Question

A student solving for the acceleration of an object has applied appropriate physics principles and obtained the expression a=a1+Fm where a1=3.00 meter/second2, F=12.0kilogram⋅meter/second2 and m=7.00kilogram. First, which of the following is the correct step for obtaining a common denominator for the two fractions in the expression in solving for a?

Answer 1

Using Newton's second law, for a wagon with a mass of 55 kg and an acceleration of 0.0255 m/s², the force on the wagon is calculated to be 1.4025 Newtons (N).

Step-by-step explanation:

The initial question about solving for the acceleration of an object seems to be formulated incorrectly and does not require finding a common denominator for fractions. However, based on the reference information provided, we can solve another physics problem using Newton's second law, which states that the force F applied to an object is equal to the mass m of the object times the acceleration a of the object.

For instance, if we have a wagon with a mass of 55 kg that is accelerating at a rate of 0.0255 m/s², we can calculate the force on the wagon using the formula F = m * a:

• m (mass of the wagon) = 55 kg
• a (acceleration) = 0.0255 m/s²

Force F can be calculated as follows:

F = m * a = 55 kg * 0.0255 m/s² = 1.4025 N

Therefore, the force acting on the wagon is 1.4025 Newtons (N).

Answer 2

`a=(3* 7)/(7)+(12)/(7)` (First step for obtaining a common denominator for the two fraction)

`a=(33)/(7)\text{ m/s}^2`

Step-by-step explanation:

`\text{Given Expression: }a=a_1+(F)/(m)`

where,

a is acceleration of an object.(Need to calculate)

`a_1=3.00\text{ m/s}^2`

`F=12.0\text{ Kg.m/s}^2`

`m=7.00\text{ kg}`

`\text{Substitute }a_1, \text{ F, and m into expression and we get}`

`a=3+(12)/(7)`

Now we will simplify above expression for a

First we make common denominator.

Common denominator is 7. So, we make both denominator 7. We multiply by 7 at top and bottom with 3. We get

`a=(3* 7)/(7)+(12)/(7)` (First step for obtaining a common denominator for the two fraction)

Now we combine the numerator

`a=(21+12)/(7)`

`a=(33)/(7)\text{ m/s}^2`