Question

1. A loaded gun is dropped on a frozen lake. The gun fires, with the bullet going horizontally in one direction and the gun sliding on the ice in the other direction. The bullet's mass is 0.04 kg, and its speed is 305 m/s. If the gun's mass is 1.8 kg, what is its speed (in m/s)?

______m/s

2. A 37 kg child uses a pogo stick to bounce up and down. The
spring constant, *k*, of the toy equals 8,850 N/m.

(a)By how much would the spring be compressed by the child if she simply balanced herself vertically on the pedals of the stick? (Give your answer in cm.)

_______ cm

_______(b)How much energy (in J) is stored in the spring under this circumstance?

_______ J

3.A 8,900-kg truck runs into the rear of a 1,000-kg car that was
stationary. The truck and car are locked together after the
collision and move with speed 5 m/s. Compute how much kinetic
energy was "lost" in this inelastic collision.

________________J

5.A spring is stretched by an initial amount from its relaxed state. If the spring is then stretched by three times that amount from its relaxed state, by what factor does the amount of mechanical energy stored in the spring change?

PE_{final} |

PE_{initial} |

6.A sprinter with a mass of 83 kg reaches a speed of 8 m/s during a race. Find the sprinter's linear momentum (in kg · m/s). (Enter the magnitude.)

_________ kg · m/s

Answer #1

2. A nerf gun is loaded with a spring. The spring has a spring
constant of 400 N/m and the “ammunition” is a foam dart with a mass
of 0.2kg. When loaded, the spring is compressed 0.05m. (Ignore any
air resistance.)
a) How much elastic potential energy does the foam dart have
when the spring is compressed and the nerf gun is fully loaded?
b) How much kinetic energy does the foam dart have when the
spring is compressed and...

A 1000 kg car moves in a straight line toward a stationary truck
with a speed of 10 m/s. The truck has a mass of 2200
kg. If the car and truck stick together as a result of
the collision, what is the speed of both the car and truck after
the collision?
a. 6 to 8 m/s
b. 4 to 6 m/s
c. 0 to 2 m/s
d.2 to 4 m/s

Mickey, a daredevil mouse of mass 0.0223 kg, is attempting to
become the world's first "mouse cannonball." He is loaded into a
spring‑powered gun pointing up at some angle and is shot into the
air. The gun's spring has a force constant of 77.7 N/m and is
initially compressed a distance of 0.121 m from its relaxed
position.
If Mickey has a constant horizontal speed of 2.49 m/s while he
is flying through the air, how high ℎ above his...

A pellet gun fires into a stationary block of wood that is
attached to a spring on a frictionless surface. When the bullet
enters the wood, it remains inside, and the bullet and the block
enter into simple harmonic motion with amplitude = 11.0 cm. The
bullet (m = 5 grams) was initially traveling at 650 m/s before
hitting the block of wood (m = 2.5 kg).
a) What is the spring constant of the spring?
b) What is the...

A large truck (mass 2,589 kg and speed 8.1 m/s) and a small car
(mass 1,166 kg and speed 23.8 m/s) going in opposite directions
collide head on. After the collision the two vehicles stick
together. Calculate their speed immediately after the
collision.

A 1,270-kg car traveling initially with a speed of 25.0 m/s in
an easterly direction crashes into the rear end of a 8,600-kg truck
moving in the same direction at 20.0 m/s (see figure below). The
velocity of the car right after the collision is 18.0 m/s to the
east.
(a) What is the velocity of the truck right after the
collision?
m/s (east)
(b) How much mechanical energy is lost in the collision?
J
Account for this loss in...

A rifle bullet with mass 15.0 g strikes and embeds itself in a
block of mass 1.500 kg that rests on a frictionless, horizontal
surface and is attached to a coil spring. The spring was relaxed at
the beginning. The spring constant is 550 N/m. The initial velocity
of the bullet was 700 m/s. The impact compresses the spring by x
(see figure below). 1) Find the magnitude of the block's velocity
(with the bullet stuck inside) after the impact...

A 1 150.0 kg car traveling initially with a speed of 25.000 m/s
in an easterly direction crashes into the back of a 8 000.0 kg
truck moving in the same direction at 20.000 m/s. The velocity of
the car right after the collision is 18.000 m/s to the east.
(a) What is the velocity of the truck right after the collision?
(Give your answer to five significant figures.) m/s east
(b) What is the change in mechanical energy of...

1. A 1000.0 kg car is moving at 20 km/h. If a 2000.0 kg truck
has 25 times the kinetic energy of the car, how fast is the truck
moving? 2. A car of mass 1005 kg collides head-on with a parked
truck of mass 2010 kg. Spring mounted bumpers ensure that the
collision is essentially elastic. If the velocity of the truck is
15 km/h (in the same direction as the car's initial velocity) after
the collision, what was...

An 1100-kg truck is stopped at a traffic light, when a 950-kg
car going at 24.0 m/s rear-ends it. If the two vehicles stick
together and move in the same direction the car had been going,
find: (a) the speed of the combined wreck just aftedre the
collision, (b) the amount of kinetic energy lost in the
collision.

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