Question

1. A bag of groceries with a mass of 5 kg on a cart that is 0.5 m high is transferred at the back seat of a car. The back seat is 1.25 m
from the ground.
A.) What is the gravitational potential energy of the bag of groceries inside the cart relative to the floor? B.) What is the
gravitational potential energy of the bag of groceries on top of the back seat relative to the cart?​

Answer 1

Answer:

Potential will be 6.5 and the great work by sunny leone and jonny sins

Answer 2

Given:

Mass of the bag of groceries $m = 5kg$

Height of the cart relative to floor  $h_{1\\ } = 0.5 m$  

Height of the car seat relative to floor $h_{2} = 1.25m$

To Find:

A) Gravitational Potential Energy of the bag in the cart relative to the floor.

B) Gravitational potential energy of the bag on top of the back seat relative to the cart.

Step by Step Explanation:

• The Gravitational Potential Energy is given by $P E_{g} = mgh$

where, $m$ - mass; $g$ - acceleration due to gravity; $h$ - height of the body

• Let  $h_{1}$ be the height of the bag relative to floor and $h_{2}$ be the height of the bag on top of back seat relative to floor.

• Let $h_{3}$ be the height of the bag on top of the back seat relative to the cart  and it is given by the difference between $h_{2}$ and $h_{1}$

$h_{3}=h_{2}-h_{1}$

$=1.25-0.5$

$=0.75m$

 A) Gravitational Potential Energy of the bag in the cart relative to the floor is:

$PE_{g1} = mgh_{1}$

$= 5\times9.81\times0.5$

$=24.525 J$

 B) Gravitational potential energy of the bag on top of the back seat relative to the cart is:

$PE_{g2} = mgh_{3}$

$=5\times9.81\times0.75$

$=36.7875 J$

Answer:

A) The gravitational potential energy of the bag of groceries inside the cart relative to the floor is $24.525 J$

B) The  gravitational potential energy of the bag of groceries on top of the back seat relative to the cart is $36.7875 J$