A force of 1000 Newton is applied on a 25kgm mass for 5 second. what would be its velocity
Answers
Answer:
It's velocity would be 200 m/s.
Explanation:
Given that:
Force (F) = 1000 N
Mass (m) = 25 kg
Time (t) = 5 sec
Initial velocity (u) = 0
To find:
Velocity
Solution:
According to the first equation of motion, we get
v = u + at
We will use this formula to find out velocity but first we need to find out the acceleration.
We know that,
a = F/m
where a = acceleration
F = force
and m = mass
By substituting the known values, we get
a = 1000/25
= 40 m/s^{2}
2
Now,
v = u + at
→ v = 0 + 40 × 5
→ v = 0 + 200 = 200 m/s
\therefore∴ v = 200 m/s.
Required Answer:-
We have:
- Force acting = 1000 N
- Mass = 25 kg
- Time taken = 5 s
To FinD:
- Velocity of the body?
Step-by-Step Explanation:
First finding the accleration of the body by using the Newton's second law of motion:
• F = ma
Plugging the values of F and m,
⇒ a = F / m
⇒ a = 1000 N / 25 kg
⇒ a = 40 m/s²
Now we have the accleration, initial velocity considering 0, as the body starts from rest and time taken is also provided. By using first equation of motion,
• v = u + at
Plugging the values,
⇒ v = 0 + 40 × 5 m/s
⇒ v = 200 m/s
Hence:
The final velocity of the body is 200 m/s.