Answer:
3.00 kg (2 d.p.)
Step-by-step explanation:
Gravitational Potential Energy (GPE): Energy stored in a mass due to its position. The amount of GPE an object has depends on its mass and its height above the ground.
[tex]\large\boxed{\textsf{GPE}=mgh}[/tex]
where:
- GPE = gravitational potential energy in joules (J).
- m = mass in kilograms (kg).
- g = gravitational field strength in newtons per kilogram (N/kg).
- h = change in height in meters (m).
Given:
- GPE = 44.12 J
- g = 9.8 N/kg
- h = 1.5 m
Substitute the given values into the formula and solve for m:
[tex]\implies 44.12=m \times 9.8 \times 1.5[/tex]
[tex]\implies 44.12=14.7m[/tex]
[tex]\implies m=\dfrac{44.12}{14.7}[/tex]
[tex]\implies m=3.001360544...[/tex]
[tex]\implies m=3.00\:\:\sf kg\:(2\:d.p.)[/tex]
Therefore, the mass of the basket of fruits is 3.00 kg (2 d.p.).
