Ignore air resistance. Find the height of the table top above the floor; the horizontal distance from the edge of the table to the point where the book strikes the floor; the horizontal and vertical components of the book’s velocity‚ and the magnitude and direction of its velocity‚ just before the book reaches the floor. (Considering the direction to be negative downwards) Answers [0.600 m‚ 0.385 m‚ Vx = 1.10 m/s ‚ Vy = -3.43 m/s ‚ v = 3.60 m/s ‚ 72.2 below the horizontal]
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operations. | Vectors cannot be added‚ subtracted and multiplied following simple arithmetic laws. Arithmetic division of vectors is not possible at all. | Example: mass‚ volume‚ time‚ distance‚ speed‚ work‚ temperature | Example: displacement‚ velocity‚ acceleration‚ force | Distance and displacement Distance is defined as the ground covered by a moving object during its motion. Its SI unit is metre (m). It has only magnitude‚ but no direction. Distance can never be negative. The minimum value
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reference point for the position vector‚ it is enough to specify the coordinates x‚ y and z. For a moving object the position vector is a function of time. Velocity & Acceleration • Velocity is defined as the change in position over a change in time; thus the average velocity is and the instantaneous velocity is • For motion in one dimension the velocity is the slope of the position line plotted versus time. • The same logic is used in deriving the average and instantaneous acceleration resulting in: •
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that the x-component of its velocity has the constant value vx = C; that is‚ x = Ct i. On the diagram above‚ indicate the directions of the particle’s velocity vector v and acceleration vector a at point R‚ and label each vector. ii. Determine the y-component of the particle’s velocity as a function of x. iii. Determine the y-component of the particle’s acceleration. b. Suppose‚ instead‚ that the particle moves along the same parabola with a velocity whose x-component is given
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Question What would the participant’s acceleration be if he/she sprints forward in a positive direction? Hypothesis/Prediction When a person sprints forward‚ it means he/she speeds up. Consequently‚ the acceleration should be positive. When the velocity accelerates at a constant rate‚ the acceleration should remain constant. Therefore‚ if the participant is moving toward a positive direction and the speed increases‚ then the acceleration should be positive and constant. Materials * Ticker
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length in 10 seconds. Calculate a) speed‚ b) velocity. 5. A car travels 10 m in 5 seconds‚ 20 m in next 10 seconds and 30 m in the last 10 seconds. Find the average speed of the car. 6. A body moving in a circle of radius r covers 3/4th of the circle. Calculate the ratio of distance to displacement. 7. A train is moving with a velocity of 36 km/h. Find the distance travelled by the train in a) 1 hour‚ b) 1 minute. 8. An electron moving with a velocity of 5×104 ms-1 enters into a uniform electric
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Chapter 9 Problems 1‚ 2‚ 3 = straightforward‚ intermediate‚ challenging Section 9.1 Linear Momentum and its Conservation 1. A 3.00-kg particle has a velocity of [pic]. (a) Find its x and y components of momentum. (b) Find the magnitude and direction of its momentum. 2. A 0.100-kg ball is thrown straight up into the air with an initial speed of 15.0 m/s. Find the momentum of the ball (a) at its maximum height and (b) halfway up to its maximum height. 3. How fast can you set the Earth
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vertically; there is no horizontal deceleration in the absence of aerodynamic forces. Acceleration is the same regardless of the weight of the implement. Therefore‚ the vertical velocity of a projectile decreases by 9.8 m/s every second. Linear Acceleration Acceleration is a measure of the time rate of change of velocity. Acceleration can be caused by a change in speed or direction or both. For example‚ a skater who goes from a standstill to full speed quicker than another skater has greater acceleration
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is 1.5 meters long‚ find the average speed of the ball. 5. * A stone tied on a rope has a frequency of 27 rpm. Find the average speed of the stone if the rope is 12 meters long. Centripetal Acceleration (ac) – the rate of change of tangential velocity; standard unit is meters per square second (m/s2); ac = v2/r = vω Sample Problem: 5. A metal ball is attached to a 1-m long string and is whirled to make 3 revolutions per second with the other end as the center. How much acceleration will the
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includes the air resistance and different kinds of errors caused by students’ carelessness is different from the theory‚it is unaviodable that the results are quite different from the theoretic statistics. The horizontal velocity is related to the range‚ while the vertical velocity is related to the maximum altitude. This experiment can help us reinforce the concepts related to the motion in two dimensions although the water rocket does not have the ideal situation. A lot of equations we learned in
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