Calculating Gravitational Potential Energy Increase: 3.0kg Object

In summary, the problem involves a 3.0 kg object traveling vertically at a constant speed of 2.0m/s and asks for the increase in gravitational potential energy after 4.0 sec. The relevant equation is Ep=Mgh, but finding the height requires using kinematics equations. The distance covered during a given time at constant speed can be found using the equation v=d/t. Therefore, the answer is 2.4 x 10^2 J.
  • #1
Jabababa
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Homework Statement



A 3.0 kg object travels vertically at a constant speed of 2.0m/s. What is the increase in gravitational potential energy after 4.0 sec?

Homework Equations



Ep=Mgh

The Attempt at a Solution



I know i need to find the height but, with constant velocity i don't know how to plug into any kinematic equations to find the height.

The answer is 2.4 x 10^2 J.
 
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  • #2
A change in gravitational potential energy results from a change in height. You can find that change in height using kinematics equations.
 
  • #3
Yes, i know that part...but i have no idea how to plug into the kinematic equations with a constant velocity. All the equations are involved with a initial velocity and a final velocity.
 
  • #4
At constant speed v, what is the distance covered during some time t?
 
  • #5
omg thanks! I totally forgot the most basic one, V= d/t!
 

1. How is gravitational potential energy calculated?

Gravitational potential energy is calculated by multiplying the mass of an object by the gravitational field strength and by the height of the object relative to a reference point.

2. What is the formula for calculating gravitational potential energy?

The formula for calculating gravitational potential energy is PE = mgh, where m is the mass of the object, g is the gravitational field strength, and h is the height of the object relative to the reference point.

3. How do you determine the value of the gravitational field strength?

The value of the gravitational field strength can be determined using the formula g = G(M/r^2), where G is the universal gravitational constant, M is the mass of the larger object (such as the Earth), and r is the distance between the two objects.

4. What units are used to measure gravitational potential energy?

Gravitational potential energy is typically measured in joules (J) in the metric system. In the imperial system, it is measured in foot-pounds (ft-lb).

5. How does the mass of an object affect its gravitational potential energy?

The greater the mass of an object, the greater its gravitational potential energy will be. This is because the formula for gravitational potential energy includes the mass of the object as a factor.

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