contestada

. A small toy car having 300 grams of mass and going straight with an initial velocity of 13 m/s. When the toy car collides with an obstacle, a resistive force of 4 N acts upon it. The speed of the toy car reduced and reached 8 m/s. Draw its free body diagram and then find the time for the toy car to be into rest position?

Respuesta :

ajeigbeibraheem

The free-body diagram is attached in the image below. The time for the toy car to be in rest position is 0.6 s

From the given information:

  • The mass of the toy car = 300 g = 0.3 kg
  • The initial velocity (u) of the car = 13 m/s
  • The resistive force F_r acting on the car = 4 N
  • The speed of the car (v) = 8 m/s

A force is regarded as a push that causes an alteration in motion of an object within a specified distance. It is usually expressed by the formula:

  • Force = mass × acceleration

∴

  • acceleration = Force/mass
  • acceleration = (4 / 0.3) m/s²
  • acceleration = 13.33 m/s²

Using the first equation of motion for the time to bring the car to rest from it reduced speed of 8 m/s;

  • v' = v + at

since the final speed to bring the car in rest position is (0), then:

0 = 8 -  13.33(t)

13.33(t) = 8

t = 8/13.33

t = 0.6 seconds

Learn more about the equation of motion here:

https://brainly.com/question/19959461?referrer=searchResults

Ver imagen ajeigbeibraheem

Otras preguntas