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Questions and Answers
Corrie salta 2 metros in le aere e illa pesa 56 kg. Qual es su energia potential gravitational, assumendo que le acceleration debite al gravitate es $9.8 m/s^2$?
Corrie salta 2 metros in le aere e illa pesa 56 kg. Qual es su energia potential gravitational, assumendo que le acceleration debite al gravitate es $9.8 m/s^2$?
- 112 J
- 1097.6 J (correct)
- 274.4 J
- 548.8 J
Un bloco de metallo con un massa de 5 kg es elevate a un altitude de 10 metros super le terra. Si le energia potential gravitational del bloco es postea convertite completemente in energia kinetic justo ante que illo collide con le terra, qual es le velocitate del bloco justo ante le impacto? (Assumite $g = 9.8 m/s^2$)
Un bloco de metallo con un massa de 5 kg es elevate a un altitude de 10 metros super le terra. Si le energia potential gravitational del bloco es postea convertite completemente in energia kinetic justo ante que illo collide con le terra, qual es le velocitate del bloco justo ante le impacto? (Assumite $g = 9.8 m/s^2$)
- 196 m/s
- 14 m/s (correct)
- 49 m/s
- 98 m/s
Un pendulo con un massa de 2 kg es initialmente tenite a un angulo de 30 grados con le vertical. Si le longitude del filo del pendulo es 1.5 metros, qual es approximate le energia potential gravitational del pendulo relative al puncto le plus basse de su trajectoria? (Note: Approxima $\cos(30^\circ) \approx 0.866$ e $g = 9.8 m/s^2$)
Un pendulo con un massa de 2 kg es initialmente tenite a un angulo de 30 grados con le vertical. Si le longitude del filo del pendulo es 1.5 metros, qual es approximate le energia potential gravitational del pendulo relative al puncto le plus basse de su trajectoria? (Note: Approxima $\cos(30^\circ) \approx 0.866$ e $g = 9.8 m/s^2$)
- 3.93 J (correct)
- 7.86 J
- 29.4 J
- 15.72 J
Un motore leve un ascensor con un massa total de 1000 kg a un altitude de 50 metros in 10 secundas a velocitate constante. Qual es approximativemente le potentia minime que le motore debe fornir, in vatios, pro realisar iste tarea? (Assume $g = 9.8 m/s^2$)
Un motore leve un ascensor con un massa total de 1000 kg a un altitude de 50 metros in 10 secundas a velocitate constante. Qual es approximativemente le potentia minime que le motore debe fornir, in vatios, pro realisar iste tarea? (Assume $g = 9.8 m/s^2$)
Un fonte se comprime de 0.2 metros quando un massa de 4 kg es ponite sur illo. Qual es le constante del fonte?
Un fonte se comprime de 0.2 metros quando un massa de 4 kg es ponite sur illo. Qual es le constante del fonte?
Un bola de golf de 0.046 kg es lanceate con un velocitate de 50 m/s. Si le club de golf esseva in contacto con le bola durante 0.001 secundas, qual es le fortia medie exercite sur le bola?
Un bola de golf de 0.046 kg es lanceate con un velocitate de 50 m/s. Si le club de golf esseva in contacto con le bola durante 0.001 secundas, qual es le fortia medie exercite sur le bola?
Duo objectos, un con un massa de 2 kg e le altere con un massa de 4 kg, ha equal energias kinetic. Qual es le ration del momento del objecto de 2 kg al momento del objecto de 4 kg?
Duo objectos, un con un massa de 2 kg e le altere con un massa de 4 kg, ha equal energias kinetic. Qual es le ration del momento del objecto de 2 kg al momento del objecto de 4 kg?
Un catapulta lancea un rocca de 0.5 kg verticalmente in le aere. Si le rocca attinge un altitude maxime de 20 metros, qual esseva approximate le obra realisate per le catapulta sur le rocca? (Assume $g = 9.8 m/s^2$ e que le resistentia del aere es insignificante.)
Un catapulta lancea un rocca de 0.5 kg verticalmente in le aere. Si le rocca attinge un altitude maxime de 20 metros, qual esseva approximate le obra realisate per le catapulta sur le rocca? (Assume $g = 9.8 m/s^2$ e que le resistentia del aere es insignificante.)
