Certain force acting on a 20kg mass changes its velocity from 5ms to 2ms calculate the work done by the force
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hey mate
here is your answer-⬇️⬇️
ᴍᴀss, ᴍ = 20 ᴋɢ
ɪɴɪᴛɪᴀʟ ᴠᴇʟᴏᴄɪᴛʏ, ᴜ = 5 ᴍ/s
ғɪɴᴀʟ ᴠᴇʟᴏᴄɪᴛʏ, ᴠ = 2 ᴍ/s
ᴛɪᴍᴇ, ᴛ = 1s
ғʀᴏᴍ ғɪʀsᴛ ᴇϙᴜᴀᴛɪᴏɴ ᴏғ ᴍᴏᴛɪᴏɴ
ᴠ = ᴜ + ᴀᴛ
ᴏʀ, ᴀ = (ᴠ - ᴜ)/ᴛ
ᴀ = (2 ᴍs-1 - 5 ᴍs-1)/15
ᴀ = -3 ᴍs-2
ғʀᴏᴍ ᴛʜɪʀᴅ ᴇϙᴜᴀᴛɪᴏɴ ᴏғ ᴍᴏᴛɪᴏɴ,
ᴠ² - ᴜ² = 2ᴀs
⇒ (2ᴍs-1)² - (5ᴍs-1)² = 2 x (-3ᴍs-²)
x s
⇒ -21 ᴍ²s-² = -6 ᴍs-² x s
⇒ s = 7/2 ᴍ
ᴡᴏʀᴋ ᴅᴏɴᴇ = ғ x s
ғᴏʀᴄᴇ = ᴍ x ᴀ
ᴛʜᴇʀᴇғᴏʀᴇ,
ᴡ = ᴍ x ᴀ x s
= 20 ᴋɢ x (-3ᴍs-²) x 7/2 ᴍ
= -210 ᴊᴏᴜʟᴇs
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