Question

A 27 kg box is being dragged across a smooth floor by a rope for a...

A 27 kg box is being dragged across a smooth floor by a rope for a distance of 7 m. The rope is pulling with a tension of 35 N, directed 22 above the horizontal. What is the change in kinetic energy of the box?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

There are three forces acting on the box- i) pulling force by the force, F=35 N, which is directed 22° above the horizon ii) weight of the box, directed vertically downward iii) Normal reaction force, N directed vertically upward.

The displacement d=7 m of the box is along the horizontal direction.

Work done by a force, W = force * displacement* cos(). Where is the angle between displacement and the force.

Weight of the box and the normal force are perpendicular to the displacement, so they don't do any work.

Work done by the applied pulling force, W = F*d*cos(22°) = 35 N * 7 m * cos(22°) = 227.2 joule.

By kinetic energy-work theorem,

Change in kinetic energy of the box = work done by the force = 227.2 joule.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
A box with mass 1.74 kg is being pulled across a rough surface at a constant...
A box with mass 1.74 kg is being pulled across a rough surface at a constant speed with a coefficient of kinetic friction µk = 0.366. The pulling force has a magnitude of 11.2 N and is directed at an angle 32.8 degrees above horizontal. If the box is dragged a distance of 10.3 m, what is the total energy lost to friction? (Hint: be sure to account for the upward component of the pulling force, and note that the...
A 69 kg crate is dragged across a floor by pulling on a rope attached to...
A 69 kg crate is dragged across a floor by pulling on a rope attached to the crate and inclined 12° above the horizontal. (a) If the coefficient of static friction is 0.46, what minimum force magnitude is required from the rope to start the crate moving? (b) If μk = 0.36, what is the magnitude of the initial acceleration (m/s^2) of the crate?
A 55-kg packing crate is pulled with constant speed across a rough floor with a rope...
A 55-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 41.0 ∘ above the horizontal. If the tension in the rope is 175 N , how much work is done on the crate by the rope to move it 9.0 m ?
A 55-kg packing crate is pulled with constant speed across a rough floor with a rope...
A 55-kg packing crate is pulled with constant speed across a rough floor with a rope that is at an angle of 41.6 degrees above the horizontal. Part a: If the tension in the rope is 165 N how much work is done on the crate by the rope to move it 3.0 m ? ___ J
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...
Igor is moving a 72 kg wooden box across the lab. To do so, uses a...
Igor is moving a 72 kg wooden box across the lab. To do so, uses a rope that make an angle of 35 degrees with the horizontal, pulling with a forces of 95 N to move the box along the horizontal a distance of 5.0 m at a constant speed. How much work is done bu Igor?
A box of mass 730 kg is being pulled at a constant speed across a rough...
A box of mass 730 kg is being pulled at a constant speed across a rough horizontal floor by a constant force, F. The angle of this force above the horizontal is such that the force you apply is a minimum (that is, the amount of force you need to move the box at a constant speed across the floor depends on the angle at which you pull - find the angle which the force is a minimum). Calculate the...
You are using a rope to pull a box across a hardwood floor at constant speed....
You are using a rope to pull a box across a hardwood floor at constant speed. a) Is the box in mechanical equilibrium? Explain. b) Is the box accelerating? How do you know? c) The mass of the box is 14 kg. The normal force exerted on the box by the ground is 120 N, and the friction force between the box and the floor is 20 N. What is the tension in the rope? d) Sketch a force diagram...
A 48.0-kg box is being pushed a distance of 6.04 m across the floor by a...
A 48.0-kg box is being pushed a distance of 6.04 m across the floor by a force P whose magnitude is 162 N. The force P is parallel to the displacement of the box. The coefficient of kinetic friction is 0.206. Determine the work done on the box by (a) the applied force, (b) the friction force, (c) the normal force, and (d) by the force of gravity. Be sure to include the proper plus or minus sign for the...
A rope is used to pull a box which has a mass of 2.03 kg above...
A rope is used to pull a box which has a mass of 2.03 kg above the floor as far as 4.56 m. The force of the rope F is 6 N in a direction that has an angle of 33.1 degrees above the floor surface. a. How much work does F do? b. What is the increase in thermal energy in a box-floor system? c. What is the kinetic friction coefficient between the box and the floor?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT