Question

A net force of 1,377 N accelerate a car from rest to 62.07 km/h in5.717 seconds. What is the weight of the car?

Answer 1

Using Newton's second law of motion, the weight of the car can be determined by first calculating its acceleration with the given velocity and time, and then multiplying the found mass by Earth's gravitational acceleration.

Step-by-step explanation:

The question involves the concept of Newton's second law of motion, which can be used to calculate the weight of the car given the net force and the acceleration. The formula F = ma can be rearranged to solve for mass. First, we'll need to convert the speed of 62.07 km/h to meters per second (m/s) by dividing by 3.6. Using this, we can calculate the acceleration (a) by dividing the final velocity (v) by the time (t), given by a = v / t. Once the acceleration is found, plug it into the formula to calculate mass, and then weight using weight (W) = mass (m) × gravitational acceleration (g), where g is approximately 9.81 m/s² on Earth.

Answer 2

Given

F: Net force

a: accelaration

v0: initial speed

vf: final speed

t: time

Data

F = 1377 N

v0 = 0 m/s

vf = 62.07 km/h

t = 5.717

Procedure

Newton's second law of motion pertains to the behavior of objects for which all existing forces are not balanced. The second law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object

`F=ma`

Now let us calculate the acceleration of the vehicle. But, first we must transform the units from km/h to m/s

v0 = 0km/h = 0m/s

vf = 62.07 km/h = 17.24 m/s

`\begin{gathered} a=(v_f-v_o)/(t) \\ a=\frac{17.24-0\text{ m/s}}{5.717\text{ s}} \\ a=3.015\text{ m/s}^{}^2 \end{gathered}`

Now let's calculate the mass of the car

Now to calculate the weight of the car

The weight of the car is 4475.8N