Math, asked by XAkashDubeyX7071, 11 hours ago

a force of 10 N acts on a body rest for 10s and causes it to move 20m during this period. what is mass of the body?

Answers

Answered by vpaashish
0

Step 1: Acceleration calculation

Applying Newton's second law

               ∑F=ma

               ⇒F=ma

               ⇒10(N)=20(kg) a

               ⇒a=0.5m/s  2

 

Step 1: Final speed

Since acceleration is constant,

∴ Applying equation of motion

                  v=u+at

u= Initial speed =0

v= Final speed

     v=0+0.5(m/s  2  )×10(s)

     =5m/s

Step 2: Change in momentum ΔP

               ΔP=m(v−u)

                       =20(5−0)kgm/s

                       =100kgm/s

Alternate solution

Impulse J=Force×time

                 =10(N)10(S)

                 =100NS

Impulse J=ΔP  

         ΔP=100kgm/s

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