Answer:
The mass of the second object is 5.10 Kg
Explanation:
We are given that the potential energy varies directly with both the mass of the object and its height
This means that:
P.E = kmh .......................> I
where:
P.E is the potential energy
k is the constant of proportionality
m is the mass of the object
h is the height of the object
We are given that a 25-Kg object has 980 joules of potential energy when it is 4 meters off the ground
We will substitute with these givens equation I and solve for k as follows:
P.E = kmh
980 = k × 25 × 4
k = 9.8
This means that:
Potential energy = 9.8 × mass of object × height of object ...........> II
Now, we want to get the mass of an object knowing that its potential energy is 150 joules and its height is 3 meters off the ground
We will substitute in equation II and solve for the mass as follows:
Potential energy = 9.8 × mass of object × height of object
150 = 9.8 × mass of object × 3
mass of object = 5.102 Kg which is 5.10 Kg rounded to two decimal places
Hope this helps :)
The mass of the second object is 5.10kg
The potential energy of a body is expressed according to the equation expressed as
P.E = mgh
where
g is the acceleration due to gravity
m is the mass of the object
h is the height of the object
Given that a 25-Kg object has 980 joules of potential energy when it is 4 meters off the ground, then;
P.E = mgh
980 = g × 25 × 4
g = 9.8
Potential energy = 9.8 × mass of object × height of object ...........> II
Next is to determine the mass of the object using the same formula
Potential energy = 9.8 × mass of object × height of object
150 = 9.8 × mass of object × 3
Hence the mass of the second object is 5.10kg
Learn more on potential energy here:https://brainly.com/question/14427111
