Question

A mover has to move a heavy sofa of mass 48 kg to the second floor...

A mover has to move a heavy sofa of mass 48 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 0.450, and the sofa has an acceleration of 0.700 m/s2, find the tension in the rope.

Homework Answers

Answer #1

Given Data

mass, m = 48 kg

Angle θ = 30.0°

coefficient of kinetic friction, μ = 0.450

acceleration a = 0.700 m/s2

Fg = m*g*sin θ

    = 48*9.8*sin 30

   = 235.2 N


Ff = m*g*cos θ *μ

    = 48*9.8*cos 30*0.450

   = 183.32 N

Fa = m*a

     = 48*0.7

     = 33.6 N


Total force F = Fg+Ff+Fa

                  = 235.2 N + 183.32 N + 33.6 N

                   = 452.12N

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A mover has to move a heavy sofa of mass 47.0 kg to the second floor...
A mover has to move a heavy sofa of mass 47.0 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 0.420, and the sofa has an acceleration of 0.700 m/s2, find the tension in the rope.
You are trying to drag a heavy sleeper-sofa across your floor. The sofa has a mass...
You are trying to drag a heavy sleeper-sofa across your floor. The sofa has a mass of 150 kg and the coefficient of static friction between the couch and the floor is 1.08. Being a bright physics student, you realize that you can make this easier by pulling upwards and forwards at the same time rather that just pulling the sofa forwards. If you pull on the sofa at an angle 32? above the horizontal how much force does it...
a large box whose mass is 20.0 kg rests on the frictionless floor. A mover pushes...
a large box whose mass is 20.0 kg rests on the frictionless floor. A mover pushes on the box with a force of 250 N at an angle 35.0 below the horizontal. Draw the box's free body diagram and calculate the acceleration of the box b) if the kinetic friction coefficient is 0.1 between the box and floor. Draw the box's free body diagram and re-calculate the acceleration of the box
You are pulling a heavy crate (mass m) up a ramp inclined at an angle θ...
You are pulling a heavy crate (mass m) up a ramp inclined at an angle θ to the horizontal. The ramp is not a smooth surface. The rope that you are pulling with is parallel to the incline. What forces are acting on the crate? Group of answer choices Friction, gravity, normal force and tension Gravity and tension Friction, gravity and tension Friction Gravity, normal force and tension Gravity Normal force Tension
Carol wants to move her 32kg sofa to a different room in the house. She places...
Carol wants to move her 32kg sofa to a different room in the house. She places "sofa sliders", slippery disks with coefficient of kinetic friction= 0.080, on the carpet, under the feet of the sofa. She then pushes the sofa at a steady 0.40 m/s accross the floor using a force of 25 N. If Carol had pushed the sofa with a force of 30 N, instead of 25N, choose ONLY one correct answer below:                                                             a. the box would move...
A student decides to move a box of books into her dormitory room by pulling on...
A student decides to move a box of books into her dormitory room by pulling on a rope attached to the box. She pulls with a force of 156 N at an angle of 27.0° above the horizontal. The box has a mass of 20.0 kg, and the coefficient of kinetic friction between box and floor is 0.300. (a) Find the acceleration of the box. ____m/s2 (b) The student now starts moving the box up a 10.0° incline, keeping her...
A mass m = 13 kg is pulled along a horizontal floor, with a coefficient of...
A mass m = 13 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μk = 0.07, for a distance d = 5.1 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle θ = 33° with the horizontal. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 33° (thus on the incline it is...
A 10 kg box was lying on a smooth surface. A rope was connected to the...
A 10 kg box was lying on a smooth surface. A rope was connected to the box. The box was pulled by the rope at angle of 30° with the horizontal.    What applied force will keep the box moving upward at a constant speed? A 10 kg box was resting on an inclined rough surface, which makes an angle of 30° with the horizontal. The coefficient of kinetic friction between the surface and the box is 0.4. The box was...
A mass m = 12 kg is pulled along a horizontal floor with NO friction for...
A mass m = 12 kg is pulled along a horizontal floor with NO friction for a distance d =7.2 m. Then the mass is pulled up an incline that makes an angle θ = 30° with the horizontal and has a coefficient of kinetic friction μk = 0.49. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 30° (thus on the incline it is parallel...
A mass m = 12 kg is pulled along a horizontal floor with NO friction for...
A mass m = 12 kg is pulled along a horizontal floor with NO friction for a distance d =7.2 m. Then the mass is pulled up an incline that makes an angle θ = 30° with the horizontal and has a coefficient of kinetic friction μk = 0.49. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 30° (thus on the incline it is parallel...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT