Answer:
We can use the formula for momentum to find the initial and final momentum of the body:
p = mv
where p is momentum, m is mass, and v is velocity.
Initial momentum:
p1 = mv1
p1 = 5 kg ( 2.0 m/s )
p1 = 10 kg m/s
Final momentum:
p2 = m(v2)
p2 = 5 kg ( 8.0 m/s )
p2 = 40 kg m/s
Therefore, the initial momentum of the body is 10 kg m/s and the final momentum is 40 kg m/s.
for b, we can use the formula for impulse to find the impulse received by the body:
J = F(t)
where J is impulse, F is force, and t is time.
To find the force, we can use Newton's second law of motion:
F = ma
The acceleration:
a = (v2 - v1) / t
a = (8.0 m/s - 2.0 m/s) / 5 s
a = 1.2 m/s^2
Now we can find the force acting on the body:
F = ma
F = 5 kg (1.2 m/s)^2
F = 6 N
Finally, we can find the impulse received by the body:
J = F(t)
J = 6 N5 s
J = 30 N s
Therefore, the body received an impulse of 30 N s