교과서 질문
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 Calc14th EditionUniversity PhysicsISBN: 9780321973610
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TOC.tableOfContents
- Ch 01: Units, Physical Quantities & Vectors41
- Ch 02: Motion Along a Straight Line67
- Ch 03: Motion in Two or Three Dimensions47
- Ch 04: Newton's Laws of Motion23
- Ch 05: Applying Newton's Laws59
- Ch 06: Work & Kinetic Energy14
- Ch 07: Potential Energy & Conservation8
- Ch 08: Momentum, Impulse, and Collisions18
- Ch 09: Rotation of Rigid Bodies42
- Ch 10: Dynamics of Rotational Motion48
- Ch 11: Equilibrium & Elasticity27
- Ch 12: Fluid Mechanics31
- Ch 13: Gravitation35
- Ch 14: Periodic Motion32
- Ch 15: Mechanical Waves25
- Ch 16: Sound & Hearing32
- Ch 17: Temperature and Heat36
- Ch 18: Thermal Properties of Matter38
- Ch 19: The First Law of Thermodynamics33
- Ch 20: The Second Law of Thermodynamics22
- Ch 21: Electric Charge and Electric Field36
- Ch 22: Gauss' Law24
- Ch 23: Electric Potential31
- Ch 24: Capacitance and Dielectrics18
- Ch 25: Current, Resistance, and EMF26
- Ch 26: Direct-Current Circuits30
- Ch 27: Magnetic Field and Magnetic Forces18
- Ch 28: Sources of Magnetic Field10
- Ch 29: Electromagnetic Induction28
- Ch 30: Inductance17
- Ch 31: Alternating Current21
- Ch 32: Electromagnetic Waves1
- Ch 33: The Nature and Propagation of Light20
- Ch 34: Geometric Optics34
- Ch 35: Interference19
- Ch 36: Diffraction25
- Ch 37: Special Relativity20
- Ch 38: Photons: Light Waves Behaving as Particles15
- Ch 39: Particles Behaving as Waves26
- Ch 40: Quantum Mechanics I: Wave Functions21
- Ch 41: Quantum Mechanics II: Atomic Structure25
- Ch 42: Molecules and Condensed Matter18
- Ch 43: Nuclear Physics16
- Ch 44: Particle Physics and Cosmology23
2장, 문제 48a
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?
검증된 단계별 안내1
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.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
1m도움이 되었나요?
주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
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.
추천 영상:
가이드 코스
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.
추천 영상:
가이드 코스
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.
추천 영상:
가이드 코스
7:27Escape Velocity
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