a force of 5 N changes the velocity of a body from 10m/s to 20m/s in 6s. the force required to bring the same change in 1.5s is
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Answer:
A Force of 20N is required to bring the same change in 1.5s.
Step-by-step explanation:
We have,
F = 5N
u = 10 m/s
v = 20 m/s
t = 6 sec.
Now, according to Newton 2nd law of motion,
we know that,
F = ma
Now,
a = (v - u)/t
a = (20 - 10)/6
a = 10/6
a = (5/3) m/s²
Then,
According to the Question,
5N = m × (5/3)
m = 5 ÷ (5/3)
m = 5 × (3/5)
m = 3 kg
Now, we need the force so that it stops at 1.5s, with same conditions
So,
a = (20 - 10)/1.5
a = 10/1.5
a = 100/15
a = (20/3) m/s²
So,
F = m × a
F = 3 × (20/3)
F = 20N
Hence,
A Force of 20N is required to bring the same change in 1.5s.
Hope it helped and believing you understood it........All the best
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