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Pavel [41]
3 years ago
6

A 9230-kg truck collides head on with a 1250-kg parked car. The vehicles entangle together and slide a linear distance of 10.6 m

eters before coming to rest. Assuming a uniform coefficient of friction of 0.820 between the road surface and the vehicles, determine the pre-collision speed of the truck.
Mathematics
1 answer:
Helen [10]3 years ago
3 0

Answer:

=>By the work energy relation:-

=>W = ∆KE

=>Ff.s = 1/2(M+m)v^2

=>µk x N x s = 1/2(M+m)v^2

=>µk x (M+m) x g x s = 1/2(M+m)v^2

=>v = √[2µkgs]

=>v = √[2 x 0.82 x 9.8 x 10.6]

=>v = 13.05 m/s

By the law of momentum conservation:-

=>Mu = (M+m)v

=>9230u = (9230+1250) x 13.05

=>u = 14.82 m/s

Step-by-step explanation:

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correct

Step-by-step explanation:

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3 years ago
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Step-by-step explanation:

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2 years ago
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Find the values for a and b that would make the equality true.
Crank

Answer:

a = - 4, b = 5

Step-by-step explanation:

Expand the left side and compare the coefficients of like terms on the right side.

- 3(2x² + ax + b)

= - 6x² - 3ax - 3b

Comparing like terms with - 6x² + 12x - 15

x - term → - 3a = 12 ( divide both sides by - 3 )

                    a = - 4

constant term → - 3b = - 15 ( divide both sides by - 3 )

                               b = 5

6 0
3 years ago
Which expression is equivalent to (3b 2r) (4b r)? 7b 2r 7b 3r 12b 2r 12b 3r.
Maslowich

To add the variables, add the coefficients with same variable. The expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

<h3>What is equivalent expression?</h3>

Equivalent expression are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The expression given in the problem is,

(3b+2r)+(4b+r)

Let the resultant expression of the above expression is x. thus,

x=(3b+2r)+(4b+r)

To add the algebraic terms open the brackets first,

x=3b+2r+4b+r

Separate the same variable terms,

x=3b+4b+2r+r

To add the variables, add the coefficients with same variable. Thus,

x=7b+3r

Hence, the expression which is equivalent to given expression is 7b+3r. The option 2 is the correct option.

Learn more about the equivalent expression here;

brainly.com/question/2972832

4 0
2 years ago
If set A contains seven distinct numbers and set B contains three distinct letters, how many elements are in (A U B)?​
Ira Lisetskai [31]
<h3>Answer:  10 elements</h3>

=======================================================

Explanation:

Let's use an example to see why this is

A = {1,2,3,4,5,6,7}

B = {x,y,z}

A U B = {1,2,3,4,5,6,7, x,y,z}

We simply glue the two sets together to form one single big set. Because sets A and B have no overlap, this means we dont have to worry about tossing out duplicates (since there aren't any).

There are 7 items in set A, and 3 items in set B.

Therefore, we have 7+3 = <u>10 items in set A U B</u>

The symbol U refers to the set union operator.

If you wanted to make a Venn Diagram, then you'd have two circles overlapping. In circle A will be the numbers 1 through 7. These values are not in the overlapped region. For circle B, the letters x,y,z are inside but not in the overlapped region. The overlapped region remains empty.

The set A U B talks about the collection of everything mentioned. It's the set of stuff in set A or in set B or in both sets.

-----------------

If you want a formula to write down on a notecard or reference sheet, then it would be

n(A U B) = n(A)+n(B)

where A and B are mutually exclusive, aka disjoint. This means they have nothing in the overlapped region

4 0
2 years ago
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