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2 years ago

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An intercontinental ballistic missile goes from rest to a speed of 6.50 km/s in 60.0 s. In multiples of g, what is its accelerat

ion?

1 answer:

iragen [17]2 years ago

6 0

Answer:

The acceleration is $11.1g\ m/s^2$

Explanation:

Given that,

Speed $v= 6.50\ km/s=6.5\times10^{-3}\ m/s$

Time t = 60.0 sec

We need to calculate the acceleration

Using formula off acceleration

$a = \dfrac{\Delta v}{t}$

$a=\dfrac{v_{f}-v_{i}}{t}$

We know that,

Missile goes from rest

So, Initial velocity =0

Put the value into the formula

$a =\dfrac{6.50\times10^{3}}{60.0}$

$a=108.33\ m/s^2$

On right hand side multiplying and dividing by g = 9.8m/s²

$a=108.33\times\dfrac{g}{g}$

Put the value of g

$a = \dfrac{108.33}{9.8}g\ m/s^2$

$a = 11.1g\ m/s^2$

Hence, The acceleration is $11.1g\ m/s^2$

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(b). We need to calculate the value of N₀

Using formula of $N_{0}$

$N_{0}=\dfrac{3.70\times10^{6}}{\lambda}$

Put the value into the formula

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Using formula of activity

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Put the value intyo the formula

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The half life is 11.3 hr.

(b). The value of N₀ is $2.38\times10^{11}\ nuclei$

(c). The sample's activity is 1.87 mCi.

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