# Acceleration of a box across a rough horizontal plane

• Confusedbiomedeng
In summary, a box with a mass of 50kg is being pulled by a person using a rope on a rough, horizontal surface. The person is applying a force of 150N at an angle of 30 degrees. The coefficient of kinetic friction between the block and the surface is 0.2. Based on these factors, the acceleration of the block is determined to be 0.936m/s.
Confusedbiomedeng
Thread moved from the technical forums, so no Homework Template is shown
Not sure if I'm doing this right would love input

Consider a box m=50kg which is being pulled on a rough, horizontal surface by a person using a rope . Assume that the person is applying a force of T=150N on the block , the rope makes an angle of 30 degrees with the horizontal and the coefficient of kinetic friction between the block and the horizontal surface is 0.2
Determine acceleration of the block if the block remains in full contact with the floor

Fx=FCosθ
Fx=150(Cos30)
Fx=129.9N

Fy=FSinθ
Fy=150(sin30)
Fy=75N

Fk=μFN
FN=mg-fy
FN=50(9.81)-75
FN=415.5

FK=0.2(415.5)
FK=83.1

Fnet=Fx-Fk
Fnet=129.9-83.1
Fnet=46.8=ma=50(a)=46.8
a=0.936m/s

It all looks good to me (except something's missing in the last symbol of the last line ).

CWatters

## 1. What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity, meaning it has both magnitude and direction.

## 2. How is acceleration calculated?

Acceleration can be calculated by dividing the change in velocity by the change in time, using the equation a = (vf - vi) / t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

## 3. What factors affect the acceleration of a box across a rough horizontal plane?

The acceleration of a box across a rough horizontal plane can be affected by the mass of the box, the force applied to the box, and the coefficient of friction between the box and the surface.

## 4. How does friction affect acceleration?

Friction is a force that opposes motion, so it can decrease the acceleration of a box across a rough horizontal plane. The higher the coefficient of friction, the greater the opposing force and the slower the acceleration of the box.

## 5. Can acceleration be negative?

Yes, acceleration can be negative if an object is slowing down or moving in the opposite direction of its initial velocity. This is also known as deceleration or negative acceleration.

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