A body of mass 2 kg is at rest 500 joule workis done on the body to ra

1.	A body of mass 2 kg is at rest 500 joule workis done on the body to raise it to 10 meters what is the speed
Answer» __________________________ ★ Gɪᴠᴇɴ :- Mass of body = 2kg WORK done = 500 J Distance = 10 m __________________________ ★ Tᴏ Fɪɴᴅ :- Speed of body = ? __________________________ ★ Sᴏʟᴜᴛɪᴏɴ :- To FIND , speed of the body firstly we need to find force acting on the body & ACCELERATION acted . As we know that , W = F × S Where, W → work = 500J F → force = ? S → distance = 10m Substituting the values we have, ➠ 500 = F × 10 ➠ 500 ÷ 10 = F ➠ Force = 50 NF = m × a ➠ 50 = 2 × a ➠ 50/2 = a ➠ acceleration = 25 m/s² ________________________ Now , finding speed of the body Using , v² = u² + 2( aₙₑₜ )S Where, v → final velocity = ? u → initial velocity = 0 m/s aₙₑₜ → net acceleration = 25 m/s² S → distance = 10m Note :- Here , the initial velocity ( u ) will be 0 m/s , because the body is starting from rest. ➥ v² = 0² + 2(25)(10) ➥ v² = 500 ➥ v = √500 ➥ v = 10√5 m/s Hence , speed of the body is 10√2 m/s __________________________

A body of mass 2 kg is at rest 500 joule workis done on the body to raise it to 10 meters what is the speed

Answer»

__________________________

★ Gɪᴠᴇɴ :-

Mass of body = 2kg
WORK done = 500 J
Distance = 10 m

__________________________

★ Tᴏ Fɪɴᴅ :-

Speed of body = ?

__________________________

★ Sᴏʟᴜᴛɪᴏɴ :-

To FIND , speed of the body firstly we need to find force acting on the body & ACCELERATION acted .

As we know that ,

W = F × S

Where,

W → work = 500J
F → force = ?
S → distance = 10m

Substituting the values we have,

➠ 500 = F × 10

➠ 500 ÷ 10 = F

➠ Force = 50 NF = m × a

➠ 50 = 2 × a

➠ 50/2 = a

➠ acceleration = 25 m/s²

________________________

Now , finding speed of the body Using ,

v² = u² + 2( aₙₑₜ )S

Where,

v → final velocity = ?
u → initial velocity = 0 m/s
aₙₑₜ → net acceleration = 25 m/s²
S → distance = 10m

Note :- Here , the initial velocity ( u ) will be 0 m/s , because the body is starting from rest.

➥ v² = 0² + 2(25)(10)

➥ v² = 500

➥ v = √500

➥ v = 10√5 m/s

Hence , speed of the body is 10√2 m/s