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avanturin [10]
2 years ago
14

A father lifts a toddler 1.5 m up in the air. The child gains 187.5 J of energy in her gravitational potential energy store as a

result. What is the mass of the toddler? Give your answer to 1 decimal place. (Assume that the gravitational field strength is 10 N/kg.)
Mathematics
1 answer:
professor190 [17]2 years ago
8 0

The mass of the toddler is 12.5 kg

Step-by-step explanation:

Gravitational potential energy (GPE) =

mass (m) × height (h) × gravitational field strength (g)

1. Gravitational potential energy is measured in (J)

2. Mass is measured in (kg)

3. Height is measured in (m)

4. Gravitational field strength (g) is measured in (N/kg)

∵ A father lifts a toddler 1.5 m up in the air

∴ h = 1.5 m

∵ The child gains 187.5 J of energy in her gravitational potential

   energy store as a result

∴ GPE = 187.5 j

- Assume that the gravitational field strength is 10 N/kg

∴ g = 10 N/kg

Substitute the values of GPE , h and g in the rule above to find m

∵ GPE = m h g

∴ 187.5 = m × 1.5 × 10

∴ 187.5 = 15 m

- Divide both sides by 15

∴ m = 12.5 kg

The mass of the toddler is 12.5 kg

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Answer:

i think its 75

Step-by-step explanation:

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6 0
2 years ago
Read 2 more answers
Mike and Teegan each measured the volume of the 16-ounce bottle three times. They recorded their measurements as shown. Mike: 16
-BARSIC- [3]

Answer:

The correct option is;

Mike's measurement are more precise and more accurate

Step-by-step explanation:

The given information are;

The mass of the measured bottle = 16-ounce

The record of the measurements made by Mike are;

16.4 oz

15.2 oz

15.8 oz

The record of the measurements made by Teegan are;

16.34 oz

16.59 oz

15.13 oz

From the two measurements, we have;

The precision of a measurement depends on how close the values of the measurement are to one another, therefore, we have;

For Mike, the precision is given as follows

16.4 - 15.2 = 1.2

16.4 - 15.8 = 0.6

15.8 - 15.2 = 0.6

Total difference = 1.2 + 0.6 + 0.6 = 2.4

For Teegan , the precision is given as follows

16.59 - 16.34 = 0.25

16.59 - 15.13 = 1.46

16.34 - 15.13 = 1.21

Total difference = 0.25 + 1.46 + 1.21 = 2.92

Therefore, Mike's measurements are more precise than Teegan's measurements

The accuracy of the measurement is the amount of closeness the measurements are to a given value

In the question, the given value is 16-ounces of the volume of the bottle

Therefore, by the mean absolute deviation from the 16-ounce of the bottle, we have;

For Mike;

Mean \ absolute  \ deviation = \dfrac{\left | 16.4 - 16 \right | + \left | 15.2 - 16 \right | + \left | 15.8 - 16 \right | }{3} = 0.533

For Teegan, we have;

Mean \ absolute  \ deviation = \dfrac{\left | 16.34 - 16 \right | + \left | 16.59 - 16 \right | + \left | 15.13 - 16 \right | }{3} = 0.6

Therefore, Mike's measurement is more accurate than Teegan's measurement.

Which gives;

Mike's measurement are more precise and more accurate.

9 0
3 years ago
Explain how you could use an equation like 12.50x = 15 to figure out original and increased/decreased prices and the mulitiplier
ExtremeBDS [4]

Answer:

1.2

Step-by-step explanation:

15 ÷ 12.50 = 1.2

12.50(1.2)= 15

7 0
3 years ago
Can someone please help
Sedaia [141]

y = 1.5x + 6
3 0
3 years ago
Please solve this for me!
tatuchka [14]

Step-by-step explanation:

To find the slope between two given points you use the equation:

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

(8,10) are (x_{1},y_{1})

(16,24) are (x_{2},y_{2})

After that you just plug in:

m=\frac{24-10}{16-8}

m=\frac{14}{8}

Simplify:

<h2><u><em></em></u>m= \frac{7}{4}<u><em></em></u></h2>

Answer:

The slope is \frac{7}{4} for #1

7 0
2 years ago
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