a force is applied on a car of mass 1800kg. 80that its spread in creases from 36km to 72km /hr find the work done
Answers
Answer:
270 kJ
Explanation:
Given :
Mass ( m ) = 1800 kg
Distance ( s ) = 80
Final velocity ( v ) = 72 km / hr or 20 m / sec
Initial velocity ( u ) = 36 km / hr or 10 m / sec
From third equation we have ,
v² = u² + 2 a s
a = ( v² - u² ) / 2 s
Putting values here
a = ( 400 - 100 ) / 160
a = 300 / 160
a = 15 / 8 m / sec²
Now :
F = m a
F = 1800 × 15 / 8
F = 225 × 15 N
F = 3375 N
Now for work done :
W = F . s
W = 3375 × 80 J
W = 2,70,000 J
W = 270 kJ
Hence , we get answer .
AnswEr :
Work Done is 270 kJ.
Explanation :
• Mass ( m ) = 1800 kg
• Distance ( s ) = 80
• Initial Velocity ( u ) = 36 km / hr × 5 / 18
= 10 m / sec
• Final Velocity ( v ) = 72 km / hr × 5 / 18
= 20 m / sec
Using third Equation of Motion :
⇒ v² = u² + 2as
⇒ (20)² = (10)² + 2 × a × 80
⇒ 400 = 100 + 160a
⇒ 160a = 300
⇒ a = 300 / 160
⇒ a = 15 / 8 m / sec²
We Know the Formula of Work Done as :
⇒ W = F × s
⇒ W = ma × s [ Force = Mass × Acc. ]
⇒ W = 1800 × 15 / 8 × 80
⇒ W = 1800 × 15 × 10
⇒ W = 2,70,000 J
⇒ W = 270 kJ
჻ Work Done by Car is 270 kJ.