# Vectors, Kinematics, Forces

398.7k points

1)  Vector   is 6.6 units long and points along the negative x-axis. Vector  is 8.5 units long and points at + to the positive x-axis.

A) What are the x and y components of each vector?

B) Determine the sum Vectors  +  (magnitude and angle).

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2) The summit of a mountain, 2450 m above base camp, is measured on a map to be 4580 m horizontally from the camp in a direction 32.5º west of north. What are the components of the displacement vector from camp to summit? What is its magnitude? Choose the x-axis east, y axis north, and z axis up.

3) A ball is thrown horizontally from the roof of a building 45.0 m tall and lands 24.0 m from the base. What was the balls initial speed?

4) Refer to Figure in Textbook. The cliff divers of Acapulco push off horizontally from rock platforms about 35 m above the water, but they must clear rocky outcrops at water level that extend out into the water 5.0 m from the base of the cliff directly under their launch point. What minimum push-off speed is necessary to clear the rocks? How long are they in the air?

5) What average force is required to stop a 1100-kg car in 8.0 s if the car is traveling at 95 km/h?

6) A person stands on a bathroom scale in a motionless elevator. When the elevator begins to move, the scale briefly reads only 0.75 of the persons regular weight. Calculate the acceleration of the elevator, and find the direction of acceleration.

7) A car can decelerate at -4.80  without skidding when coming to rest on a level road. What would its deceleration be if the road were inclined at 13º uphill? Assume the same static friction coefficient.

8) Police investigators, examining the scene of an accident involving two cars, measure 72-m-long skid marks of one of the cars, which nearly came to a stop before colliding. The coefficient of kinetic friction between rubber and the pavement is about 0.80. Estimate the initial speed of that car assuming a level road.

9) A 0.45-kg ball, attached to the end of a horizontal cord, is rotated in a circle of radius 1.3 m on a frictionless horizontal surface. If the cord will break when the tension in it exceeds 75 N, what is the maximum speed the ball can have?

10) A hypothetical planet has a mass 1.66 times that of Earth, but the same radius. What is g near its surface?

11) During an Apollo lunar landing mission, the command module continued to orbit the Moon at an altitude of about 100 km. How long did it take to go around the Moon once?

12) A Ferris wheel 24.0 m in diameter rotates once every 15.5 s. What is the ratio of a persons apparent weight to her real weight (_a_) at the top, and (_b_) at the bottom?

13) (II) A 330-kg piano slides 3.6 m down a 28º incline and is kept from accelerating by a man who is pushing back on it parallel to the incline_ (Fig. 636). The effective coefficient of kinetic friction is 0.40. Calculate: _(a) the force exerted by the man, (b) the work done by the man on the piano, (c) the work done by the friction force, (d) the work done by the force of gravity, and (e) the net work done on the piano.

14) (II) A spring with k=53 N/m hangs vertically next to a ruler. The end of the spring is next to the 15-cm mark on the ruler. If a 2.5-kg mass is now attached to the end of the spring, where will the end of the spring line up with the ruler marks?

15)  (II) A block of mass m slides without friction along the looped track shown in Fig. 639. If the block is to remain on the track, even at the top of the circle whose radius is r), from what minimum height h must it be released?

16) A film of Jesse Owenss famous long jump (Fig. 642) in the 1936 Olympics shows that his center of mass rose 1.1 m from launch point to the top of the arc. What minimum speed did he need at launch if he was traveling at the top of the arc?

Vectors, Kinematics

403.4k points

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Excerpt from file: Physics Tutorial 1) Vector is 6.6 units long and points along the negative x-axis. Vector is 8.5 units long and points at to the positive x-axis. A) What are the x and y components of each vector? B) Determine the sum Vectors (magnitude and angle). 2) The summit of a mountain, 2450 m above base

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