Question

A force 40N acts on a ball of mass 100 GM for 4 Mili second . calculate the acceleration and the impulse

Answer 1

$\huge\underline\blue{\sf Answer:}$

$\large\red{\boxed{\sf Acceleration (a)=400m/s^2 }}$

$\large\red{\boxed{\sf Impulse(I)=16×10^{-2}kg.m/s}}$

$\huge\underline\blue{\sf Solution:}$

$\large\underline\pink{\sf Given: }$

• Force (F) = 40N

• Time (t) = 4ms $\sf{\implies 4×10^{-3}sec}$

• Mass of ball (m) = 0.1kg

$\large\underline\pink{\sf To\:Find: }$

• Acceleration (a) = ?

• Impluse (I) = ?

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We know that ,

According to Newtons second law ,

$\large{\boxed{\sf F=ma }}$

On putting value:

$\large\implies{\sf 40=0.1×a }$

$\large\implies{\sf a={\frac{40}{0.1}} }$

$\large\implies{\sf a=400m/s^2}$

$\huge\red{♡}$$\large\red{\boxed{\sf Acceleration (a)=400m/s^2 }}$

Now ,

$\large{\boxed{\sf Force={\frac{Impulse}{Time}} }}$

$\large\implies{\sf 40={\frac{I}{4×10^{-3}}} }$

$\large\implies{\sf I=40×4×10^{-3} }$

$\large\implies{\sf I=16×10^{-2} }$

$\huge\red{♡}$$\large\red{\boxed{\sf Impulse(I)=16×10^{-2}kg.m/s}}$