Calculate Acceleration of 8.5kg Mass Due to Proportional Force

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In summary, when a force of 1.7kg mass produces an acceleration of 5.1m/s^2, the same force applied to an 8.5kg mass would produce an acceleration of 0.3m/s^2. This can be solved using the formula F = m * a, where F represents the force, m represents the mass, and a represents the acceleration. In this scenario, the force is constant and the mass varies, resulting in a proportional relationship between the two. Using the given values and solving for the unknown, we can determine that the force is equal to 1.7*5.1 and the acceleration is equal to 8.5*0.3.
  • #1
krazykaci
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A force is applied to a 1.7kg mass and produces 5.1m/s^2 acceleration.
what acceleration would be produced by the same force applied to a 8.5kg mass? answer in units of m/s^2

ok... would i just use a proportion to get the answer to the problem? 1.7/5.1 = 8.5/x? Or do i need to find the force? If I am wrong i would appreciate some guidance in solving this!

~kaci
 
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  • #2
krazykaci said:
A force is applied to a 1.7kg mass and produces 5.1m/s^2 acceleration.
what acceleration would be produced by the same force applied to a 8.5kg mass? answer in units of m/s^2

ok... would i just use a proportion to get the answer to the problem? 1.7/5.1 = 8.5/x? Or do i need to find the force? If I am wrong i would appreciate some guidance in solving this!

~kaci

Your proportion implies F = m / a, which is wrong. F = m * a.
 
  • #3
oh... ok so it would be 1.7*5.1 =8.5*x
 
  • #4
krazykaci said:
oh... ok so it would be 1.7*5.1 =8.5*x

Correct. (1.7*5.1 is your force)
 

FAQ: Calculate Acceleration of 8.5kg Mass Due to Proportional Force

What is the formula for calculating acceleration?

The formula for calculating acceleration is a= F/m, where a is acceleration, F is force, and m is mass.

How do you determine the proportional force?

The proportional force can be determined by multiplying the mass (m) by the acceleration (a). This will give you the force (F) needed to accelerate the mass at the desired rate.

What is the unit of measurement for acceleration?

The unit of measurement for acceleration is meters per second squared (m/s²).

What is the value of acceleration for an 8.5kg mass with a proportional force?

The value of acceleration can be found by dividing the force (F) by the mass (m). So for an 8.5kg mass with a proportional force, the acceleration would be a=F/m= (proportional force)/(8.5kg).

How does the acceleration change with a change in mass or force?

According to Newton's Second Law of Motion, the acceleration is directly proportional to the force and inversely proportional to the mass. This means that as the mass increases, the acceleration decreases and vice versa. Similarly, when the force increases, the acceleration also increases and vice versa.

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