Kinematics Equation: Finding Velocity with Mass, Potential Energy, and Gravity

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In summary, Kinematics is a branch of physics that focuses on the study of motion without considering the forces involved. The three basic equations of Kinematics are the equations of motion, which involve velocity, acceleration, and displacement. To solve Kinematics problems, one must identify given values, determine the unknown value, and use algebraic techniques to solve for it. Kinematics is different from Dynamics, which takes into account the forces involved in motion. However, Kinematics equations can still be applied to any type of motion with constant acceleration, including linear, projectile, and circular motion.
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DonovanX
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velocity^2= 2*g*height

Could somebody help me with the correct answer. I know the
mass = 75 kg
gravitational potential energy = 2.8kj
gravity = 9.8 m s ^-2
What would the answer be?
 
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What exactly is the problem you are trying to solve?
 
  • #3


I can provide the correct answer for you. First, let's review the given information. We know the mass (m) is 75 kg, the gravitational potential energy (PE) is 2.8 kJ, and the gravity (g) is 9.8 m/s^2.

Using the kinematics equation, we can find the velocity (v) by rearranging the equation to solve for v:

velocity^2= 2*g*height

v^2 = 2*g*height

v = √(2*g*height)

Now, we can substitute the given values into the equation:

v = √(2*9.8 m/s^2 * 2.8 kJ)

Converting kJ to J: 1 kJ = 1000 J

v = √(2*9.8 m/s^2 * 2800 J)

v = √(54,880 J)

Using the given mass, we can also calculate the height (h) using the potential energy formula:

PE = m*g*h

h = PE / (m*g)

Substituting the given values:

h = 2.8 kJ / (75 kg * 9.8 m/s^2)

Converting kJ to J: 1 kJ = 1000 J

h = 2800 J / (735 N)

h = 3.81 m

Now, we can substitute the calculated height into the velocity equation:

v = √(2*9.8 m/s^2 * 3.81 m)

v = √(74.436 m^2/s^2)

v = 8.63 m/s

Therefore, the final answer is that the velocity is 8.63 m/s. I hope this helps!
 

1. What is Kinematics?

Kinematics is a branch of physics that deals with the study of motion of objects without considering the forces that cause the motion.

2. What are the basic equations of Kinematics?

The three basic equations of Kinematics are the equations of motion:
- v = u + at (final velocity = initial velocity + acceleration x time)
- s = ut + 1/2at^2 (displacement = initial velocity x time + 1/2 x acceleration x time squared)
- v^2 = u^2 + 2as (final velocity squared = initial velocity squared + 2 x acceleration x displacement)

3. How do you solve Kinematics problems?

To solve a Kinematics problem, you need to identify the given values, determine the unknown value, and plug them into the appropriate equation. You can then solve for the unknown value using algebraic techniques.

4. What is the difference between Kinematics and Dynamics?

Kinematics deals with the motion of objects without considering the forces that cause the motion, while Dynamics involves the study of the relationship between the motion of objects and the forces that cause the motion.

5. Can Kinematics equations be used for any type of motion?

Yes, Kinematics equations can be used for any type of motion as long as the motion can be described with constant acceleration. This includes linear motion, projectile motion, and circular motion.

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