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LekaFEV [45]
3 years ago
12

When a constant force acts upon an object, the acceleration of the object varies inversely with its mass. When a certain constan

t force acts upon an object with mass 4kg, the acceleration of the object is 15/ms2. If the same force acts upon another object whose mass is
10kg, what is this object's acceleration?
Mathematics
1 answer:
vitfil [10]3 years ago
4 0

Answer:

a = 6m/s^2

Step-by-step explanation:

Given

When mass = 4kg; Acceleration = 15m/s²

Required

Determine the acceleration when mass = 10kg, provided force is constant;

Represent mass with m and acceleration with a

The question says there's an inverse variation between acceleration and mass; This is represented as thus;

a\ \alpha\ \frac{1}{m}

Convert variation to equality

a = \frac{F}{m}; Where F is the constant of variation (Force)

Make F the subject of formula;

F = ma

When mass = 4kg; Acceleration = 15m/s²

F = 4 * 15

F = 60N

When mass = 10kg; Substitute 60 for Force

F = ma

60 = 10 * a

60 = 10a

Divide both sides by 10

\frac{60}{10} = \frac{10a}{10}

a = 6m/s^2

<em>Hence, the acceleration is </em>a = 6m/s^2<em />

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dalvyx [7]

Answer:

(x)= 2, 5, 8, 11

Use the formula  

a n  =  a 1  +  d  ( n  −  1 )

to identify the arithmetic sequence.

a n  =  3 n  −  1

f(x)= 5, 11 17, 23

Use the formula  

a n  = a 1  +  d  ( n − 1 )

to identify the arithmetic sequence.

a n  =  6n  −  1

x      f(x)

2      5

5      11

8      17

11      23

Nothing further can be done with this topic. Please check the expression entered or try another topic.

2 ,   5 ,   8 ,   11  

5 ,   11 ,   17 ,   23

Step-by-step explanation:

Write a rule for the linear function in the table.

x;     f(x)

2      8

5     17

5      11

11    23

A; f(x) = x + 5

B;f(x) = x + 1

C;f(x) = 2x + 1

D;f(x) = –2x – 1

If all your solutions are  

A; f(x) = x + 5

B;f(x) = x + 1

C;f(x) = 2x + 1

D;f(x) = –2x – 1

None of the above will work with the data set you have presented.

4 0
3 years ago
Two angles are congruent if and only if they have the same _____.
pav-90 [236]

Answer:

measurements

Step-by-step explanation:

I hope this helped and have a great day!

5 0
3 years ago
Help i give 5 stars and a crown​
REY [17]

Answer:

See below.

Step-by-step explanation:

1a)

<u>Angles:</u>

  • 48, 90, 90, a.

<u>Add:</u>

  • 48 + 90
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  • = 228

<u>Subtract:</u>

  • 360 - 228
  • = 132.

Angle a: 132.

1b)

To get angle h above 180°, <u>We need to add h + 164:</u>

  • h + 164
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h = 110.

This is how to get h over 180°.

6 0
2 years ago
PLZ HELP ASAP!
34kurt
<span>To evaluate the given expression, we need the values of each variable and substitute these values to the expression. Then, go on with the operations involved.

</span>4x - y - 2z
4(-2) - (3) - 2(-2)
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4 0
3 years ago
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What is the value of the expression? 56−(18÷34) as a fraction in simplest form
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The value of the expression in simplest form is: 55 8/17.

Hope this helps! :D

~PutarPotato
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