A force of 16N acts on a body of mass90kg for 2 minutes if the bodyis initially at rest . The final velocity of it is
Answers
Dear student,
Given :-
- force, f = 16 N
- mass, m = 90 kg
- time, t = 2 mins = 120 seconds
- initial velocity, u = 0 m/s
To find :-
- the final velocity of the body
Solution :-
In order to find the final velocity, let us first calculate the acceleration. We know that;
F = ma
Putting the given values in the above formula, we obtain;
a = 16/90
a = 8/45
a = 0.17 m/s²
Now, for the final velocity, we know by the Newtonian equation of motion that;
v = u + at
Putting the given values, we obtain;
v = 0 + 0.17 × 120
v = 0.17 × 120
v = 21.33 m/s
Hence, the final velocity of the body is 21.33 m/s.
Answer:
The final velocity of the given body of mass 90 kg, is: 21.6 m/s
Explanation:
Given the force acting on the body, F = 16N
Mass of the body, m = 90kc Initial velocity of the body, u = 0
The time for which the force acts, t = 2 min = 2x60 sec = 120 sec
From Newton's second law of motion we know that,
F = ma
∴ The acceleration of the body, a = (16N)/(90kg) = 0.18m / (s ^ 2)
Therefore a = 0.18m / (s ^ 2) u = 0 t = 120sec and v =?
From the equation of motion:
v=u+at
v=0+ 0.18m / (s ^ 2) * 120 sec
v = 21.6m / s m/s
The final velocity of the body = 21.6
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