Question

a force of 10 Newton acting on 10 kg mass for 4 seconds provides it some velocity . calculate the velocit​

Answer 1

Answer:

4 m/ sec

Step-by-step explanation:

F=10N

M=10kg

Time= 4sec

v=

so as we know

F=m×a

10=10×a

10/10=a

1m/sec= a

v=u+at

v=0+1×4

v=4m/sec

Answer 2

To Find :

• The velocity acquired by the object.

Given :

• Force = 10 N
• Mass = 10 kg
• Time taken = 4 s

We know :

⠀⠀⠀⠀⠀Force :

⠀⠀⠀⠀⠀⠀⠀⠀(In horizontal motion)

$\underline{\boxed{\bf{Force = Mass \times Acceleration}}}$

⠀⠀⠀⠀⠀First Equation of Motion :

⠀⠀⠀⠀⠀⠀⠀⠀⠀(In horizontal motion)

$\underline{\boxed{\bf{v = u + at}}}$

Where :-

• v = Final Velocity
• u = Initial Velocity
• a = Acceleration
• t = Time Taken

Concept :

To Find the velocity of body , first we have to find the acceleration produced by it .

So by using the First Equation of Motion ,we can find the acceleration

And after finding the acceleration , we can use the first Equation of Motion to determine it's velocity.

[Note :- The Initial Velocity of the body will 0.]

Solution :

⠀⠀⠀To Find the acceleration produced :

Using the formula and substituting the values in it, we get :-

$:\implies \bf{F = ma}$

$:\implies \bf{10 = 10 \times a}$

$:\implies \bf{\dfrac{10}{10} = a}$

$:\implies \bf{1 = a}$

$\therefore \bf{a = 1 ms^{-2}}$

Hence, the acceleration produced is 1 m/s².

⠀⠀⠀⠀⠀⠀⠀Velocity of the body :

$:\implies \bf{v = u + at} \\ \\ \\ :\implies \bf{v = 0 + 1 \times 4} \\ \\ \\ :\implies \bf{v = 1 \times 4} \\ \\ \\ :\implies \bf{v = 4} \\ \\ \\ \therefore \bf{v = 4 ms^{-1}}$

Hence, the velocity of the body is 4 m/s.