Question

An object having 10 kg mass moves with 5 m/s velocity. What will be the velocity on applying 25 N constant force after 4 s ?​

Answer 1

Given :

Mass of the body is (m = 10 kg)

Initial velocity (u = 5 m/s)

Applied force (F = 25N)

Time taken is (t = 4s)

Required to find :

Final velocity (v)

$\orange{ \huge \sf \: Solution \: ..}$

Firstly lets find out the acceleration of the body by using relati.on between force , mass and acceleration.

$\: \: \: \longrightarrow{ \sf {f \: = \bigg \{ \: m \times a} \bigg \}}$

$\longrightarrow \sf \: 25 \: = \bigg \{10 \times a \bigg \}$

$\longrightarrow \sf \: a = \bigg \{\dfrac{25}{10} \bigg \}$

$\longrightarrow \sf \: a = \dfrac{5}{2} ms {}^{ - 2} = 2.5$

Now, finding the final velocity by using first equation of motion..

$\longrightarrow \sf{ \bigg[v = u + at \bigg]}$

$\longrightarrow \sf \: \bigg[v = 5 + (2.5)4 \bigg]$

$\longrightarrow \sf \: \bigg[v = 5 + 10\bigg]$

$\boxed{ \large \sf \: v = 15 \: ms {}^{ - 1} }$

∴The velocity after 4 s by applying constant force 25N is 15 m/s

_________________

Know more :-

v = u + at

s = ut + ½ at²

v² - u² = 2as

where,

v = final velocity

u = initial velocity

a = acceleration

t = time taken

s = distance covered

Answer 2

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