Answer to Question #121515 in Mechanics | Relativity for Hanna

Question #121515
A ball of 1.2kg with velocity 4ms-1 hit by a car which moving in same direction with the ball. the velocity of the ball increase to 10ms-1 in 0.5s. what is the impulse on the ball?
Expert's answer

Explanations & Calculations

  • Impulse is defined as the product of force & the time during which that force is applied.
  • With the collision both the objects experience a mutual impulse which causes any increment or decrement in their velocities.
  • As it's been stated, that impulse has increased it's velocity.

  • In simplified form the relationship is written,

"\\qquad\\qquad\n\\begin{aligned}\n\\small I &=F t = \\small \\Delta mv=m\\Delta v\n\\end{aligned}"

  • Therefore, applying that along the moving direction, impulse could be found as follows.

"\\qquad\\qquad\n\\begin{aligned}\n\\small \\overrightarrow I &= \\small 1.2kg\\times(\\overrightarrow {10}ms^{-1} -\\overrightarrow {4}ms^{-1})\\\\\n&= \\small 1.2kg \\times 6 ms^{-1}\\\\\n&= \\small \\bold{7.2kgms^{-1}}\n\\end{aligned}"

  • Extra
  • Impulsive force F could be found to be,

"\\qquad\\qquad\n\\begin{aligned}\n\\small \\overrightarrow {Ft} &= \\small 7.2kgms^{-1}\\\\\n\\small \\overrightarrow F &= \\small \\frac{7.2}{0.5s}\\\\\n&= \\small 14.4N\n\\end{aligned}"

Need a fast expert's response?

Submit order

and get a quick answer at the best price

for any assignment or question with DETAILED EXPLANATIONS!


No comments. Be the first!

Leave a comment

New on Blog