An astronaut located on the surface of the moon (g=5.36 fps^2) places a crater sample on a spring scale (previously calibrated on earth at g0); a reading of 7.5lb is noted: (a) What is the sample mass? (b) If the scale had been of the balance type, what reading would have been noted?
Answers
Answer:
An astronaut located on the surface of the moon (g=5.36 fps^2) places a crater sample on a spring scale (previously calibrated on earth at g0); a reading of 7.5lb is noted: (a) What is the sample mass? (b) If the scale had been of the balance type, what reading would have been noted
Step-by-step explanation:
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Given,
g = 5.36 ft./s² on the moon
Mass of the crater = 7.5 lb.
To find,
(a) Sample mass
(b) What reading would have been recorded if the scale had been of the balancing type?
Solution,
(a) The sample mass is 1.249 lb.
(b) Had the scale been of the balance type, the reading noted would have been 7.5 lb.
We can quickly solve the numerical problem by following the techniques outlined below.
We know that,
Mass of the crater = 7.5 lb.
Value of g on the moon = 5.36 ft./s²
Value of g on the earth = 32.174 ft./s²
(a) A spring scale provides a value depending on the gravitational force acting on the spring. Because the force in this situation equals the weight of the crater, we can calculate it using the following formula:
⇒ W = mg
=
= 1.249
As a result, the crater's mass is 1.249 lb.
(b) The crater's weight will be shown as 7.5 lb. on the beam scale since it compares weights, as well as the mass, remains unchanged in all locations.
As a result, we may determine that if the scale had been of the balanced kind, the suggested reading would have been 7.5 lb.