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hjlf
2 years ago
8

A pitcher throws a 9 kg baseball in a straight line. Its momentum is 2.1 kg-m/s. What is the velocity of the

Mathematics
1 answer:
Zina [86]2 years ago
3 0

Answer:

0.23\:\mathrm{m/s}

Step-by-step explanation:

The momentum of an object is given by p=mv, where m is the mass of the object and v is the velocity of the object.

What we're given:

  • object's mass m
  • object's momentum p

Substituting given values, we can solve for v:

2.1=9v,\\v=\frac{2.1}{9}\approx \boxed{0.23\:\mathrm{m/s}}

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The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f
Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

  • Direct proportion means that two quantities increase or decrease in the same ratio
  • If y is directly proportional to x (y ∝ x) , then \frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}  <em>OR</em>  y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

   proportional to the square of its speed s

- That means d ∝ s²

∴  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵  The car require to stop from a speed of 48 miles per hour

    on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵  \frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}

- Substitute the values of d_{1} by 75 feet, s_{1} by 158400 feet/hour

   and s_{2} by 253440 feet/hour

∴ \frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}

∴  \frac{75}{d_{2}}=\frac{25}{64}

- By using cross multiplication

∴ 25 × d_{2} = 75 × 64

- Divide both sides by 25

∴ d_{2}  = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0
2 years ago
Bantu jawab ya guy's ​
AlekseyPX
Hey, i dont know what bantu jawab ya guys mean
6 0
2 years ago
Pls help or I’m gonna fail
ASHA 777 [7]

Answer:

3053.63 Is the answer

Step-by-step explanation:

V=4/3*3.14*9*9*9

3 0
3 years ago
Read 2 more answers
A certain type of brass contains 65% copper. How many pounds of copper are contained in 120 pounds of brass?
enyata [817]

The number of pounds of copper in 120 pounds of brass is = 78 pounds of copper

<h3>Calculation of number of pounds of copper</h3>

The percentage of copper in the brass = 65%

Therefore the quantity of copper in the brass = 65/100= 0.65 pounds

This means that 1 pound brass contains = 0.65 pounds of copper

The quantity of copper in 120 pounds of brass = 120 * 0.65

                                                                             = 78 pounds of copper.

Learn more about copper here:

brainly.com/question/24856041

#SPJ1

7 0
2 years ago
The regular price of a winter coat is $65.50. It is on sale for $52.40. what is the percent decrease of the winter coat
marishachu [46]
I believe the percent decrease is 20%
as when you multiply 65.5 by 20%
it gives you 13.1
when you minus 13.1 from 65.50
it gives you $52.4
6 0
3 years ago
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