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Margarita [4]
2 years ago
6

Ignoring friction and air resistance, what is the acceleration of the box, to the nearest tenth? 0.5 m/s2 4.9 m/s2 8.5 m/s2 9.8

m/s2
Mathematics
1 answer:
rosijanka [135]2 years ago
8 0

The option second -4.9 m/s² is correct the negative sign shows that a positive direction "upward along the ramp".

<h3>What is mass?</h3>

A tangible body's mass is the amount of matter it possesses. It's also a metric of inertial, or the resistance to velocity when a net force is exerted.

The question is incomplete.

The complete question is:

A box that has a mass of 80 kg slides down a ramp with a 30-degree angle. The free-body diagram shows the forces acting on the box. Ignoring friction and air resistance, what is the acceleration of the box, to the nearest tenth?

-0.5 m/s²

-4.9 m/s²

-8.5 m/s²

-9.8 m/s²

First we calculate the weight:

W = mg = 80×9.8

W = 784 N

The weight component parallel to the ramp is:

W₁ = Wsin30

W₁ = (784)(sin30)

W₁ = 392 N

From the Newton's second law:

a = F/m

a = 392/80

a = 4.9 m/s²

Thus, the option second -4.9 m/s² is correct the negative sign shows that a positive direction "upward along the ramp".

Learn more about the mass here:

brainly.com/question/15959704

#SPJ1

You might be interested in
For what point on the curve of y=8x^2 - 3x is the slope of a tangent line equal to -67
AleksandrR [38]

The point on the curve is (–4, 140)

Solution:

Given y=8x^2-3x and slope is –67.

slope = –67

$\frac{dy}{dx}=-67$  – – – – (1)

Now calculate \frac{dy}{dx} for the given curve y=8x^2-3x.

Using differential rule:

$\frac{d}{dx}(x^n)=nx^{n-1}

$\frac{dy}{dx}=\frac{d}{dx}(8x^2-3x)

    $=\frac{d}{dx}(8x^2)-\frac{d}{dx}(3x)

    $=(8\times2x^{2-1})-(3\times1x^{1-1})

    $=16x^1-3x^0

    $=16x-3

$\frac{dy}{dx}=16x-3 – – – – (2)

Equate (1) and (2).

16x-3=-67

16x=-67+3

16x=-64

⇒ x = –4

Substitute x = –4 in y.

⇒ y=8(-4)^2-3(-4)

⇒    =8(16)+12

⇒ y = 140

Hence, the point on the curve given is (–4, 140).

3 0
4 years ago
What is the answer and how did you get the answer??
const2013 [10]

So 3 hours is 180 minutes so it would be 19863 cases sold by 3 hours aka 180 minutes because every 20 minutes 3 cases gets sold.

8 0
3 years ago
Math
REY [17]

The verbal translation of p v q is:

A student is in math club OR debate club

pvq is true for a total of 28 students.

<h3>Calculations and Parameters:</h3>

Given the table:

<h3>Math Club              Debate Club</h3>

7                                           15

6      

If p represents a student from the maths club

If a represents a student from the debate club

The verbal translation of p v q is:

A student is in math club OR debate club

Hence, the total number of students based on pvq is 7 + 6 + 15= 28 students.

Read more about verbal translations here:

brainly.com/question/14706414

#SPJ1

6 0
2 years ago
2(x + 2) + 32 = -4 solve for x
Brut [27]

Answer:

-20 hope it helpssss

7 0
3 years ago
Read 2 more answers
PLEASE ANSWER IT QUICKLY IT'S VERY IMPORTANT!!!!!!!!!!
Marizza181 [45]

Answer:

Number 2 is A and number 3 Is A.

Step-by-step explanation:

divide

4 0
3 years ago
Read 2 more answers
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