body diagram for m2. Find tension T2.
d) Draw a free body diagram for m3. Show a check for T1 and T2.
4. Mass m1 is placed on a horizontal table. A cord attached to m1 is placed over a frictionless pulley and attached to mass m2 as shown in the diagram. This problem has no friction.
m1 = 3 kg m2 = 2 kg
a) How many forces act on the system?
Find the acceleration of the system.
b) Draw a free body diagram for m2. Find the tension T.
c) Draw a free body diagram for m1. Show a check for T.
5. This problem has friction. A single block of mass M slides along a rough surface (k) when a force F is applied.
a) Draw a free body diagram.
b) Find the acceleration of the block in terms of the given quantities and any fundamental constants.
c) Determine the value of the force F, in terms of the given quantities and any fundamental constants, that would result in the block sliding with constant velocity pulled so that it moves with a constant velocity.
6. You have now completed four, fairly easy problems in which you applied Newton’s Laws. While blocks sliding on tables are super exciting, I know, please recognize that these are models for any situation of connected bodies. List 3 real life circumstances, preferably everyday type circumstances, where a scientist, engineer, technician, doctor or machine operator of some sort might have to consider such things as maximum applied force, tensions, and friction.
7. This problem has friction. A 12 N force (F) is applied to the two blocks. The coefficient of kinetic friction between the blocks and the table, k, is 0.308.
m1 = 1 kg m2 = 2 kg
a) Find the acceleration of the system.
b) Draw a free body diagram for m1 and m2 . Find tension T. Find FF1 and FF2.
8. This problem has friction. A 12 N force (F) is applied to the two blocks. The coefficient of kinetic friction between the blocks and the table, k, is 0.408. The system moves with constant velocity.
m1 = 1 kg m2 = 2 kg
a) Find the acceleration of the system.
b) Draw a free body diagram for m1 and m2 . Find tension T. Find FF1 and FF2.
9. OPTIONAL FOR PRE-AP
1987B1. This problem includes friction. In the system shown above, the block of mass M1 is on a rough horizontal table. The string that attaches it to the block of mass M2 passes over a frictionless pulley of negligible mass. The coefficient of kinetic friction k between M1and the table is less than the coefficient of static friction s
a. On the diagram below, draw and identify all the forces acting on the block of mass M1.
b. In terms of M1 and M2 determine the minimum value of s that will prevent the blocks from moving.
The blocks are set in motion by giving M2 a momentary downward push. In terms of M1, M2, k, and g, determine each of the following:
c. The magnitude of the acceleration of M1
d. The tension in the string.