Question

HELPPPPP PLEASE IM BEGGING ILL GIVE ALL MY POINTS ON ANOTHER POST BUT PLS

Answer 1

Einstein's mass energy relation, and the formula for finding the percentage error gives;

7) a) 9.0 × 10¹⁶ Joules

b) The bulb could be powered for approximately 47533146.96 years

8) 16.46%

9) The possible values are;

61.093 Joules and 96.77 Joules

What is a percentage error?

Percentage error is the ratio of the difference between estimated value and the actual value to the actual value expressed as a percentage.

7) a) The Einstein mass energy relation is presented as follows;

E = m•c²

The speed of light, c = 3×10⁸ m/s

The mass, m = 1 kg, gives;

E = 1 kg × (3×10⁸ m/s)² = 9.0 × 10¹⁶ Joules

• The energy present in 1 kg. mass is; 9.0 × 10¹⁶ Joules

b) Energy consumption of the light bulb = 60 J/sec

The duration, t, the light bulb will remain lit is therefore;

• t = (9.0 × 10¹⁶)/(60) = 1.5 × 10¹⁵ s ≈ 47533146.96 years

8) Percentage error, %error, is found as follows;

%error = ((Approximate value - Actual value)/(Actual value)) × 100

Appreciate value = 46,620 km

Actual value = 40,030.2 km

Which gives;

%error = ((46,620 - 40,030.2)/(40,030.2))×100 ≈ 16.46%

• The percentage error of Eratosthenes estimate of the circumference of the Earth is approximately 16.46%

9) The calculated value of the kinetic energy = 74.9 J

The observed error in the calculation = 22.6%

Required; The two possibilities for the correct kinetic energy

Solution;

E% = ((Approximate value - Actual value)/(Actual value)) × 100

Taking the calculated value as the approximate value, and the correct value as the actual value, we have;

22.6% = ((74.9 - Actual value)/(Actual value)) × 100

(22.6/100)×Actual value = 74.9 - Actual value

Actual value + 0.226×Actual value = 74.9

1.226 × Actual value = 74.9

Which gives;

• Actual value = 74.9 J/1.226 ≈ 61.093 J

The actual value can also be given as follows;

22.6% = ((Actual value - 74.9)/(Actual value)) × 100

Actual value - 0.226×Actual value = ,74.9

Actual value = 74.9 J/(1-0.226) ≈ 96.77 J

• The possible values for the kinetic energy are approximately; 61.093 J and 96.77 J

Learn more about calculating percentage error in measurements here;

brainly.com/question/5493941

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