What is the velocity of a skateboarder whose momentum is 100kg-m/s and the mass is 15kg?

Mathematics

2 answers:

Jobisdone [24]3 years ago

6 0

Answer:

6.67 m/s

Step-by-step explanation:

Ray Of Light [21]3 years ago

6 0

Answer : The correct option is, (D) 6.67 m/s

Explanation : Given,

Momentum = 100 Kg m/s

Mass = 15 Kg

Momentum : It is defined a the product of mass and the velocity of an object.

Formula used :

where,

p = momentum

m = mass

v = velocity

Now put all the given values in the above formula, we get the velocity of a skateboarder.

Therefore, the velocity of a skateboarder is, 6.67 m/s

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

aev [14]

Answer: (B) -625

Step-by-step explanation:

Given the sequence {-500, -100, -20, -4, -0.8, ... }, we know that that the first term (a) is -500 and the ratio (r) is $\dfrac{-100}{-500}=\dfrac{1}{5}$

Input those values into the Sum formula:

$S_n=\dfrac{a(1-r^n)}{1-r}\\\\S_8=\dfrac{-500\bigg(1-\dfrac{1}{5}^n\bigg)}{1-\dfrac{1}{5}}\\\\.\quad=\dfrac{-500\bigg(1-\dfrac{1}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{-500\bigg(\dfrac{390,624}{390,625}\bigg)}{\dfrac{4}{5}}\\\\.\quad=\dfrac{5(-500)(390,624)}{4(390,625)}\\\\.\quad=-624.998\\\\.\quad=-625\quad \text{(rounded to 2 decimal places)}$