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. When is the velocity of the boulder zero?
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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 46a
Young & Freedman Calc 15th EditionCh 02: Motion Along a Straight LineProblema 46aCapitolo 2, Problema 46a
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?
Guida verificata passo dopo passo1
Identify the known values: initial velocity \( v_0 = 40.0 \text{ m/s} \), final velocity \( v = 20.0 \text{ m/s} \), and acceleration due to gravity \( a = -9.8 \text{ m/s}^2 \) (negative because it acts downward).
Use the kinematic equation that relates initial velocity, final velocity, acceleration, and time: \( v = v_0 + at \).
Substitute the known values into the equation: \( 20.0 = 40.0 + (-9.8)t \).
Rearrange the equation to solve for time \( t \): \( t = \frac{20.0 - 40.0}{-9.8} \).
Calculate the value of \( t \) using the rearranged equation to find the time at which the boulder is moving at 20.0 m/s upward.
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Kinematics Equations
Kinematics equations describe the motion of objects under constant acceleration. For vertical motion, these equations relate initial velocity, final velocity, acceleration due to gravity, time, and displacement. In this problem, the equation v = u + at is used, where v is final velocity, u is initial velocity, a is acceleration (gravity), and t is time.
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Percorso guidato
08:25
Kinematics Equations
Acceleration due to Gravity
Gravity is a constant force that accelerates objects towards the Earth at approximately 9.81 m/s². In this scenario, the boulder is subject to this acceleration, which affects its velocity over time. Understanding gravity's role is crucial for calculating the time it takes for the boulder to reach a specific velocity.
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Percorso guidato
05:20Acceleration Due to Gravity
Initial and Final Velocity
Initial velocity is the speed at which an object starts its motion, while final velocity is the speed at a later time. In this problem, the boulder starts with an initial velocity of 40.0 m/s and we need to find the time when its velocity decreases to 20.0 m/s due to gravity's deceleration effect.
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Percorso guidato
7:27Escape Velocity
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