Question

verify Newton's second law of motion mathematically ​

Answer 1

ғ= ғᴏʀᴄᴇ

ᴅ= ᴅɪsᴛᴀɴᴄᴇ

ᴠ= ᴠᴇʟᴏᴄɪᴛʏ

ᴍ= ᴍᴀss

ᴀ= ᴀᴄᴄᴇʟᴇʀᴀᴛɪᴏɴ

ᴛ = ᴛɪᴍᴇ

ғ = ғᴏʀᴄᴇ

ᴅᴇʀɪᴠᴀᴛɪᴏɴ:-

☞ғ = ᴅᴘ/ᴅᴛ

☞ᴘ= ᴍᴠ

☞ғ= ᴅ(ᴍᴠ) /ᴅᴛ

☞ғ= ᴍ× ᴅᴠ/ᴅᴛ

☞ғ=ᴍᴀ

...✌✌

Answer 2

Answer:

We know,

$\huge weight(force)= m \times g$

according to Newton's Second law....

• force is directly proportional to acceleration...
• force is directly proportional to mass...

•°•combining 2 equations....

• force is directly proportional to products of mass and acceleration...

•°•F=k×m×a

where k is constant

Therefore, according to Newton's Second law....

force = m×a