1. A mover has to move a heavy sofa of mass 66 kg to the second floor of the hou
ID: 1280374 • Letter: 1
Question
1. A mover has to move a heavy sofa of mass 66 kg to the second floor of the house. As he pulls on the rope tied to the sofa he makes sure that the rope is parallel to the surface of the ramp, which is at 30.0 to the horizontal. If the coefficient of kinetic friction between the sofa and the ramp is 0.530, and the sofa has an acceleration of 0.800 m/s2, find the tension in the rope.
2. A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest and reaches the bottom in 1.44 s. The mass of the book bag is 2.25 kg, the length of the slide is 3.90 m and the angle of incline is 31.0. (Assume the +x-axis to be parallel to and down the slide. For all values, enter the magnitude only.)
(a) With what acceleration does the bag go down the slide? ______ m/s^2
(b) What is the friction force acting on the bag? ____ N
(c) What is the coefficient of kinetic friction between the bag and the slide?
(d) What is the speed of the bag when it reaches the bottom of the slide? ______ m/s
3. Consider the 49.0 kg mountain climber in the figure below.
(a) Find the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms.
(b) What is the minimum coefficient of friction between her shoes and the cliff?
tension in rope _____ N force on feet _______ N 1. A mover has to move a heavy sofa of mass 66 kg to the second floor of the house. As he pulls on the rope tied to the sofa he makes sure that the rope is parallel to the surface of the ramp, which is at 30.0½ to the horizontal. If the coefficient of kinetic friction between the sofa and the ramp is 0.530, and the sofa has an acceleration of 0.800 m/s2, find the tension in the rope. 2. A child leaves her book bag on a slide. The bag, which is at the top of the slide, starts from rest and reaches the bottom in 1.44 s. The mass of the book bag is 2.25 kg, the length of the slide is 3.90 m and the angle of incline is 31.0. (Assume the +x-axis to be parallel to and down the slide. For all values, enter the magnitude only.) (a) With what acceleration does the bag go down the slide? ______ m/s^2 (b) What is the friction force acting on the bag? ____ N (c) What is the coefficient of kinetic friction between the bag and the slide? (d) What is the speed of the bag when it reaches the bottom of the slide? ______ m/s 3. Consider the 49.0 kg mountain climber in the figure below. (a) Find the tension in the rope and the force that the mountain climber must exert with her feet on the vertical rock face to remain stationary. Assume that the force is exerted parallel to her legs. Also, assume negligible force exerted by her arms. tension in rope _____ N force on feet _______ N (b) What is the minimum coefficient of friction between her shoes and the cliff?Explanation / Answer
No.1
Let mass=m,Kinetic friction =u,Acceleration due to gravity=g, T=Tension
Eqn
T=gsin(thita)+umgcos(thita)+ma
=>T=673.073N
No 2
a)s=1/2* a*t^2
here s=3.768 m/s^2
b)friction force=m(g*sin(31)-a)
friction force=2.877N
c)friction force=u* m*g*cos(31)
where u=co-efficient of friction
here u=0.152
d)final velocity=a*t
here v=5.425m/s^2
N0 3.
Let W=mass of climber* accleration due to gravity
W=49*9.8=480.2N
According to Lame's theorem
T/sin105=F/sin149=W/sin106
T=482.52N
F=257.28N
friction=66.59 N
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