Acceleration Calculation of an Automobile
What is the acceleration of an automobile of mass 1.81 × 10³ kg when it is subjected to a net forward force of 3.36 × 10³ N?
Newton's Second Law of Motion
Calculating Acceleration
To find the acceleration of the automobile, we can rearrange the formula to solve for acceleration (\( a \)):
\[ a = \frac{F}{m} \]
Substitute the given values into the formula:
\[ a = \frac{3.36 \times 10^3 \, \text{N}}{1.81 \times 10^3 \, \text{kg}} \]
\[ a = 1.86 \, \text{m/s²} \]
Therefore, the acceleration of the automobile is 1.86 m/s². This means that for every second the net forward force of 3.36 × 10³ N is applied to the automobile, it will increase its speed by 1.86 m/s.
It is important to note that this calculation assumes ideal conditions without considering other resistive forces such as friction or air resistance which may affect the actual acceleration of the vehicle.
What is the acceleration of the automobile when subjected to a net forward force of 3.36 × 10³ N with a mass of 1.81 × 10³ kg?
Calculating Acceleration
For the given values:
Net force (\( F \)): 3.36 × 10³ N
Mass (\( m \)): 1.81 × 10³ kg
The formula to calculate acceleration is:
\[ \text{acceleration} = \frac{\text{net force}}{\text{mass}} \]
Plugging in the values, we get:
\[ \text{acceleration} = \frac{3.36 \times 10³ \, \text{N}}{1.81 \times 10³ \, \text{kg}} \]
\[ \text{acceleration} = 1.85 \, \text{m/s²} \]
Therefore, the acceleration of the automobile is 1.85 m/s² when subjected to a net forward force of 3.36 × 10³ N with a mass of 1.81 × 10³ kg.