What is the acceleration of the crate

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In summary, the acceleration of the 100 kg crate placed on an incline with zero velocity and a theta of 40 degrees is -3.84, taking into account the coefficient of kinetic friction (0.25) and the coefficient of static friction (0.35) between the crate and the incline.
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Physicspilot
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Homework Statement


A 100 kg crate is carefully placed with zero velocity on the incline. What is the
acceleration of the crate if theta= 40degrees? μk=0.25 and μs=0.35(between the box and the incline.


Homework Equations





The Attempt at a Solution


My assumption is that,the (coefficient of)static friction will have no effect because we are looking at when the box starts sliding down the incline .Having that in mind,

i came up with: ∑F=m*a:
μk-Fg*sin40=m*a
245-630=100*a
a=-3.84 *******but this is wrong. Thanks in advance
 
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  • #2
Resolved by moi.I forgot to multiply the friction by cos40:rofl:
 

1. What is acceleration?

Acceleration is the rate of change of an object's velocity over time. In other words, it is the change in an object's speed or direction of motion over time.

2. How is acceleration calculated?

Acceleration is calculated by dividing the change in an object's velocity by the time it takes for that change to occur. This can be represented by the formula a = (vf - vi)/t, where a is acceleration, vf is final velocity, vi is initial velocity, and t is time.

3. What are the units of acceleration?

The units of acceleration are typically meters per second squared (m/s^2) in the SI system. However, other units such as feet per second squared (ft/s^2) or kilometers per hour squared (km/h^2) may also be used.

4. How is acceleration related to force?

According to Newton's second law of motion, force is directly proportional to acceleration. This means that the greater the force applied to an object, the greater its acceleration will be. The relationship can be represented by the equation F = ma, where F is force, m is mass, and a is acceleration.

5. What factors affect the acceleration of an object?

The acceleration of an object can be affected by several factors, including its mass, the force applied to it, and any opposing forces such as friction. Other factors such as air resistance, gravity, and the object's shape can also play a role in determining its acceleration.

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