Question

the ke of an object of mass, m moving with a velocity of 5ms_1 is 50 j. what will the kE when its velocity is increased four time​

Answer 1

Given

• Velocity ,v = 5m/s

• Kinetic Energy ,KE = 50 J

• Velocity increase four times = 4×5 = 20m/s

To Find:-

• Kinetic energy after increasing velocity ,KE'

Solution:-

As we know that the energy possed by body due to its motion is called Kinetic Energy.

• KE = 1/2mv²

Firstly we calculate the mass of object.

Substitute the value we get

→ 50 = 1/2×m × 5²

→ 100 = m ×25

→ m = 100/25

→ m = 4kg

So, the mass of object is 4kg.

Now, Calculating the kinetic energy when its velocity increased four times.

• KE' = 1/2mv²

Substitute the value we get

→ KE' = 1/2 ×4 × 20²

→ KE' = 2×400

→ KE' = 800 j

Therefore, the kinetic energy after increasing the velocity is 800 Joules .

Answer 2

$\huge{\boxed{\rm{\red{Question}}}}$

The ke of an object of mass, m moving with a velocity of 5ms_1 is 50 j. what will the kE when its velocity is increased four time

$\huge{\boxed{\rm{\red{Answer}}}}$

${\bigstar}\large{\boxed{\sf{\pink{Given \: that}}}}$

• Velocity = 5m/s
• Kinetic energy = 50 J
• Increased velocity for 4 times = ( 4 × 5 ) = 20m/s

${\bigstar}\large{\boxed{\sf{\pink{To \: find}}}}$

• Kinetic energy after increasing velocity.

${\bigstar}\large{\boxed{\sf{\pink{Solution}}}}$

$\large\green{\texttt{As we know that}}$

□ The energy possed by the body due to its motion is called "Kinetic energy".

⚪KE = 1/2 mv²

$\large\purple{\texttt{Firstly we have to calculate the mass of object}}$

$\large\purple{\texttt{Substitute the value we get,}}$

• 50 = 1/2 × m × 5²
• 100 = m × 25
• m = 100/25
• m = 4 kg

So the mass of object is 4 kg.

Now calculating the kinetic energy when it's velocity increased 4 times.

• KE¹ = 1/2 mv²

$\large\purple{\texttt{Substitute the value we get,}}$

• KE¹ = 1/2 × 4 × 20²
• KE¹ = 2 × 400
• KE¹ = 800 J

Therefore, the kinetic energy after increasing the velocity is 800 Joules.

@Itzbeautyqueen23

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