Question

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.)

Answer 1

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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