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ale4655 [162]
3 years ago
6

An object of mass 600 kg is released from rest 1000 m above the ground and allowed to fall under the influence of gravity. Assum

ing the force due to air resistance is proportional to the velocity of the object with proportionality constant bequals50 ​N-sec/m, determine the equation of motion of the object. When will the object strike the​ ground? [Hint: Here the exponential term is too large to ignore. Use​ Newton's method to approximate the time t when the object strikes the​ ground.] Assume that the acceleration due to gravity is 9.81 m divided by sec squared.
Mathematics
1 answer:
Deffense [45]3 years ago
5 0

Answer:

15 sec

Step-by-step explanation:

Data:

let m = 600 kg

    b  = 50

the differential equation will be:

m\frac{dv}{dt} = mg - bv(t)

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how many 5-digit even numbers can be formed with the digits 1,2,3,4,5, and 6 if repetition is allowed?​
Setler79 [48]

Given:

The given digits are 1,2,3,4,5, and 6.

To find:

The number of 5-digit even numbers that can be formed by using the given digits (if repetition is allowed).

Solution:

To form an even number, we need multiples of 2 at ones place.

In the given digits 2,4,6 are even number. So, the possible ways for the ones place is 3.

We have six given digits and repetition is allowed. So, the number of possible ways for each of the remaining four places is 6.

Total number of ways to form a 5 digit even number is:

Total=6\times 6\times 6\times 6\times 3

Total=3888

Therefore, total 3888 five-digit even numbers can be formed by using the given digits if repetition is allowed.

6 0
2 years ago
Given That ABCD is a rhombus, what is the value of x?
3241004551 [841]
5x - 18 + x = 90

6x = 108

x = 18 degrees
8 0
3 years ago
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Colt1911 [192]

Answer:

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4 0
3 years ago
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One number is 3 more than another number. if you add 12 to 4 times the first number, the result is 5 times the second number. Fi
aleksklad [387]

Answer:

first is -3, second number is 0

Step-by-step explanation:

you have two equations x+3=y and 4*x+12=5*y

Use the first one and write y in terms of x in the second equation:

4*x+12=5*(x+3)

4*x+12=5*x+15

12=5*x-4*x+15

12=x+15

x=-3

3 0
3 years ago
What number comes next in the sequence?<br><br> 1, 1, 2, 3, 5, 8, 13, 21, 34, ?
Vitek1552 [10]

Answer:

55

Step-by-step explanation:

1+1 = 2

1+2 = 3

2+3 = 5

3+5 = 8

5+8 = 13

8+13 = 21

13+21 = 34

21 +34 = 55

PLEASE GIVE BRAINLIEST

3 0
2 years ago
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