physics final part 2
a 1 kg glider and 2 kg glider both slide toward each other at 1 m/s on an air track. They collide and stick. The combined mass moves at
1/3 m/s
a machine puts out 100 watts of power for every 1000 watts put into it. The efficiency of the machine is
10% 1000w/100w= 10%
two identical particles move toward each other. Just before they collide one has a kinetic energy of 25 J and the other 75 J. At this instant their total KE is
100 J 25+75 =100 J kinetic energy can add
a toy elevator is raised from the ground floor to the second floor in 10 seconds. The power needed using 1000 J of work is
100 W
an astronaut (50kg) floating alone in outer space throws baseball (1kg). If the ball moves away at 20 m/s, calculate the speed of the astronaut
1000 m/s ????
the mass of a ball moving 3 m/s with a momentum of 48 kg m/s
16 kg
the mass of a ball moving at 3 m/s with a momentum of 48 kg m/s is
16 kg 48/3 = m3/3 16=m
1 mile = how many meters (roughly)
1600 m
the circumference of bike wheel is 2m. If it rotates at 1 rev per second then its linear speed is
2 m/s
The average braking force of a 1000 kg car moving at 10 m/s braking to a stop in 5 s is
2000 N
the average breaking force of 1000 kg car moving 10 m/s breaking to stop in 5 s is
2000 N braking force = mXv/t 1000(10)/5 = 2000N
speed of 4kg ball with momentum of 12 kg m/s
3 m/s
the speed of a 4kg ball with a momentum of 12 kg m/s is
3 m/s
one kilowatt- hour represents
3.6 million joules
danny weighs 500 N and steps off a diving board 1m above the water. Danny hits the water with KE of
500 J KE= 1/2 mv^2 KE= 1/2 (500)(10)^2 w= fd 500(1)= 500 J
what is the force of gravity on a 500 N woman standing on earths surface
5000 N
two 5000 kg rail cars without friction (one at 1 m/s, the other at 2 m/s) toward each other on a level track. They collide, couple, and roll together with a combined momentum of
5000 kg m/s
the change in momentum that occurs when a 1 kg ball traveling at 4 m/s strikes a wall and bounces back at 2 m/s is
6 kg m/s
if you're on a ferris wheel seated 10m from the ferris wheels axis that makes a complete rotation each minute your linear speed is
62.8 m/min v=rw v=10(2pi)
the work done in pushing a TV set a distance of 4m with an average force of 20 N is
80 J w=fd w=20(4)= 80 J
it is correct to say that impulse is equal to
a corresponding change in momentum - impulse is proportional to momentum
if alex wishes to rotate his skateboard, then he must apply a a. torque b. rotational manuver
a torque he needs to apply a force on the ends of the skateboard in order to rotate it
a block of ice (2 kg) at speed 2 m/s slides on a table that has a height of 3m a. calculate the total mechanical energy of the block just before it leaves the table b. use conservation of energy to calculate the speed of the block just before it hits the ground
a. 12 J b. 6 m/s look up on chegg
a 1kg ball dropped from 2m rebounds only 1.5 m after hitting the ground. a. what is the KE of the ball just before and just after it hits the ground b. what amount of energy is converted into heat and other forms of energies?
a. 3 J b. all of the energy is converted because energy doesn't disappear
a 1.0 kg ball traveling at 4 m/s strikes a wall and bounces back at 2.0 m/s a . what is the momentum of the ball before it hits the wall? b. calculate the change in momentum for the ball
a. 4 kg m/s b. 2 kg m/s
two blocks move on ice. left block= 2kg with 2 m/s right block= 3kg with 1m/s a. what is the total momentum of the system? b. After the collision, 3kg block moves with 1.5 m/s what is the velocity of the 2kg block?
