A force of 4N acts on a body at rest of 2kg for 4sec .after next 4sec 2N force operates for 2 sec. Calculate the distance travelled in these 10 sec
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Answer:
Step-by-step explanation:
Force = 4 N., Mass = 2 kg.
Using the Formula,
F = ma , a = F/m a = 4/2
a = 2 m/s²
Now, u = 0
t = 4 seconds
v - u = at
⇒ v - 0 = 2 × 4
⇒ v = 8 m/s.
Now, v² - u² = 2aS
64 = 2 × 2 × S
S = 16 m.
It is the distance covered in first 4 seconds.
Now, for the distance covered in another 6 seconds.
u = v of above = 8 m/s.
t = 10 - 4 = 6 seconds.
a = 0 [Force is not acting now]
S = ut + 1/2at²
∴ S = 8 × 6 + 0
∴ S = 48 m.
Total distance covered in 10 seconds = 16 + 48 = 64 m
Answered by
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4N force means acceleration is 4/2 =2
so by distance formula, s= 16m
and for next 2 sec acc. is 1
so distance is 2m
therefore total distance is 16+2 = 18 m.
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