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?

To calculate the acceleration of the automobile, we can use Newton's second law of motion, which states that the acceleration of an object is directly proportional to the net force applied to it and inversely proportional to its mass.

Newton's Second Law of Motion

Newton's second law states that the acceleration (\( a \)) of an object is directly proportional to the net force (\( F \)) applied to it and inversely proportional to its mass (\( m \)). Mathematically, it can be represented as: \[ F = ma \] Given Data: Net force (\( F \)): 3.36 × 10³ N Mass (\( m \)): 1.81 × 10³ kg

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?

The acceleration of the automobile can be calculated using Newton's second law of motion, which relates the net force applied to an object to its acceleration and mass.

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.

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