Calculating Acceleration and Work for a Box on a Horizontal Surface

In summary, a 125 N box is being pulled along the floor with a force of 60 N at an angle of 42 degrees to the horizontal. The force of friction on the box is 15 N. The acceleration of the box is 189.9 m/s^2 and the work done to move the box over a distance of 5 m is 189.9 J. The equation used to find the acceleration was fnet= TX - Ff = ma, where the mass of the box is 125 N.
  • #1
kselanders
3
0

Homework Statement


A 125 N box is pulled along the floor with a force of 60 N acting at an angle of 42 degrees to the horizontal. If the force of friction on the box is 15 N,
A. what is the acceleration of the box?
B. How much work is done to move the box over a distance of 5 m?


Homework Equations





The Attempt at a Solution


TX = Tcos0
TX = 60Ncos42
TX = 44.6N

fnet=60N - 45N
fnet = 45N

fnet= TX - Ff = ma
45N = 44.6N - 15N = (125N)(a)
45N = .237 = a
a=189.9m/s^2
 
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  • #2
fnet= TX - Ff = ma
45N = 44.6N - 15N = (125N)(a)
45N = .237 = a
a=189.9m/s^2

you should only have 44.6-15N= ma
Where are you getting the 45N on the left hand side of the equation?
Also, remember that the "m" in F=ma is the MASS of the object...What are units of mass? 125N is not a mass.
 

What is the acceleration?

Acceleration is a measure of the rate of change of an object's velocity over time. It can be described as the increase or decrease in an object's speed or direction.

How is acceleration calculated?

Acceleration is calculated by dividing the change in velocity by the change in time. The formula for acceleration is a = (vf - vi) / t, where a is acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

What are the units of acceleration?

The units of acceleration are typically meters per second squared (m/s^2) in the metric system, or feet per second squared (ft/s^2) in the imperial system. In both systems, acceleration can also be measured in other units, such as miles per hour squared (mph/s^2) or kilometers per hour squared (km/h^2).

How is acceleration different from velocity?

Velocity is a measure of an object's speed and direction, while acceleration is a measure of how an object's velocity changes over time. In other words, velocity tells us how fast and in what direction an object is moving, while acceleration tells us how much an object's velocity is changing.

What are some real-life examples of acceleration?

Acceleration can be observed in many everyday activities, such as a car speeding up or slowing down, a person jumping off a diving board, or a ball being thrown into the air. It is also present in more complex phenomena, such as the acceleration of a rocket during launch or the acceleration of an object due to the force of gravity.

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