Find the acceleration of the blocks

In summary, the question asks to find the acceleration of the blocks when a horizontal force of 10 N is applied on the 7 kg block. The coefficients of friction u1, u2, and u3 are mentioned and a diagram is referred to. The force of friction between the 7 kg and 3 kg blocks is 15 N, causing them to move together like a single block. It is unclear if the 4 kg block will have a different acceleration or the same as the others. A possible approach is to assign the accelerations a1, a2, and a3 to each block and write out the F = ma equations for each one. Further clarification and guidance is requested.
  • #1
jyothsnapb
2
0

Homework Statement



Find the acceleration of the blocks if a horizontal force of 10 N is applied on the 7 kg block.
u1, u2 and u3 are the coefficients of friction. refer diagram. thanks in advance

Homework Equations





The Attempt at a Solution



the force of friction between 7 kg and 3 kg is 15 N which is more than the applied force so they will move together like a single block. I am confused abt the motion of the 4 kg block will it move with a different acceleration or same?
 

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  • #2
hi jyothsnapb! :wink:

do questions like this systematically …

call the accelerations of the three blocks a1 a2 and a3,

then write out F = ma equations for each block …

what do you get? :smile:​
 

FAQ: Find the acceleration of the blocks

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. What is the formula for acceleration?

The formula for acceleration is a = (vf - vi) / t, where a represents acceleration, vf is the final velocity, vi is the initial velocity, and t is the time interval.

3. How is acceleration related to force?

According to Newton's Second Law of Motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. This can be expressed as F = ma, where F is the net force, m is the mass, and a is the acceleration.

4. How do you calculate acceleration from a velocity-time graph?

To calculate acceleration from a velocity-time graph, you can find the slope of the line at any given point. The slope represents the change in velocity over the change in time, which is the definition of acceleration.

5. What are some common units of acceleration?

The most commonly used units of acceleration are meters per second squared (m/s²) and kilometers per hour squared (km/h²). Other units include feet per second squared (ft/s²) and miles per hour squared (mi/h²).

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