Question

a body of mass 10 kg is moving with a velocity of 5 m/s attainsvof 35m/s in 5 second find the force applied on body to change its velocity
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Answer 1

GIVEN :-

• Initial velocity , u = 5 m/s.
• Final velocity , v = 35 m/s.
• Time , t = 5 seconds.
• Mass of body , m = 10 kg.

TO FIND :-

• The force applied , F

SOLUTION :-

$\\ \underline{ \bigstar \: \textsf{Apply the 1st \: Equation of motion.}}$

$: \implies \displaystyle \sf \:v = u + at$

$: \implies \displaystyle \sf \: 35 \: ms ^{ - 1} = 5ms ^{ - 1} + a \times 5$

$: \implies \displaystyle \sf \:35 \: ms ^{ - 1} - 5 \: ms ^{ - 1} = 5s \times a$

$: \implies \displaystyle \sf \:30 \: ms ^{ - 1} = 5s \times a$

$: \implies \displaystyle \sf \:a = \dfrac{30 \: ms ^{ - 1} }{5}$

$: \implies \underline{ \boxed{\displaystyle \sf \bold{ \:a = 6 \: ms ^{ - 2} }}}$

__________________…

$\underline{ \bigstar \: \textsf{Apply the \: formula \: of \: force .}}$

$: \implies \displaystyle \sf \:Force = mass \times Acceleration$

$: \implies \displaystyle \sf \:Force =10 \: kg \times 6 \: ms^{ - 2}$

$: \implies \displaystyle \sf \:Force =60 \: kg.ms ^{ - 2}$

$: \implies \underline{ \boxed{ \displaystyle \sf \bold{ \:Force =60 \: N}}}$

Answer 2

Explanation:

Given : -

• Mass = 10 kg

• initial velocity (u) = 5 m/s

• final velocity (v) = 35 m/s

• time (t) = 5 seconds

To Find : -

• find the force applied on body to change its velocity

Solution : -

☯ by using first equation of motion

v = u + at

✪ Substitute all values : ✪

➻ 35 = 5 + 5a

➻ 35 - 5 = 5a

➻ 30 = 5a

➻ a = 30 / 5

➻ a = 6 m/s²

Force = mass × acceleration

✪ Substitute all values : ✪

➩ Force = 10 × 6

➩ Force = 60 Newton