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QUESTION:
A force of 50 N acts on a body of mass 5 kg for 4 s then the impulse of force and acceleration of the body are
ANSWER:
- Impulse = 200 Ns.
- Acceleration = 10 m/s².
GIVEN:
- A force of 50 N acts on a body of mass 5 kg for 4 s.
TO FIND:
- Impulse.
- Acceleration.
FORMULAE:
- F = Ma
- v = u + at
- Impulse = m(v - u)
EXPLANATION:
F = Ma
F = 50 N
M = 5kg
50 = 5a
a = 10 m/s²
v = u + at
u = 0
a = 10 m/s²
t = 4 s
v = 0 + 10(4)
v = 40 m/s
Impulse = m(v - u)
Impulse = 5(40 - 0)
Impulse = 5(40)
Impulse = 200 Ns.
Hence Impulse = 200 Ns and acceleration = 10 m/s².
Answered by
62
◘ Given ◘
A force of 50 N acts on a body of mass 5 kg for 4 sec.
- F = 50 N
- m = 5 kg
- t = 4 s
◘ To Find ◘
If the impulse of the force and acceleration of the body are
a) 200 N-sec and 50 m/sec²
b) 200 N and 10 m/sec²
c) 100 N and 50 m/sec²
d) 100 N and 10 m/sec²
◘ Solution ◘
We know,
► Impulse, I = Ft
Putting the values :-
→ I = 50 × 4
→ I = 200 N-s
__________________
We also know,
► F = m × a
Putting the values :-
→ 50 = 5 × a
→ a = 50/5
→ a = 10 m/s²
Therefore, the answer is (b) 200 N-s and 10 m/s².
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