# A identify the forces acting on the mass m 1 select

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(a) Identify the forces acting on the mass m 1 . (Select all that apply.) a g
(b) Using the direction rosette indicate the direction for each of the forces acting on m 1 that you identified in part (a). If any of the forces listed below is not applicable, choose 'NA'. Force Direction m 1 a NA NA m 2 a NA NA m 1 g 1 1 m 2 g NA NA ( m 1 + m 2 ) a NA NA ( m 1 + m 2 ) g NA NA f NA NA T 5 5 F N NA NA (c) Identify the forces acting on the mass m 2 . (Select all that apply.)
a g
(d) Using the direction rosette indicate the direction for each of the forces acting on m 2 that you identified in part (c). If any of the forces listed below is not applicable, choose 'NA'. Force Direction m 1 a NA NA m 2 a NA NA m 1 g NA NA m 2 g 1 1 ( m 1 + m 2 ) a NA NA ( m 1 + m 2 ) g NA NA f NA NA T 5 5 F N NA NA (e) Write Newton's Second Law equation (in the form F net = ma ) for m 1 in the y -direction. It is important to use the correct signs for each of the forces. Motion in the upward direction is positive and motion in the downward direction is negative. (Be sure to enter your answer in the above form with the sum of the forces in the left hand side answer box. The right hand side answer box should have the appropriate form of ma . Use the following as necessary: a , f , F N , m 1 , and T .) g ,
(f) Write Newton's Second Law equation (in the form F net = ma ) for m 2 in the y -direction. It is important to use the correct signs for each of the forces. Motion in the upward direction is positive and motion in the downward direction is negative. (Be sure to enter your answer in the above form with the sum of the forces in the left hand side answer box. The right hand side answer box should have the appropriate form of ma . Use the following as necessary: a , f , F N , m 2 , and T .) g ,
(g) Use your answers from parts (e) and (f) to get an expression for the magnitude of the tension T . (Use the following as necessary: m 1 , m 2 , and g .)
(h) Use your answers from parts (e), (f), and (g) to find the magnitude of a , the acceleration of the system. (Use the following as necessary: m 1 , m 2 , and g .)
(i) In what direction will each mass accelerate? up
(j) Suppose m 1 = 8 kg and m 2 = 12 kg. What is the tension in the string?
T = 94.08 N 94.1 N (k) Suppose m 1 = 8 kg and m 2 = 12 kg. What is the value of the acceleration? a = 1.96 m/s^2 1.96 m/s^2 (l) Suppose that m 2 starts from rest at a height of 5 m. Use the kinematic equations to determine how long it takes for m 2 to hit the ground. 2.5 s 2.26 s Additional Materials Newton's Second Law Appendix 6. 10/10 points | Previous Answers A bullet is shot into a block of plastic. The bullet penetrates the block 0.85 m. The mass of the bullet is 11 g. It is traveling with a speed of 525 m/s before it hits the block. (a) Use kinematic equations to find the magnitude of the acceleration on the bullet as it is penetrating the block (ignore gravity, and assume that the force on the bullet as it penetrates the block is constant).
(b) Use Newton's Second Law to find the magnitude of the force exerted on the bullet by the plastic block.
Additional Materials Newton's Second Law Appendix