Diagram on right for Problems 12-15: Assume a frictionless pulley. T N EN 125a 351 kg H= 0.200 351ks 125 kg 351a 450 351(9.8) 125(9.8) 12. Calculate the force of the friction (Fx) on the 351 kg mass. EFy: N-351 (9.8)cos(45°) = 0 FN = UN cos(45°) = sin(45°)= 0.707 %3D 13. Calculate the acceleration a of the 125 kg mass. EFx: 351a = 351(9.8)sin(45º) – T –FN 125a =-125(9.8) +T 14. Calculate the tension (T) in the cable. (Hint: substitute a one of the above equations and solve for T) (round answer to three significant digits) a. 171 N b. 980 N c. 1255 N d. 1414 N

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter6: Energy Of A System
Section: Chapter Questions
Problem 9OQ
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Diagram on right for Problems 12-15: Assume a frictionless pulley.
T
125a
N
FN
351 kg
125 kg
351 kg
H= 0.200
351a
45°
351(9.8)
125(9.8)
12. Calculate the force of the friction (FN) on the 351 kg m
ass.
EFy: N -351 (9.8)cos(45°) = 0
%3D
cos(45) = sin(45°) = 0.707
FN = µN
13. Calculate the acceleration a of the 125 kg mass.
EFx: 351a = 351(9.8)sin(45) - T -FN
125a = -125(9.8)
+ T
14. Calculate the tension (T) in the cable. (Hint: substitute a one of the above equations and
solve for T) (round answer to three significant digits)
a. 171 N
b. 980 N
c. 1255 N
d. 1414 N
15. If the 351 kg mass moves for 3 seconds, what distance will it travel? (Use formula sat)
S
a. 4.86 m
b. 6.82 m
c. 9.72 m
d. 14.1 m
Transcribed Image Text:Diagram on right for Problems 12-15: Assume a frictionless pulley. T 125a N FN 351 kg 125 kg 351 kg H= 0.200 351a 45° 351(9.8) 125(9.8) 12. Calculate the force of the friction (FN) on the 351 kg m ass. EFy: N -351 (9.8)cos(45°) = 0 %3D cos(45) = sin(45°) = 0.707 FN = µN 13. Calculate the acceleration a of the 125 kg mass. EFx: 351a = 351(9.8)sin(45) - T -FN 125a = -125(9.8) + T 14. Calculate the tension (T) in the cable. (Hint: substitute a one of the above equations and solve for T) (round answer to three significant digits) a. 171 N b. 980 N c. 1255 N d. 1414 N 15. If the 351 kg mass moves for 3 seconds, what distance will it travel? (Use formula sat) S a. 4.86 m b. 6.82 m c. 9.72 m d. 14.1 m
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