Question

The kinetic energy of an object of mass 'm' moving with a velocity of 5 m/s is 25 J. what will be its kinetic energy when its velocity is increased three times .
Those who will answer will get 50 points and will be marked as Brainliest​

Answer 1

$\huge {\underline{\green{Given:-}}}$

• Kinetic Energy ,KE = 25 J

• Velocity ,V = 5m/s

$\huge {\underline{\pink{To Find:-}}}$

•Kinetic energy when its velocity is increased three times.

$\huge {\underline{\blue{Solution:-}}}$

Firstly we calculate the mass of the body . As we know that Kinetic Energy is the energy possess by body due to its motion.

• KE = 1/2mv²

Where

KE is the Kinetic Energy

m is the mass of the body

v is the final velocity

Substitute the value we get

→ 25 = 1/2×m× 5²

→ 25×2 = m × 25

→ 50 = m × 25

→ m = 50/25

→ m = 2 kg

Mass of the object is 2kg .

If the velocity of the object increase by three times .Then the new velocity is 3 × 5 = 15m/s

Now calculating the New kinetic Energy

• KE ' = 1/2mv²

Substitute the value we get

→ KE' = 1/2× 2 × 15²

→ KE' = 15×15

→ KE' = 225 J

Therefore, the new kinetic energy of the object is 225 Joules.

Answer 2

Required Answer:

Let the mass be m

$\sf \: = 5 \: m/s \\ \\ </p><p></p><p> \sf \: K.E = 25 J \\ \\ </p><p></p><p> \sf \: K.E = \frac{1}{2} \: m ^2 \\ \\ </p><p></p><p> \sf \: 25 = \frac{1}{2} m (5)^2 \\ \\ </p><p></p><p> \sf \: 25 \: \times \: 2 = 25m \\ \\ </p><p></p><p> \sf \: m = 2 \: kg$

Now if the velocity becomes 3 times then the velocity is

$\\ \: 3 \times 5 = 15 \: m/s$

Now new K.E =

$\\ \: \frac{1}{2} \: \times 2 \times 15^2$

${ \huge{ \boxed{ \sf{ \orange{225 \: J}}}}}</p><p>$

The new kinetic energy of object is 225 J