katieh8
Answered

Get the answers you need at Westonci.ca, where our expert community is dedicated to providing you with accurate information. Join our Q&A platform to connect with experts dedicated to providing precise answers to your questions in different areas. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

what force much be applied to stop a 1400kg car that is initially traveling at 13 m/s over a 5 second time period

Sagot :

Answer:

As per Provided Information

  • Mass of car m is 1400Kg
  • Initial velocity u is 13m/s
  • Time taken to stop t is 5 second .
  • Final velocity v is 0m/s

we have been asked to determine the force applied to stop the car. First we will calculate the acceleration of the car.

[tex] \boxed{\bf \: a \: = \dfrac{(v - u)}{t}}[/tex]

Substituting the value and let's solve it

[tex] \longrightarrow\sf \: a \: = \dfrac{0 - 13}{5} \\ \\ \\ \longrightarrow\sf \: a \: = \cfrac{ - 13}{5} \\ \\ \\ \longrightarrow\sf \: a \: = - 2.6 \: {ms}^{ - 2} [/tex]

Now, let's calculate the force applied to stop the car .

[tex] \pink{\boxed{\bf \: F = ma}}[/tex]

Substituting the value we get

[tex] \longrightarrow \sf \: F = 1400 \times ( - 2.6) \\ \\ \\ \longrightarrow \sf \: F = - 3640 \: N[/tex]

Here , negative sign show that the " Force is acting in opposite direction of the motion"

Therefore,

  • 3640 Newton force is required to stop the car .

Thank you for your visit. We're dedicated to helping you find the information you need, whenever you need it. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.