Could you show me how to find it Answer the following questions. Each is worth 5
ID: 1454351 • Letter: C
Question
Could you show me how to find it Answer the following questions. Each is worth 5 to 20 points. 1. (18 points) A 10 kg block (m) sits stationary on a 30° incline. A rope connects the 10 kg block to a free-hanging block of unknown mass (m2) via a pulley (as shown to the right). There is no friction between the block and the incline. (4 pts.) Draw two free-body diagrams: one for the block on the incline (m:) and one for the free- hanging block (m2). Identify all of the forces on each. im,) Lerl uy (2 pt.) Calculate the force of gravity (le, weight) on the 10-kg block (2 pts) Calculate the component of the force of gravity x98 sn (60)- 84.87 in the direction down the ramp. (2 pts) Calculate the tension in the rope. -CEsi opersin :98 CS+3 2 49 pts.) What is the mass of the block m? 41 -m,: 18 :6 (5 pts.) If you doubled the mass of the block ma, how quickly would the block m accelerate? 54 4)u)5.(53.53)Explanation / Answer
for m2
m2*g - T = m2*a
T = m2*g - m2*a.....(1)
m1 moves with acceleration a
net force on m1
T - m1*g*sin30 = m1*a
m2*g - m2*a = m1*g*sin30 + m1*a
a = g*(m2 - m1*sin30)/(m1+m2)
a = 9.8*(10-(10*sin30))/(10+10)
a = 2.45 m/s^2 <<<------------answer