Question

a cricket ball of mass 500 g travelling with a speed of 20 m/s is stopped in 2 seconds by applying the force . Find the value of force ​

Answer 1

Gɪᴠᴇɴ :-

• Mass (m) = 500 g = 0.5 kg
• Initial velocity (u) = 20 m/s
• Final velocity (v) = 0 m/s --(At rest)
• Time taken (t) = 2 s

ᴛᴏ ғɪɴᴅ :-

• Force (F)

sᴏʟᴜᴛɪᴏɴ :-

On using 1st equation of motion, we get,

➭ v = u + at

➭ 0 = 20 + a×2

➭ -20 = 2a

➭ a = -20/2

➭ a = -10 m/s²

Hence,

• Acceleration = -10 m/s²

Now,

We know that,

➭ Force = Mass × Acceleration

➭ F = m × a

➭ F = 0.5 × -10

➭ F = -50 kg. m/s or Newtons

Hence,

• Force (F) is 50 N

IMPORTANT NOTE :-

• Negative (-) sign in acceleration shows that body is decelerating.

• Negative (-) sign in force shows that force is applied in opposite directions of motion of ball.

Answer 2

Answer:

${\bf{\orange{GIVEN:-}}}$

• Mass (m) = 500 g = 0.5 kg
• Initial velocity (u) = 20 m/s
• Final velocity (v) = 0 m/s --(At rest)
• Time taken (t) = 2 s

${\bf{\orange{TO FIND :-}}}$

Force (F)

${\bf{\orange{SOLUTION :-}}}$

On using 1st equation of motion, we get,

➡️ v = u + at

➡️ 0 = 20 + a×2

➡️-20 = 2a

➡️L a = -20/2

➡️ a = -10 m/s²

Hence,

Acceleration = -10 m/s²

Now,

We know that,

➡️Force = Mass × Acceleration

➡️ F = m × a

➡️ F = 0.5 × -10

➡️ F = -50 kg. m/s or Newtons

Hence,

$\red{\boxed{\boxed{\boxed{Force (F) is 50 N}}}}$

MORE INFORMATION

• Negative (-) sign in acceleration shows that body is decelerating.
• Negative (-) sign in force shows that force is applied in opposite directions of motion of ball.