Question

A body is moving with a velocity of 54km/hr. Then a force was applied and it started accelerating and its velocity became 108km/hr in 38.If the mass of the body is 500kg, the value of force will be:​

Answer 1

❏ Given :

Initial velocity, u is 54km/h

Its velocity became 108km/h

Time , T is 3 second

Mass of the body is 500 kg

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

❏ To find :

Force

❏ Let's find :

u = 54 km\h

${\large{\longrightarrow{\bf{ {\cancel\frac{54 \times 5}{18} = 15m \s }}}}}$

v = 108 km\h

${\large{\longrightarrow{\bf{ {\cancel\frac{108 \times 5}{18} = 30 m\s}}}}}$

Acceleration (a) = v-u/t

${\large{\longrightarrow{\bf{ {\frac{30 -15}{3} }}}}}$

${\large{\longrightarrow{\bf{ {\frac{15}{3} }}}}}$

$\sf\red{ = a = 5}$

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Acceleration (a) is 5m/s².

Now,

Force (F) ma

⟶ F = 500 × 3

⟶ F = 2500

▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬▬

❏ Hence,

The value of force is 2500.

Answer 2

❥ Given -

Initial velocity, u is 54km/h

Its velocity became 108km/h

Time , T is 3 second

Mass of the body is 500 kg

☞ To Find :-

Force

➜ Let's find

u= 54 km/h

→ 54×5 /18 = 15m /s

v=108 km /h

→ 108 × 5 /18 = 30m /s

Acceleration (a)= v-u/t

→ 30 - 15/3

→ 15/3

a=5

Acceleration (a) is 5m/s².

➜ Now,

Force (F) ma

→ F = 500 × 3

→ F = 2500

Hence,

Ur answer is 2500