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3 years ago

What is the velocity of a bird with a mass of 2 kilograms flying at 60 kg*m/s?

Mathematics

1 answer:

scoundrel [369]3 years ago

4 0

Answer:

30 m/s

Step-by-step explanation:

p = mv

momentum = mass × velocity

here the momentum is 60kgm/s

mass is 2kg

substitute in the equation

60 = 2v

v= 30m/s

You might be interested in

Surface Area of the pyramid

hichkok12 [17]

Answer:

Step-by-step explanation:

the total surface area of such a pyramid is the sum of 5 areas :

1 bottom square (8×8)

4 side triangles

the area of a triangle is

baseline × height / 2

now, we know the baseline of the 4 triangles, but what is their height (at least we know, all 4 have the same height, as the pyramid is totally regular) ?

the height of the side triangles is the slant height of the pyramid (the distance from the middle of a sideline to the top of the pyramid).

we get this by imagining a right-angled triangle inside the pyramid :

one leg is the inner height of the pyramid.

the second leg is the connection on the bottom square from the base of the inner height to the middle point of a sideline). this is half the length of a sideline.

and the baseline (Hypotenuse) is the slant height of the pyramid.

we can use Pythagoras

c² = a² + b²

with c being the Hypotenuse (side opposite of the 90° angle).

slant height² = 7² + (8/2)² = 49 + 4² = 49 + 16 = 65

slant height = sqrt(65) = 8.062257748... in

so, we get a areas

bottom square = 8×8 = 64 in²

a side triangle = 8×sqrt(65)/2 = 4×sqrt(65) =

= 32.24903099... in²

all 4 side triangles = 4×32.24903099... =

= 128.996124... in²

and we get as total surface area

64 + 128.996124... = 192.996124... in² ≈ 193.00 in²

8 0

1 year ago

Please solve these four equations a) x/3=x+4 b) m-3=4/5m-2 c) x/5-4=2-2x/5 d) 1/2+w=8-3w/2

Ilia_Sergeevich [38]

I hope these help you

A)

x3=x+4Step 1: Simplify both sides of the equation.13x=x+4Step 2: Subtract x from both sides.13x−x=x+4−x−23x=4Step 3: Multiply both sides by 3/(-2).(3−2)*(−23x)=(3−2)*(4)x=−6Answer:x=−6

B)

m−3=45m−2Step 1: Subtract 4/5m from both sides.m−3−45m=45m−2−45m15m−3=−2Step 2: Add 3 to both sides.15m−3+3=−2+315m=1Step 3: Multiply both sides by 5.5*(15m)=(5)*(1)m=5Answer:m=5

C)

x5−4=2−2(x5)Step 1: Simplify both sides of the equation.x5−4=2−2(x5) Simplify: (Show steps) 15x−4=−25x+2Step 2: Add 2/5x to both sides.15x−4+25x=−25x+2+25x35x−4=2Step 3: Add 4 to both sides.35x−4+4=2+435x=6Step 4: Multiply both sides by 5/3.(53)*(35x)=(53)*(6)x=10Answer:x=10

D)

12+w=8−3(w2)Step 1: Simplify both sides of the equation.12+w=8−3(w2) Simplify: (Show steps) w+12=−32w+8Step 2: Add 3/2w to both sides.w+12+32w=−32w+8+32w52w+12=8Step 3: Subtract 1/2 from both sides.52w+12−12=8−1252w=152Step 4: Multiply both sides by 2/5.(25)*(52w)=(25)*(152)w=3Answer:w=3

4 0

3 years ago

Laura collects nickels and dimes she has a total of 47 nickels and dimes she calculated the value of the coins and found out she

Gre4nikov [31]

Answer:

Number of dimes = 34

Number of nickels = 13

Step-by-step explanation:

Total number of coins = 47

Coins are in the form of nickels and dimes.

Value of a nickel = 5 cents

Value of a dime = 10 cents