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The language of science is
mathematics
Scientific equations in a conceptual course are mainly
guides to thinking about the relationships between concepts
In science, an educated guess is a
hypothesis
Success in science is mainly linked to emphasis on
experiments
the two measurements are necessary for calculating
distance and time
a glance at the speedometer on your vehicle will tell your
instantaneous speed
Nellie runs the length of a 100-yard football field in a time of 20 seconds. Her average running speed is
5 yards/seconds
The average speed of Daisy running a distance of 2km in a time of one-half hour is
4 km/h
When Jean hikes a distance of 1 km in a time of one-half hour, her average speed is
2 km/h
The average speed of a horse that gallops a distance of 10 km in a time of 30 minutes is
30 km/h
Distinguish between speed and velocity
speed has a magnitude but no direction is specified; velocity is a vector.
Why do we say that velocity is a vector and speed is not?
velocity includes a direction, and speed does not
Does the speedometer on a vehicle show average speed or instantaneous speed?
instantaneous speed
A mosquito flying at 3 m/s encounters a 3-m/s breeze blowing in the same direction, which gives it a resulting speed over the ground of
6 m/s
A mosquito flying at 3 m/s encounters a 3-m/s breeze blowing in the opposite direction, which gives it a resulting speed over the ground of
0 m/s
You're at rest in a hammock when a hungry mosquito sees you as lunch, while a 2-m/s breeze is blowing. If the mosquito joins you for lunch, it should first hover over you by flying
against the breeze at 2 m/s
While in an airplane flying at 100 km/h you look down from the window and spot another airplane flying at the same speed in the opposite direction. Relative to you, the speed of the spotted plane is
200 km/h
You're driving in a car at 50 km/h and bump into a car ahead traveling at 48 km/h in the same direction. The speed of impact is
2 km/h
When a ball increases in speed by the same amount each second, its acceleration
is constant
If a ball rolls down an inclined plane and gains 4 m/s each second it rolls, its acceleration is
4 m/s²
A motor scooter undergoes acceleration when it
decreases speed, gains speed, changes direction
The acceleration of a cart moving an inclined plane (a ramp)
is constant
an object is pulled with two forced, 10 N northward and 15 N southward. The magnitude of the net force is
5 N
An object is pulled with two forces, 10 N northward and 15 N southward. The direction of the net force is to the
south
An object is pulled with three forces: one at 20 N to the right, another at 40 N to the right, and the third at 30 N to the left. The net force is
50 N to the right
Given that two forces of 10 N and 15 N act horizontally (one dimension) on an object, the net force must
be either 5 N or 25 N
What two properties are necessary for a vector quantity?
magnitude and direction
The support force on a 10-N book that rests on a horizontal surface is
10 N
Joshua stands on a floor that supports him. When Sydney rides piggy-back on Joshua, the support force by the floor beneath Joshua
increases
Daisy weighs 120 N and carries Trixie who weighs 40 N on her back. The support force on Daisy's feet is
160 N
When you stand at rest on a pair of bathroom scales, the readings on the scales will always
add to equal your weight.
When Lillian hangs from a pair of gym rings, the upward support forces by the rings will always
add up to equal her weight.
An 800-N woman stands at rest on two bathroom scales so that one scale shows a reading of 500 N. The reading on the other scale is
300 N
As you jump up and down on a floor, the support force by the floor experiences
changes
When Marie pushes her desk to the right, friction between the floor and the desk acts toward
the left
The resistive force of friction occurs for
solids, liquids, and gases
A crate is at rest on a horizontal floor, with nobody pushing. The friction force acting on the crate is
zero
Marie pushes horizontally on her desk, but not hard enough to get it moving. The friction force acting on the desk is
equal and opposite to her push
If you push to the right on a heavy piece of furniture and it slides, what is the direction of friction on the furniture?
left
Suppose you push to the right on a heavy piece of furniture but not hard enough to make it slide. Does a friction force act on the furniture?
yes, a friction force to the left acts on the furniture
If you push a heavy piece of furniture and it slides at constant velocity, how much friction acts on it compared to your pushing force?
it is a friction force equal to the pushing force and in the opposite
An 800-N man stands at rest with his weight evenly distributed on two bathroom scales. The reading on each scale is
400 N
Shake an object to and fro if you want to judge its
mass
A heavy ball hangs by a string, with a second string attached to its bottom (the figure above). A slow pull on the bottom string breaks the
top string
A heavy ball hangs by a string, with a second string attached to its bottom (the figure above). A quick pull on the bottom string breaks the
bottom string
When the bottom string is pulled slowly in the heavy-ball-and-strings demonstration (the figure above), tension
in the top string is due to your pull plus the weight of the ball
An object that has twice as much mass as another object also has twice as much
inertia
Newton's second law focuses on
acceleration
To steadily (constantly) increase the velocity of something requires a
constant net force
A constant net force on a railroad car produces constant
acceleration
A given net force propels an object along a straight-line path. If the net force were doubled, its acceleration would
double
If an object's mass decreases while a constant force acts on it, the acceleration
increases
A given net force propels an object along a straight-line path. If the mass were doubled, its acceleration would
be half
A 10-kg block is pushed across a friction-free horizontal surface with a horizontal force of 20 N. The acceleration of the block is
2 m/s²
A 10-N block and a 1-N block lie on a horizontal frictionless table. To push them with equal acceleration, we would have to push with
10 times as much force on the heavier block
Which object has zero acceleration?
one in a mechanical equilibrium, one at rest, one moving at constant velocity
Jake pulls on a 25-kg cart with a constant force of 50 N. What is the wagon's acceleration?
