1%Y. li. l.A IY:10: 2 Problems of chapt.. →Problems of chapter 2 and 3:1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are thecartesian coordinates of this point?2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east ofnorth). 4.00 km west, and then3.00 km southeast (45.0° east of south).Where does he end up relative to his starting point? Work out your answergraphically. Check by using components.3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively;vector B has x and y components of 13.2 cm and -6.60 cm, respectively.If A - B + 3C0, what are the components of C?4. The vectors A and B are given by A = 2i +3j andB = -i+2j.(a) Determine the scalar product A.B. (b) Find the angle 0 between A and B.(c) Determine the vector product AXB.5. The vector position of a particle varies in time according to the expressionr = (3.00i - 6.00: 2 j) m. (a) Find expressions for the velocity andacceleration as functions of time. (b) Determine the particle's position andvelocity at = 1.00 s.6. A long-jumper leaves the ground at an angle of 20.0° above the horizontaland at a speed of 11.0 m/s. (a) How far does he jump in the horizontaldirection? (Assume his motion is equivalent to that of a particle.)7. An astronaut on a strange planet finds that she can jump a maximumhorizontal distance of 15.0 m if her initial speed is 3.00 m/s. What is thefree-fall acceleration on the planet?8. A tire 0.500 m in radius rotates at a constant rate of 200 rev/min. Find thespeed and acceleration of a small stone lodged in the tread of the tire (on itsouter edge). (Hint: In one revolution, the stone travels a distance cqual to thecircumference of its path, 2r.)9. A student attaches a ball to the end of a string 0.600 m in length and thenswings the ball in a vertical circle. The speed of the ball is 4.30 m/s at itshighest point and 6.50 m's at its lowest point. Find the acceleration of theball when the string is vertical and the ball is at (a) its highest point and (b)its lowest point.

Note : Since there is multiple question, Kindly resubmit the rest question separately to get the…

2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of north). 4.00 km west, and then3.00 km southeast (45.0° east of south). Where does he end up relative to his starting point? Work out your answer graphically. Check by using components.

2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of north). 4.00 km west, and then3.00 km southeast (45.0° east of south). Where does he end up relative to his starting point? Work out your answer graphically. Check by using components.

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

1%Y. li. l.
A IY:10
: 2 Problems of chapt.. →
Problems of chapter 2 and 3:
1. The polar coordinates of a point are r = 5.50 m and 0 = 240°. What are the
cartesian coordinates of this point?
2. The driver of a car drives 3.00 km north, 2.00 km northeast (45.0° east of
north). 4.00 km west, and then3.00 km southeast (45.0° east of south).
Where does he end up relative to his starting point? Work out your answer
graphically. Check by using components.
3. Vector A has x and y components of -8.70 cm and 15.0 cm, respectively;
vector B has x and y components of 13.2 cm and -6.60 cm, respectively.
If A - B + 3C0, what are the components of C?
4. The vectors A and B are given by A = 2i +3j andB = -i+2j.
(a) Determine the scalar product A.B. (b) Find the angle 0 between A and B.
(c) Determine the vector product AXB.
5. The vector position of a particle varies in time according to the expression
r = (3.00i - 6.00: 2 j) m. (a) Find expressions for the velocity and
acceleration as functions of time. (b) Determine the particle's position and
velocity at = 1.00 s.
6. A long-jumper leaves the ground at an angle of 20.0° above the horizontal
and at a speed of 11.0 m/s. (a) How far does he jump in the horizontal
direction? (Assume his motion is equivalent to that of a particle.)
7. An astronaut on a strange planet finds that she can jump a maximum
horizontal distance of 15.0 m if her initial speed is 3.00 m/s. What is the
free-fall acceleration on the planet?
8. A tire 0.500 m in radius rotates at a constant rate of 200 rev/min. Find the
speed and acceleration of a small stone lodged in the tread of the tire (on its
outer edge). (Hint: In one revolution, the stone travels a distance cqual to the
circumference of its path, 2r.)
9. A student attaches a ball to the end of a string 0.600 m in length and then
swings the ball in a vertical circle. The speed of the ball is 4.30 m/s at its
highest point and 6.50 m's at its lowest point. Find the acceleration of the
ball when the string is vertical and the ball is at (a) its highest point and (b)
its lowest point.

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