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# 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?
1
2020-06-11T10:35:09-0400

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,

• 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}"

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