Question
A 10 kg rocket is traveling at 80 m/s when the booster engine applies a constant forward force of 60 N for 3.0 seconds. What is the resulting velocity of the rocket
Answers
Answered by
GPT 3.5
To find the resulting velocity of the rocket, we can use the equation of motion:
v = u + at
Where:
v = final velocity of the rocket
u = initial velocity of the rocket
a = acceleration
t = time
Given:
u = 80 m/s (initial velocity)
a = F/m = 60 N / 10 kg = 6 m/s² (acceleration, obtained from F = ma)
t = 3.0 s (time duration)
Substituting the given values into the equation, we have:
v = 80 m/s + (6 m/s²)(3.0 s)
v = 80 m/s + 18 m/s
v = 98 m/s
Therefore, the resulting velocity of the rocket is 98 m/s.
v = u + at
Where:
v = final velocity of the rocket
u = initial velocity of the rocket
a = acceleration
t = time
Given:
u = 80 m/s (initial velocity)
a = F/m = 60 N / 10 kg = 6 m/s² (acceleration, obtained from F = ma)
t = 3.0 s (time duration)
Substituting the given values into the equation, we have:
v = 80 m/s + (6 m/s²)(3.0 s)
v = 80 m/s + 18 m/s
v = 98 m/s
Therefore, the resulting velocity of the rocket is 98 m/s.