chapter 9 physics
why magnitude impulse will give 2 kg object a momentum change of magnitude +50 kg&m/s
+50 N *s
a rifle of mass M is initially at rest but free to recoil. it fires a bullet of mass m and velocity v. after firing the velocity of the rifle is
-mv/M
4 N puck is traveling at 3 m/s. it strikes a 8 N puck which is stationary. the two pucks stick tighter. their common final speed is
1 m/s
for a completely inelastic two body collision the kinetic energy retained by the object is the same as
1/2Mvcom^2, where M is the total mass and com is the velocity of the center of mass
.2 kg ball is dropped from the window of a building. it strikes the sidewalk below at 30 m/s and rebounds up at 20 m/s. th impulse on the ball during the collision is
10 N* s upward
bullets from 2 revolvers are fired with the same velocity. the bullet from gun 1 is 2x as heave as the bullet from gun 2. gun 1 weighs 3x as much as gun 2. the ratio fo the momentum imparted to gun 1 to that imparted to gun 2 is
2:1
640 N hunter gets a rope around a 3200 N polar bear. they are stationary 20 m apart on frictionless level ice. when the hunter pulls the polar bear to him the polar bear will move
3.3 m
a 1 kg ball moving at 2 m/s perpendicular to a wall rebounds from the wall at 1.5 m/s. the change in the momentum of the ball is
3.5N S away from the wall
two bodies A and B have equal kinetic energies. the mass of A is 9x that of B. the rain of the momentum of A to that of B is
3:1
75 kg man is riding in 30 kg cart at 2m/s. he jumps off such a way as to lang on the ground with no horizontal velocity.the resulting change in speed of the cart is
5 m/s
2.5 kg stone is released form rest and falls toward earth. after 4s the magnitude of its momentum is
98 kg * m/s
momentum may be expressed in
N*s
for 2 body collision involving objects with different masses, a frame of reference which has the same velocity relative to the laboratory as does the center of mass of the two objects is
a frame for which the total momentum of the two objects is zero
if the total momentum of a system is changing
a net external force must be acting on the system
the momentum of an object at a given instant is independent of its
acceleration
10 kg block of ice is at rest on frictionless horizontal surface. 1N force is applied in easterly direction for 1 s. during this time interval the block
acquires a momentum of 1 kg*m/s
the center of mass of a uniform disk fo radius R is located
at the center
the center of mass of the system consisting of earth the sun and the planet mars is
closer to the sun than to either of the other bodies
force
equals the time rate of change momentum
object A strikes the stationary object B head-on In an elastic collision, the mass of A is fixed, you may choose mass of B appropriately
for B ot have greatest recoil kinetic energy, choose mb=ma
the thrust of a. rocket is
force fo the exiting fuel gases on the rocket
two objects P and Q, have the same momentum. Q has more kinetic energy that P if it
is moving faster than P
a man sits in the back of a canoe in still water. he then moves to the front of the canoe and sits there. afterwards the canoe
is rearward of its original position and not moving
a projectile in flight explodes into several fragments, the total momentum of the fragments immediately after this explosion
is the same as the momentum of the projectile and immediately before the explosion
the center of mass of a system of particles remains at he same place if
it is initially at rest and the external forces sum to zero
an elastic collision is one in which
kinetic energy and momentum are both conserved
the physical quantity "impulse" has the same dimensions as that of
momentum
an inelastic collision is one which
momentum is conserved by kinetic energy is not conserved
the center of mass of earths atmosphere is
near the center of earth
the center of mass of a system of particles has a constant velocity if
the external forces acting on particles of the system sum to zero
when you step on the accelerator to increase the speed of your car, the force that accelerates the car is
the force of friction of the road on the tires
when a particle suffers a head-on elastic collision with another particle, initially at rest, the greatest fraction of kinetic energy is transferred if
the incident and target particle have the same mass
the law of conservation of momentum applied to a system of colliding objects only if
the net external impulse is zero
sphere X of mass 2 kg is moving to the right at 10 m/s. sphere Y of mass 4 kg is moving to left at 10 m/s. the two coheres collide head on. the magnitude of the impulse of X on Y is
the same as the magnitude of impulse of Y on X
two bodies of unequal mass, placed at rest on a frictionless surface are acted on by equal horizontal forces for equal times. just after these forces are removed, the body of greater mass will have
the same momentum as the other body
a cart loaded with sand slides forward along a horizontal frictionless track. as the cart moves, sand trickles out at a constant rate through a hole in the back of the cart. the acceleration of the cart is
zero