For how time a force 10 N must have acted on a body of mass 25 kg to bring it to rest from a velocity of 2 ms
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ANSWER:
GIVEN:
force= 10N
mass= 25kg
u= 2m/s
v= 0m/s
FORMULA:
f= m(v-u/t)
10N = 25kg ( 0-2/t)
-10/25 = -2/t
( HERE MINUS SIGN WILL CUT)
10/25 ×2 =t
20/25 =t
4/5=t
THEREFORE,
TIME = 0.8 second (ANSWER)
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- A force 10 N must have acted on a body of mass 25 kg to bring it to rest from a velocity of 2 m/s.
Here,
- Force = F ( 10 N )
- Mass = m ( 25 kg )
- Acceleration = a
- Time = t
- Initial velocity = u ( 2 m/s² )
- Final velocity = v ( zero )
{Note: we need to bring body at rest hence, we take v = zero}
First we need to find acceleration of the body.
→ F = m × a
→ 10 = 25 × a
→ a = 10/25
→ a = 0.4 m/s²
Now, we use kinematical equation to find time, to bring it to rest.
→ v = u + at
→ 0 = 2 + (0.4)t
→ t = - 2/0.4
→ t = - 5 sec
Negative sign indicates force act's in opposite direction.
Hence, the body take rest after 5sec.
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