Question

it is required to increase the velocity of a scooter of mass 50kg from 5 to 25 ms-2 in 2 seconds .calculate the force required​

Answer 1

✤ Given Question ✤

If it is required to increase the velocity of a scooter of mass 50kg from 5m/s to 25 m/s in 2 seconds .Calculate the force required.

✤ Required Answer ✤

Given:

• Mass of the scooter (m)= 50 kg

• Initial velocity (u) = 5m/s

• Find velocity (v) = 25m/s

To calculate:

• Force required (F)

Calculation:

We know that:

• $\boxed { \large \bf \red { F= ma} }$

Where,

✤ F = force

✤ m = mass

✤ a = acceleration

Here, in order to calculate force required firstly we need to calculate acceleration of the object. Therefore,we know that:

• $\boxed { \large \bf \red { a = \dfrac{v-u}{t}} }$

Where,

✤ a = acceleration

✤ v = final velocity

✤ u = initial velocity

✤ t = time

Substituting values:

$\large \sf { a = \dfrac{v-u}{t}}$

$\sf { ➠ a = \dfrac{25-5}{2}}$

$\sf { ➠ a = \dfrac{20}{2}}$

$\sf { ➠ a = 10m/{s}^{2}}$ $\purple { \bigstar }$

Now, we have:

✤ acceleration (a) = $\sf { 10m/{s}^{2}}$

✤Mass of the scooter (m)= 50 kg

✤ Force required (F) = ? ( To be calculated)

$\boxed { \large \bf \red { F= ma} }$

$\sf { ➠ F = 10 \times 50}$

$\sf { ➠ F = 500N}$$\green { \bigstar }$

Therefore, Force required was 500N.

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✤ More Information ✤

• Mass is defined as the quantity of matter contained in it.
• Mass is a scalar quantity.
• SI unit of mass is Kilogram ( kg ).

____

• Force is a push or pull that tends to change the position of an object.
• Force is a vector quantity.
• SI unit of force is Newton.
• Formula: f = ma

____

• Acceleration is the rate of change in velocity with time.
• It is vector quantity.
• SI unit of acceleration is $\tt { m/{s }^{2} }$
• Formula: a = v-u/t , where v = final velocity, u = intial velocity and t is time.

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