Alice e Bob se trova sur patines de glace e se sta uno ante le altere. Alice pesa 60 kg e Bob pesa 80 kg. Alice se impinge via de Bob con un velocitate de 2 m/s. Qual es le velocitate de recule de Bob?
Alice e Bob se trova sur patines de glace e se sta uno ante le altere. Alice pesa 60 kg e Bob pesa 80 kg. Alice se impinge via de Bob con un velocitate de 2 m/s. Qual es le velocitate de recule de Bob?
Un bloco de 2 kg se move a 5 m/s sur un superficie horizontal lise. Illo collide con un fonte con un constante de fonte de 200 N/m. Qual es le compression maxime del fonte?
Un bloco de 2 kg se move a 5 m/s sur un superficie horizontal lise. Illo collide con un fonte con un constante de fonte de 200 N/m. Qual es le compression maxime del fonte?
Flashcards
Energia potential gravitational
Energia potential gravitational
Energia potential gravitational es le energia que un objecto ha a causa de su position relative a un puncto de referentia, usualmente le terra. Es calculate como: U = mgh
Formula pro energia potential gravitational
Formula pro energia potential gravitational
U = mgh, ubi U es energia potential gravitational (in joules), m es massa (in kg), g es acceleration debite al gravitation (approximativemente 9.8 m/s²), e h es altitude (in metros).
Calculation del energia potential de Corrie
Calculation del energia potential de Corrie
Pro calcular le energia potential gravitational de Corrie, multiplica su massa (56 kg) per le acceleration debite al gravitation (9.8 m/s²) e le altitude (2 metros): U = 56 kg * 9.8 m/s² * 2 m = 1097.6 J
Massa (m)
Massa (m)
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Gravitation (g)
Gravitation (g)
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Altitude (h)
Altitude (h)
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Study Notes
Gravitational Potential Energy (GPE)
- GPE is the energy an object possesses due to its height above a reference point.
- The formula for GPE is: GPE = mgh, where m is mass (kg), g is the acceleration due to gravity (9.8 m/s² on Earth), and h is height (m).
Applying the GPE Formula to Corrie's Jump
- Corrie's mass (m) is 56 kg.
- Corrie's jump height (h) is 2 meters.
- Gravitational acceleration (g) is approximately 9.8 m/s².
- GPE = 56 kg * 9.8 m/s² * 2 m.
- GPE = 1097.6 Joules (J).
- Therefore, Corrie's gravitational potential energy at the highest point of her jump is 1097.6 J.
Understanding the Result
- The GPE value represents the amount of energy Corrie has at the peak of her jump due to her position in Earth's gravitational field.
- This energy was converted from her kinetic energy (energy of motion) as she jumped upwards.
- As Corrie falls back down, her GPE will convert back into kinetic energy.
Important Considerations
- The reference point for height (h) is arbitrary but needs to be clearly defined. In this case e.g. the ground.
- GPE is a scalar quantity, meaning it only has magnitude (size) and no direction.
- The value of 'g' can vary slightly depending on location (altitude, latitude) but 9.8 m/s² is a good approximation for most situations on Earth's surface.
Other Relevant Physics Equations and Concepts
- Kinetic Energy (KE): KE = 0.5 * mv², where v is velocity. This is the energy of motion.
- Conservation of Energy: In a closed system, the total energy remains constant; energy can transform between forms (e.g., KE to GPE) but is neither created nor destroyed.
- Work Done: Work = Force * Distance, and can be related to changes in energy. The work Corrie did in jumping converted into GPE.
- Power: Power = Work / Time, representing the rate at which work is done or energy is transferred.
Example Calculations
- Calculation of height given GPE and mass: h = GPE / (mg)
- Calculation of mass given GPE and height: m = GPE / (gh)
Common Mistakes
- Forgetting to use consistent units (meters for height, kg for mass, m/s² for g).
- Confusing mass and weight. Weight is a force (mass * gravity) measured in Newtons, while mass is the amount of matter in an object measured in kilograms.
- Not squaring the velocity when calculating kinetic energy.
- Thinking GPE is always positive. If the reference point (zero height) is above the object, GPE can be negative.
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