Domanda del libro di testo
A large boulder is ejected vertically upward from a volcano with an initial speed of m/s. Ignore air resistance. At what time after being ejected is the boulder moving at m/s upward?
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Ch 02: Motion Along a Straight Line
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors37
- Ch 02: Motion Along a Straight Line57
- Ch 03: Motion in Two or Three Dimensions45
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws54
- Ch 06: Work & Kinetic Energy11
- Ch 07: Potential Energy & Conservation6
- Ch 08: Momentum, Impulse, and Collisions15
- Ch 09: Rotation of Rigid Bodies37
- Ch 10: Dynamics of Rotational Motion44
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics27
- Ch 13: Gravitation34
- Ch 14: Periodic Motion26
- Ch 15: Mechanical Waves22
- Ch 16: Sound & Hearing28
- Ch 17: Temperature and Heat28
- Ch 18: Thermal Properties of Matter35
- Ch 19: The First Law of Thermodynamics29
- Ch 20: The Second Law of Thermodynamics18
- Ch 21: Electric Charge and Electric Field28
- Ch 22: Gauss' Law21
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF24
- Ch 26: Direct-Current Circuits29
- Ch 27: Magnetic Field and Magnetic Forces16
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction22
- Ch 30: Inductance14
- Ch 31: Alternating Current20
- Ch 33: The Nature and Propagation of Light17
- Ch 34: Geometric Optics29
- Ch 35: Interference13
- Ch 36: Diffraction19
- Ch 37: Special Relativity19
- Ch 38: Photons: Light Waves Behaving as Particles12
- Ch 39: Particles Behaving as Waves25
- Ch 40: Quantum Mechanics I: Wave Functions20
- Ch 41: Quantum Mechanics II: Atomic Structure21
- Ch 42: Molecules and Condensed Matter17
- Ch 43: Nuclear Physics13
- Ch 44: Particle Physics and Cosmology17
Young & Freedman Calc15th EditionUniversity PhysicsISBN: 9780135159552Non è quello che usi tu?Cambia libro di testo
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Young & Freedman Calc 15th EditionCh 02: Motion Along a Straight LineProblema 44d
Young & Freedman Calc 15th EditionCh 02: Motion Along a Straight LineProblema 44dCapitolo 2, Problema 44d
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point m below its starting point s after it leaves the thrower's hand. Ignore air resistance. What are the magnitude and direction of its acceleration at the highest point?
Guida verificata passo dopo passo1
Recognize that the problem involves projectile motion, specifically vertical motion under gravity. The key point here is to understand that the only force acting on the egg is gravity, which affects its acceleration.
Recall that the acceleration due to gravity is constant and acts downward. This is a fundamental concept in physics, where the acceleration due to gravity is approximately 9.81 m/s² near the surface of the Earth.
At the highest point of its trajectory, the egg's velocity is zero because it momentarily stops before starting to fall back down. However, the acceleration due to gravity is still acting on it.
Since the problem asks for the magnitude and direction of the acceleration at the highest point, note that the acceleration remains constant at 9.81 m/s² downward throughout the motion, including at the highest point.
Conclude that the magnitude of the acceleration is 9.81 m/s², and the direction is downward, which is consistent with the acceleration due to gravity acting on the egg at all times during its flight.
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Projectile Motion
Projectile motion refers to the motion of an object thrown or projected into the air, subject to only the acceleration of gravity. In this scenario, the egg follows a parabolic trajectory, moving upward and then downward. Understanding the components of its motion, such as initial velocity, maximum height, and time of flight, is crucial for analyzing its behavior.
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Percorso guidato
04:44
Introduction to Projectile Motion
Acceleration Due to Gravity
The acceleration due to gravity is a constant force that acts on objects in free fall near the Earth's surface, typically denoted as 9.81 m/s² downward. This constant acceleration affects the egg throughout its motion, including at the highest point, where its velocity is momentarily zero but acceleration remains directed downward.
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Percorso guidato
05:20Acceleration Due to Gravity
Kinematics at the Highest Point
At the highest point of its trajectory, the egg's vertical velocity is zero, but it still experiences acceleration due to gravity. This means that while the egg momentarily stops moving upward, it immediately begins to accelerate downward. Understanding this helps in determining that the magnitude of acceleration is 9.81 m/s² downward, even at the peak.
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Percorso guidato
08:25Kinematics Equations
Pratica correlata
Domanda del libro di testo
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point m below its starting point s after it leaves the thrower's hand. Ignore air resistance. What is the initial speed of the egg?
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Domanda del libro di testo
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point m below its starting point s after it leaves the thrower's hand. Ignore air resistance. What is the magnitude of its velocity at the highest point?
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Domanda del libro di testo
An egg is thrown nearly vertically upward from a point near the cornice of a tall building. The egg just misses the cornice on the way down and passes a point m below its starting point s after it leaves the thrower's hand. Ignore air resistance. How high does it rise above its starting point?
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Domanda del libro di testo
A large boulder is ejected vertically upward from a volcano with an initial speed of m/s. Ignore air resistance. At what time is it moving at m/s downward?
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Domanda del libro di testo
A -kg rock is dropped from rest on the earth and reaches the ground in s. When it is dropped from the same height on Saturn's satellite Enceladus, the rock reaches the ground in s. What is the acceleration due to gravity on Enceladus?
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