2.0 m/s2
A block is dragged at constant velocity across a level surface by a force of 6 N. What is the force of friction between the block and the surface?
6 N
A 1000-kg car accelerates at 2 m/s2. What is the net force exerted on the car?
2000 N
As an object freely falls, its
velocity increases
During each second of free fall, the speed of an object
increases by the same amount
The gain in speed each second for a freely falling object is about
10 m/s
Any falling object that gains a velocity of 10 m/s each second has an acceleration of
10 m/s2
At the end of 1/2 second an apple freely falling from rest has a speed of
5 m/s
At the end of 2 seconds of free fall, an apple falling from rest has a speed of
more than 10 m/s
An object in free fall has a speed of 60 m/s. One second later its speed is
70 m/s
A free-falling object has a speed of 30 m/s at one instant. Exactly 2 seconds later its speed will be
50 m/s
The acceleration of a vertically-thrown ball at the top of its path is
10 m/s2
When an apple that weighs 1 N is dropped and freely falls, the net force on the apple is
1 N
A 10-kg brick and a 1-kg book are dropped in a vacuum. The force of gravity on the 10-kg brick is
10 times as much as the force on the 1-kg book
A 10-kg brick and a 1-kg book are dropped in a vacuum. The acceleration of the 10-kg brick is
the same as that of the 1-kg book
A heavy object and a light object in a vacuum are dropped at the same time from rest. The heavier object reaches the ground
at the same time as the lighter object
A heavy rock and a light rock in free fall have the same acceleration. Both rocks have the same acceleration because
ratio of force to mass is the same
If an object's mass is decreasing while a constant force is applied to the object, the acceleration
increases
To say there is no such thing as only one force means
there must also be an oppositely directed force
You cannot exert a force on a wall
unless the wall simultaneously exerts the same amount of force on you
When you rub your hands together, you
cannot push harder on one hand than the other
A player hits a ball with a bat. If one part of the interaction is the bat against the ball, the other part is the
ball against the bat
A martial arts person breaks a board with a blow of 3000 N. The force that acts on the hand is
3000 N
A car traveling at 100 km/h strikes an unfortunate bug that splatters on the windshield. The force of impact is greater on the
same for both
Whenever one object exerts a force on a second object, the second object exerts a force on the first that
is equal in magnitude, occurs simultaneously, is opposite in direction
How many forces are required for a single interaction?
two
For a falling ball the action force is the pull of Earth on the ball. The reaction force is the
pull of the ball on Earth
Earth pulls on the Moon. Similarly the Moon pulls on Earth, evidence that
Earth and Moon pull on each other and earth's and Moon's pulls comprise an action-reaction pair
The force exerted on the tires of a car to directly accelerate the car along a road is exerted by the
road
Arnold Strongman and Suzie Small each pull on opposite ends of a rope in a tug-of-war. The greater force on the rope is exerted by
same by each
Arnold Strongman wearing socks and Suzie Small in gym shoes have a tug-of-war on a polished floor. The likely winner is
Suzie
Both ends of a piece of rope are pulled by two people in a tug-of-war. If each pulls with a 400-N force, the tension in the rope is
400 N
How does a helicopter get its lifting force?
the helicopter exerts a force on the air, pushing air down; the reaction force from the air pushes the helicopter up
It is correct to say that impulse is equal to
the change in momentum
The impulse-momentum relationship is a direct result of
Newton's second law
The distinction between impulse and force involves the
time the force acts
The force of a falling apple hitting the ground depends upon
the speed of the apple just before it hits the ground, whether or not the apple bounces, and the time of contact with the ground
To catch a fast-moving softball with your bare hand, you extend your hand forward just before the catch and then let the ball ride backward with your hand. Doing this reduces the catching force because the
time of catch is increased
A karate expert executes a swift blow and breaks a cement block with her bare hand. The magnitude of the force on her hand is
the same as the force applied to the block
When you jump from an elevated position you usually bend your knees upon reaching the ground. By doing this, the contact time is about 10 times more than for a stiff-legged landing and the average force your body experiences is reduced by
about 10 times
A car traveling along the highway brakes to a stop. A greater braking force is required when the car has
more momentum, more mass, and less stopping distance
Padded dashboards in cars are safer in an accident than non-padded ones because a person hitting the dash has
decreased contact force, and increased time of contact
Compared with falling on a wooden floor, a wine glass may not break when it falls on a carpeted floor because of
longer time to stop
When a boxer is moving away from a punch, the force experienced is reduced because
the time of contact is increased