a. 7kg m/s b.1 m/s because the velocity decreases
two identical gliders slide toward each other on a air track. one moves at 1 m/s and the other at 2 m/s. They collide, stick, and moves. The mass of one cart is M kg a. Write an expression for momentum of each cart. Note that your answer will contain M b. User conservation of momentum to find the speed of the combined carts
a. p=m(2) p=m(1) b. 3 m/s
a hydraulic jack is used to lift objects such as automobiles. The input force (f) is 200 N over a distance of 1 meter a. what is the work done by the input force b. calculate the output force over a distance of .2 meters
a. w= 200 J b. 200 J/.2 = f(2m/.2= 1000F
a. how much work is done when you push a crate across a 20 m floor with a horizontal 100 N force? b. if the force of friction is a steady 50 N, show that the KE gained by the create is 1000 J c. show that 1000J of energy is turned into heat
a. w=fd w=100N (20m) w= 2000 J b. force friction = 50N 100-50=50 N KE= 50N(20m)= 1000 J gained
a circus diver drops from a high pole into water far below. When he is halfway down a. his pe is halved b. he has gained an amount of ke equal to half his initial pe c. his ke and pe are equal d. all above
all ! pe decreases going down we gain ke so halfway means 1/2 pe and 1/2 ke
a car traveling along the highway brakes to a stop over a certain distance. More braking force is required if the car has a. more mass b. more momentum c. less stopping distance
all of the above more mass= more momentum more mass means you need greater speed which would take longer to brake
solid cylinder will roll down incline with greater ______ than a hollow cylinder
any solid cylinder will roll down any incline with greater acceleration than any hollow cylinder, regardless of mass or radius
both rotational inertia and torque involve distance from the
axis of rotation
bigger radius= ______ speed
bigger
The bob of a simple pendulum has its max KE at the
bottom of its swing
stand a broom upright at the end of its pole and let it topple to the floor. repeat but with the bristle end on the floor. The faster fall will be the broom on its
bristles because the mass is closer to the center so it falls faster
to make a profit a buyer purchases metal by weight at one altitude and sells it at the same price per pound at another altitude. The supplier should buy a ______ altitude and sell at a ______ altitude
buy a high altitude and sell at a low altitude
a coin and ring rill down an incline at the same time , the first to reach the bottom is the
coin because it is easier to rotate
the net force exerted on a cart traveling in a circular path at constant speed is
directed toward the center of the curve
the net force exerted on a car traveling in a circular path at constant speed is directed towards _______
directed towards the center of the curve - if acceleration pointing center- force is pointing center
double R = _______ v
double
if a turn table's rotational speed is doubled, then the linear speed of a pet hamster sitting on the edge of the record will
double
suppose you take a sharper turn than before and halve the radius, by what factor will the centripetal force need to change to prevent skitting?
double
double angular = ________ linear
double angular = double linear 2xw=2xv
when the force that produces an impulse acts for twice as much time, the impulse is
doubled
hampster sits on record player that has angular speed. If the hamster moves to a point twice as far from the center, then its linear speed a. doubles b. halves c. remains same
doubles
when the speed of an object is doubled, its momentum
doubles ex. p=mv p=(5)(5)= 25 p= (5)(10)= 50
the unit kilowatt- hour is a unit of a. energy b. momentum c. power d. time
energy
hoop has mass far/close to the axis
far
solid cylinder starting from rest will roll down an incline faster/ slower than a hoop
faster
the total momentum of a flock of identical birds could be zero only if the birds are
flying in different directions
a fast moving car hitting a haystack or hitting a cement wall produces vastly different results a. do both experience the same change in momentum? b. do both experience the same impulse? c. do both experience the same force?
for both the wall and hay your momentum is brought to zero by the same impulse. you extend the time during which your momentum is brought to zero. A longer time interval reduces the force and decreases the resulting deceleration.
