Question

A body of mass 5 kg is moving with speed 144 km/h then its momentum is 2x10^x gr-cm/sec then find 'x'

Answer 1

Answer:

7

Explanation:

Given :

• Mass of the object = m = 5 kg = 5000 grams

• Speed of the object = v = 144 km/h

• Momentum of the object = 2×10^x gr-cm/sec

To find :

• Value of X

144 km/h = 144×5/18 =40 m/s

40 m/s = 4000 cm/s

Momentum = mass×velocity

2×10^x g-cm/sc = 5000×4000

2×10^x = 20000000 g-cm/sec

10^x = 10000000

X = 7

The value of x in the given equation is equal to 7

Answer 2

Answer:

Given:

• A body of mass 5 kg is moving with speed 144 km/h then its momentum is 2x10^x gr-cm/sec.

Find:

• Find the value of x.

Using formula:

★ ${\sf{\underline{\boxed{\orange{\sf{Momentum = Mass \times Velocity}}}}}}$

Note:

⇒ $\bold{144 = 144 \times \dfrac{5}{18}}$

⇒ ${\sf{\underline{\boxed{\red{\sf{40 \: m/s}}}}}}$

• We know that 49 m/s is equal to 4000 cm/s

Calculations:

⇒ $\bold{2 \times 10^{x \: g-cm/sc}}$

⇒ $\bold{5000 \times 4000}$

⇒ $\bold{2 \times 10^{x}}$

⇒ ${\sf{\underline{\boxed{\red{\sf{20000000 \: g - cm/sec }}}}}}$

⇒ $\bold{10^{x} = 10000000}$

• We know that 10000000 has 7 zeros.

Therefore, value of ${\sf{\underline{\boxed{\green{\sf{x = 7 }}}}}}$.