A 25-N net force is applied to a rolling cart and produces an acceleration of 5 m/s2.What is the cart's mass

1 answer:

8 0

Remember that Force= mass*acceleration.
Plug in the known values

25 = m* 5

Divide both sides by 5
5= m

Final answer: The mass is 5 kg

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tudents are given 3 minutes for each multiple-choice question and 5 minutes for each free-response question on a test. There are

AlladinOne [14]

In this question, they gave you the system of equations. You just need to use the two of them.

We want to find the m or the number of the multiple-choice questions. So we need to turn our last equation in the form of 'm's by translating the 'f's into 'm's.

$m + f = 15$
$f = 15 - m$

If we know the m form of f, we can convert the second equation and find the answer: $3m + 5f = 51$

Plug in the m value of f: $3m + 5(15 - m) = 51$

Distribute the 5: $3m + 75 - 5m = 51$

Subtract -75 from both sides: $3m - 5m= 51 - 75$

Combine like terms: $- 2m = - 24$

Divide both sides by -2: $m = 12$

So, we learned that the number of the multiple-choice questions is 12.

6 0

3 years ago

Simplify the radical expression.

tresset_1 [31]

To simplify this fraction, multiply the entire fraction by the conjugate of the denominator. The conjugate of a square root and a number being added to it would be the number subtracted from the square root. In other words, the conjugate of $\sqrt{a} + b$ would be $\sqrt{a} - b$ .

Applying that information to our fraction shown here, the conjugate of the denominator would be $\sqrt{3} - 4$ . We will multiply both the numerator and denominator of our original fraction by this expression to obtain our answer, as shown below.