if you place a pipe over end of range when trying to rotate a bolt, effectively making the wrench handle twice as long, you will multiply the torque by
four 2x force + 2x radius = 4x
suppose you double the speed at which you round a bend in the curve, by what factor must the cf change to prevent you from skitting
four times
greater rotational inertia has ____ resistance to change in motion
greater
hoop has _______ rotational inertia and is harder to start rolling
greater
according to Newton, the greater the masses of interacting objects, the ____________ the gravitational force between them
greater the gravitational force between them
half radius = _______ speed
half
consider a string with several rocks tied around its length at equally spaced intervals. you whirl the string overhead so that the rocks follow circular paths. compared with a rock at the end of the string, a rock in the middle moves
half as fast
a block of ice sliding down an incline has half its maximum kinetic energy a. at the top b. at the bottom c. halfway down d. need more info
halfway down
inner = _______ radius
higher
angular (w) means
how much angle it will cover in 1 second
linear (v) means
how much distance it will travel in 1 second
conservation of angular momentum
if no external net torque acts on a rotational system
padded dashboards are safer than non padded because the passengers hitting the dashboard encounter
lengthened time of contact - time is longer
each rolling wheel for RR train is tapered. Compared with the wide part and narrow part of the wheel has a tangential speed that is a. less b. greater c. same for both
less
show the mass of the box is 5 kg when leg of string is 2m, string tension is 10 N & tangible speed of puck is 2 m/s
m= (10) 2/ 2^2 = 5 kg
a same size iron ball and wooden ball are dropped simultaneously from a tower and reach the ground at the same time. The iron ball has a greater
momentum
long baseball bat help near narrow end has more/less rotational inertia than a short bat
more
horses with greatest liner speed on a merry go round are located
near the outside
an industrial flywheel has greater rotational inertia when most of its mass is
near the rim
a falling 1 N apple hits the ground with a force of about a. 1 N b. 2 N c. 4 N d. 10N e. need more info
need more info
when Peter tosses an egg against a sagging sheet, the egg doesn't break due to a. reduced impulse b. reduced momentum c. both d. neither
neither
a light aluminum ball and a heavy lead ball of the same size roll down an incline. When they are halfway down the incline they will have identical a. KE b. PE c. momentum d. inertia
none halfway can't have identical because they're different weight and PE is decreasing while KE is increasing
a sandbag motionless in outer space is hit by a three times as massive sandbag moving at 12 m/s. They stick together and move at a speed of a. 3 m/s b. 4 m/s c. 6 m/s d. 8 m's e. none above
none above
train the outer turn takes longer or shorter from inner turn?
outer takes longer
both is more likely to turn when the applied force is ________ to the handle
perpendicular
tangential speed depends on
radial distance (distance from the axis)
run with legs bent you increase/reduce rotational inertia
reduce
when railroad tracks make a curve the outer tracks are longer. this means a wheel on the outer track needs to
roll faster than the wheel on the inner track
compared with a force, a torque involves:
rotation, leverage, and distance from axis rotation
tangential speed is directly proportional to?
rotational speed at any fixed distance from the axis of rotation
merry go round cover _________ angular speed and ________ linear speed
same angular and dif linear
level arm is the _____ distance between the axis of rotation and the line along which the force acts
shortest
which requires the most amount of work by the brakes of a car? a. slowing down from 100 km/h to 70 km/h b. slowing down from 70 km/h to a stop c. equal amounts for both
slowing down from 100 km/h to 70 km/h
compared with falling on a stone floor, a wine glass may not break when it falls on a carpet floor because the
stopping time is longer on the carpet
the rotational inertia of your leg is greater when your leg is
straight
calculate the torque produced by a 50 N force when a pipe extends the length of the wrench to .5 m
t=rf t= .5x 50 t= .25 Nm
which jar will roll down an incline in the shortest time, an empty one or one filled with peanutbutter
the filled jar because the mass is closer to the center rotating axis
to catch a fast moving ball, you extend your hand forward before contact with the ball and let it ride backward in the direction of the balls motion. Doing this reduces the force of contact on your hand principally because the
time of contact increases - longer time less force
a freight train rolls along track with considerable momentum. If it rolls at the same speed but has twice as much mass, its momentum is
twice
twice radius= ________ speed
twice
two identical arrows, one with twice the KE of the other, are fired into a bale of hay. Compared with penetration of the slow arrow, the faster arrow penetrates
twice as far - 2xKE= 2x distance KE is in motion, so twice the KE requires twice the distance
the work you do when pushing a shopping cart twice as far while applying the same force is
twice as much 2x distance means 2x work
linear speed equation
v=rw linear speed= radius x angular speed