Question

Question:
(1)..The body of mass 100kg moving with acceleration 5m/s^2 then find the force?


I need correct explanation of this question of physics
plzz........ don't give any irrelevant answers otherwise i will block them who give here any irrelevant answer
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Answer 1

Answer:

Consider the problem

Given,

The mass of the vehicle m=100kg

The initial velocity u=5m/s.

The time required to stop the vehicle t=

10

1

sec i.e 0.1second.

The final velocity of the vehicle v=0m/s.

As per Newton's second law of motion, we know that force is equal to rate of change of momentum.

F=

dt

dp

Here F and p stands for force and momentum

=m

t

v−u

=100

0.1

[0−5]

N

=−5000N

The Negative sign indicates the force is in opposite direction

Therefore, F=5000N

Hence, Option C is the correct answer.

Answer 2

$\text{\large\underline{\purple{Given:}}}$

Mass of the body (m) = 100 kg

Acceleration (a) = 5 m/s²

$\text{\large\underline{\green{To find:}}}$

Force applied (F) = ?

$\text{\large\underline{\pink{Solution:}}}$

We know F = ma

(just put the given values for the amount of force applied on that body)...

$\implies$ F = 100 × 5

$\implies$ F = 500 N

$\therefore$ The force is 500 Newton.

_____________________________

$\text{\large\underline{\orange{Explore\:more\:!}}}$

Let's learn how to derive the formula of force !

Newton's 2nd law of motion states that the rate of change of momentum is directly proportional to the force pplied and takes place in direction of force.

So, we know that Force is directly proportional to change in momentum/time

There is a rule tha if we remove that proportionality sign we have to put a constant.

$\implies$ Force = k × Change in momentum/time (here, k is constant)

The value of constant k is 1.

$\implies$ F = mv - mu/t

$\implies$ F = m(v-u)/t

We know, a = v - u/t

$\implies$ F = ma

And we are done !

Hope it helped you dear...