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Gravitational potential energy (U) depends on three things: the object’s mass (m), its height (h), and gravitational acceleration (g), which is 9.81 m/s2 on Earth’s surface: U = mgh Energy is measured in joules (J). One joule is equal to one 1 kg•m2/s2. When calculating the energy of an object, it is helpful to convert the mass and height to kilograms and meters.

A. What is the mass of the 50-gram car, in kilograms?

B. Set Hill 1 to 75 cm and the other hills to 0 cm. What is the height in meters?

C. What is the potential energy of the car, in joules?

Respuesta :

Explanation:

A. Mass of the car ,m = 50 g

1 g = 0.001 kg

50 g = 0.001 × 50 kg = 0.05 kg

B. Height of hill ,h= 75 cm = 0.75 m

1 cm = 0.01 m

Height of other hill ,h' = 0 cm = 0 m

C. Gravitational potential energy (U):

[tex]U=mgh[/tex]

Mass of car = m = 0.05 kg

Height at which car is = h = 0.75 m

[tex]U= 0.05 kg\times 0.75 m\times 9.8 m/s^2=0.3675 kg/m^2/s^2=0.3675 J[/tex]

snehashish65

(A) The given mass of car in kilograms is 0.05 kg.

(B) The given height of hills in meters is 0.75 meters and 0 meters.

(C) The potential energy of the car in Joules is 0.36 J.

What is Gravitational Potential Energy?

The energy possessed by an object by virtue of the position is known as the gravitational potential energy.

Given data -

The mass of car is, m = 50 g.

The range of height for the hill is, h = 1 to 75 cm.

The height of other hills is, h' = 0 cm.

(A)

We know that,

1 kg = 1000 g

So, the given mass of car in kilograms is,

= 50/1000

= 0.05 kg

Thus, we can conclude that the given mass of car in kilograms is 0.05 kg.

(B)

We know that,

1 m = 100 cm

or

1 cm = 1/100 m

Then, the height of range of hills and other hills in meters is,

= 75/100

= 0.75 m

Thus, we can conclude that the given height of hills in meters is 0.75 meters and 0 meters.

(C)

The expression for the potential energy of the car is,

U = mgh

here,

g is the gravitational acceleration.

Solving as,

U = 0.05 × 9.81 × 0.75

U = 0.36 J

Thus, we can conclude that the potential energy of the car in Joules is 0.36 J.

Learn more about the potential energy here:

https://brainly.com/question/10188030