Question

plzzzz help ???!!!!!!!! ​

Answer 1

$\bigstar$ To Find:-

How much force will be needed to increase the velocity of a body of mass 1 kg from 15 m/s to 45 m/s in 15 sec

$\bigstar$ Solution:-

We know that

$\red{\rm \longrightarrow F=ma}$

Here;

F = force

m = mass

a = acceleration

Units;

F = Newton (N)

m = kilogram (kg)

a = metres per second squared (m/s²)

We know that:-

$\orange{\rm \longrightarrow a=\left(\dfrac{v-u}{t}\right)}$

Here:;

a = acceleration

u = initial velocity

v = final velocity

t = time

Units;

a = metres per second squared (m/s²)

u = metres per second (m/s)

v = metres per second (m/s)

t = second (s)

Combining both the formulas:-

$\rm Substituting, \ a=\left(\dfrac{v-u}{t}\right) \ in \ F=m(a)$

We get;

$\pink{\rm \longrightarrow F=m \left(\dfrac{v-u}{t}\right)}$

According to the question

We are asked to find the force

Therefore

We must find "F"

Given that

How much force will be needed to increase the velocity of a body of mass 1 kg from 15 m/s to 45 m/s in 15 secs

Hence

m = 1 kg

u = 15 m/s

v = 45 m/s

t = 15 s

Substituting the values

We get

$\blue{\rm \longrightarrow F=1 \left(\dfrac{45-15}{15}\right) \ N}$

$\green{\rm \longrightarrow F=\left(\dfrac{30}{15}\right) \ N}$

Hence:

$\purple{\rm \longrightarrow F=2 \ N}$

Therefore:-

$\checkmark$ Force = 2 Newtons

Answer 2

$\bigstar$ To Find:-

How much force will be needed to increase the velocity of a body of mass 1 kg from 15 m/s to 45 m/s in 15 sec

$\bigstar$ Solution:-

We know that

$\red{\rm \longrightarrow F=ma}$

Here;

F = force

m = mass

a = acceleration

Units;

F = Newton (N)

m = kilogram (kg)

a = metres per second squared (m/s²)

We know that:-

$\orange{\rm \longrightarrow a=\left(\dfrac{v-u}{t}\right)}$

Here:;

a = acceleration

u = initial velocity

v = final velocity

t = time

Units;

a = metres per second squared (m/s²)

u = metres per second (m/s)

v = metres per second (m/s)

t = second (s)

Combining both the formulas:-

$\rm Substituting, \ a=\left(\dfrac{v-u}{t}\right) \ in \ F=m(a)$

We get;

$\pink{\rm \longrightarrow F=m \left(\dfrac{v-u}{t}\right)}$

According to the question

We are asked to find the force

Therefore

We must find "F"

Given that

How much force will be needed to increase the velocity of a body of mass 1 kg from 15 m/s to 45 m/s in 15 secs

Hence

m = 1 kg

u = 15 m/s

v = 45 m/s

t = 15 s

Substituting the values

We get

$\blue{\rm \longrightarrow F=1 \left(\dfrac{45-15}{15}\right) \ N}$

$\green{\rm \longrightarrow F=\left(\dfrac{30}{15}\right) \ N}$

Hence:

$\purple{\rm \longrightarrow F=2 \ N}$

Therefore:-

$\checkmark$ Force = 2 Newtons