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A 60.0-kg person drops from rest a distance of 1.20 m to a platform of negligible mass supported by an ideal stiff spring of negligible mass. the platform drops 6.00 cm before the person comes to rest. what is the spring constant of the spring?


Draw a diagram to illustrate the problem s shown in the figure below.

At state A, the person has potential energy relative to the spring of
PE = (60 kg)*(9.8 m/s²)*(1.2 m)
     = 705.6 J

At state B, the PE is converted to kinetic energy which is equal to the potential energy.
Assume that aerodynamic losses are ignored during the free fall.

At state C, the potential energy (or kinetic energy) is converted into strain energy in the spring. Assume that energy losses are negligible.
The spring deflects by  6 cm = 6×10⁻² m, and its spring constant = k N/m.
(1/2)(k N/m)(6×10⁻² m)² = 705.6 J
k = 705.6/0.03 = 23520 N/m = 23.52 kN/m

Answer: 23.52 kN/m


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Which excerpt from “The Man to Send Rain Clouds” best illustrates how Leon’s beliefs differ from those of Father Paul? “Well, I’m glad you understand. I hope I’ll be seeing you at Mass this week—we missed you last Sunday. See if you can get old Teofilo to come with you.” The priest smiled and waved at them as they drove away. Leon walked toward the old man’s bed. The red plaid shawl had been shaken and spread carefully over the bed, and a new brown flannel shirt and pair of stiff new Levi’s were arranged neatly beside the pillow. It was noontime now because the church bells rang the Angelus. They ate the beans with hot bread, and nobody said anything until after Teresa poured the coffee. Leon turned to look up at the high blue mountains in the deep snow that reflected a faint red light from the west. He felt good because it was finished, and he was happy about the sprinkling of the holy water; now the old man could send them big thunderclouds for sure.


Answer: D) Bountiful harvests, to suggest Gant’s agricultural success.

Explanation: In the given excerpt we can see many sensorial details like “His grape vines thickened into brawny ropes of brown” and “And the flowers grew in rioting glory in his yard—the velvet-leaved nasturtium, slashed with a hundred tawny dyes”, these sensorial details about Gant’s harvests helps to create an image of abundance, and products of great quality, which demonstrates Gant’s agricultural success.


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Stiff muscles only result from overworking them. T/F


Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. BMI test level is high from normal ranges shows that she is at higher risk of disease. She should lose weight and concern to the doctor.

Further Explanation:

Body mass index (BMI) is a measured value derived from the height of a person and mass.

{text{BMI}}=dfrac{{{text{mass (kg)}}}}{{{{left( {{text{height}}}right)}^2}{{left({text{m}}right)}^2}}}

BMI indicates whether the person is healthy or overweight mainly used by physicians.

• Range of BMI in a normal person is 18.5-25mathbf{kg/m}^{2}

• Range of BMI in skinfold person is 25-30mathbf{kg/m}^{2}

• Range of BMI in underweight person is 15-18.5mathbf{kg/m}^{2}

The skinfold measurement test is used to determine a person’s body fat percentage and body composition.

In this test, we are the proportion of body fat by determining skinfold thickness at pinches specific part of the body. The estimate of these folds is determined the fat beneath the skin, also called subcutaneous adipose tissue.  

The tester pinches the skin at the site and drags the fold of skin away from the muscle so only the fat tissue and skin are being held. The skinfold thickness is measured by skinfold calipers in millimeters.

Skin test includes the seven locations of the body:

1. Triceps

2. Quadriceps

3. Suprailiac

4. Pectoral

5. Subscapular

6. Midaxilla

7. Abdomen

Charlie had a waist circumference of 47 inches and a BMI of 29 this shows that she is overweight. Females with waist size 47 inches have higher risk of having disease. BMI test level is high from normal ranges shows that she is at higher risk of disease.She should lose weight and concern to the doctor.

Learn more:  

1. Learn more about carbohydrate monomer

2. Learn more about core muscle stabilization

3. Learn more about energy storage

Answer Details:

Grade: High School

Subject: Health

Chapter: Physical Fitness


Body index mass, weight, doctor, triceps, abdomen, midaxilla, Quadriceps, skinfold, mass, height, pectoral.