Pursued by ferocious wolves, you are in a sleigh with no horses, gliding without friction across an ice-covered lake. You take an action described by the equations ( 270 kg ) ( 7.50 m / s ) i ^ = ( 15.0 kg ) ( − v 1 f i ^ ) + ( 255 kg ) ( v 2 f i ^ ) v 1 f + v 2 f = 8.00 m / s (a) Complete the statement of the problem, giving the data and identifying the unknowns. (b) Find the values of v 1 f and v 2 f (c) Find the amount of energy that has been transformed from potential energy stored in your body to kinetic energy of the system.
Pursued by ferocious wolves, you are in a sleigh with no horses, gliding without friction across an ice-covered lake. You take an action described by the equations ( 270 kg ) ( 7.50 m / s ) i ^ = ( 15.0 kg ) ( − v 1 f i ^ ) + ( 255 kg ) ( v 2 f i ^ ) v 1 f + v 2 f = 8.00 m / s (a) Complete the statement of the problem, giving the data and identifying the unknowns. (b) Find the values of v 1 f and v 2 f (c) Find the amount of energy that has been transformed from potential energy stored in your body to kinetic energy of the system.
Solution Summary: The author explains the complete statement of the problem, giving the data and identify the unknowns.
Pursued by ferocious wolves, you are in a sleigh with no horses, gliding without friction across an ice-covered lake. You take an action described by the equations
(
270
kg
)
(
7.50
m
/
s
)
i
^
=
(
15.0
kg
)
(
−
v
1
f
i
^
)
+
(
255
kg
)
(
v
2
f
i
^
)
v
1
f
+
v
2
f
=
8.00
m
/
s
(a) Complete the statement of the problem, giving the data and identifying the unknowns. (b) Find the values of v1f and v2f (c) Find the amount of energy that has been transformed from potential energy stored in your body to kinetic energy of the system.
A 0.500 kg sphere moving with a velocity given by (2.00î – 2.60ĵ + 1.00k) m/s strikes another sphere of mass 1.50 kg moving with an initial velocity of (−1.00î + 2.00ĵ – 3.20k) m/s.
(a) The velocity of the 0.500 kg sphere after the collision is (-0.90î + 3.00ĵ − 8.00k) m/s. Find the final velocity of the 1.50 kg sphere.
R =
m/s
Identify the kind of collision (elastic, inelastic, or perfectly inelastic).
○ elastic
O inelastic
O perfectly inelastic
(b) Now assume the velocity of the 0.500 kg sphere after the collision is (-0.250 + 0.850ĵ - 2.15k) m/s. Find the final velocity of the 1.50 kg sphere.
✓ =
m/s
Identify the kind of collision.
O elastic
O inelastic
O perfectly inelastic
(c) Take the velocity of the 0.500 kg sphere after the collision as (−1.00ỉ + 3.40] + ak) m/s. Find the value of a and the velocity of the 1.50 kg sphere after an elastic collision. (Two values of a are possible, a positive value and a negative value. Report each with their
corresponding final velocities.)
a…
A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 1.31 x 104 N/m, as in the figure below. The cannon fires a 200-kg projectile at a velocity of 136 m/s directed 45.0°
above the horizontal.
45.0°
(a) If the mass of the cannon and its carriage is 5000 kg, find the recoil speed of the cannon.
m/s
(b) Determine the maximum extension of the spring.
m
(c) Find the maximum force the spring exerts on the carriage. (Enter the magnitude of the force.)
N
launch angle.
Passage Problems
Alice (A), Bob (B), and Carrie (C) all start from their dorm and head
for the library for an evening study session. Alice takes a straight path,
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