8. MY NOTES PRACTICE ANOTHER What average mechanical power (in W) must a 76.5 kg mountain climber generate to climb to the summit of a hill of height 285 mi in 41.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body. HINT DETAILS SERCP11 5.7.P.051. W ASK YOUR TEACHER

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Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter5: Energy
Section: Chapter Questions
Problem 4P: a shopper in a supermarket pushes a cart with a force of 35 N directed at an angle of 25 below the...
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8.
9.
MY NOTES ASK YOUR TEACHER
10.
PRACTICE ANOTHER
What average mechanical power (in W) must a 76.5 kg mountain climber generate to climb to the summit of a hill of height 285 m
in 41.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a
fraction of the power that must be produced by the climber's body.
HINT
MY NOTES
DETAILS
HINT
W
SERCP11 5.7.P.051.
DETAILS
MY NOTES
A student evaluates a weight loss program by calculating the number of times he would need to climb a 15.0 m high flight of
steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release 3.77 x 107 J of chemical energy and the
body can convert about 21.4% of this into mechanical energy (the rest goes into internal energy.)
SERCP11 5.A.P.074.
ASK YOUR TEACHER PRACTICE ANOTHER
(a) How much mechanical energy (in J) can the body produce from 0.450 kg of fat?
(b) How many trips up the flight of steps are required for the 52.0 kg student to lose 0.450 kg of fat? Ignore the relatively small
amount of energy required to return down the stairs.
trips
DETAILS
SERCP11 5.A.P.081.
ASK YOUR TEACHER PRACTICE ANOTHER
A truck travels uphill with constant velocity on a highway with a 6.5° slope. A 45-kg package sits on the floor of the back of the
truck and does not slide, due to a static frictional force. During an interval in which the truck travels 325 m, find the following.
(a) What is the net work done on the package?
(b) What is the work done on the package by the force of gravity?
(c) What is the work done on the package by the normal force?
(d) What is the work done on the package by the friction force?
Transcribed Image Text:8. 9. MY NOTES ASK YOUR TEACHER 10. PRACTICE ANOTHER What average mechanical power (in W) must a 76.5 kg mountain climber generate to climb to the summit of a hill of height 285 m in 41.0 min? Note: Due to inefficiencies in converting chemical energy to mechanical energy, the amount calculated here is only a fraction of the power that must be produced by the climber's body. HINT MY NOTES DETAILS HINT W SERCP11 5.7.P.051. DETAILS MY NOTES A student evaluates a weight loss program by calculating the number of times he would need to climb a 15.0 m high flight of steps in order to lose one pound (0.45 kg) of fat. Metabolizing 1.00 kg of fat can release 3.77 x 107 J of chemical energy and the body can convert about 21.4% of this into mechanical energy (the rest goes into internal energy.) SERCP11 5.A.P.074. ASK YOUR TEACHER PRACTICE ANOTHER (a) How much mechanical energy (in J) can the body produce from 0.450 kg of fat? (b) How many trips up the flight of steps are required for the 52.0 kg student to lose 0.450 kg of fat? Ignore the relatively small amount of energy required to return down the stairs. trips DETAILS SERCP11 5.A.P.081. ASK YOUR TEACHER PRACTICE ANOTHER A truck travels uphill with constant velocity on a highway with a 6.5° slope. A 45-kg package sits on the floor of the back of the truck and does not slide, due to a static frictional force. During an interval in which the truck travels 325 m, find the following. (a) What is the net work done on the package? (b) What is the work done on the package by the force of gravity? (c) What is the work done on the package by the normal force? (d) What is the work done on the package by the friction force?
1.
MY NOTES
2.
ASK YOUR TEACHER PRACTICE ANOTHER
A cable exerts a constant upward tension of magnitude 1.94 x 10 N on a 1.60 x 103 kg elevator as it rises through a vertical
distance of 1.90 m.
HINT
(a) Find the work done by the tension force on the elevator (in )).
MY NOTES
4.
(b) Find the work done by the force of gravity on the elevator (in J).
DETAILS SERCP11 5.1.P.003.
HINT
A tension force of 155 N inclined at 35.0° above the horizontal is used to pull a 31.0 kg shipping crate a distance of 4.10 m on a
rough surface. If the crate moves at a constant speed, find (a) the work done by the tension force and (b) the coefficient of
kinetic friction between the crate and surface.
MY NOTES
DETAILS SERCP11 5.1.P.007.
ASK YOUR TEACHER PRACTICE ANOTHER
(a) the work done by the tension force (in J)
(b) the coefficient of kinetic friction between the crate and surface
MY NOTES
DETAILS
SERCP11 5.2.P.011.
ASK YOUR TEACHER
A 66.6 kg runner has a speed of 4.50 m/s at one instant during a long-distance event.
|HINT
(a) What is the runner's kinetic energy at this instant (in J)?
(b) How much net work (in J) is required to triple his speed?
DETAILS
PRACTICE ANOTHER
SERCP115.5.P.026.
ASK YOUR TEACHER
PRACTICE ANOTHER
Truck suspensions often have "helper springs that engage at high loads. One such arrangement is a leaf spring with a helper coil
spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper
spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.90 x 105 N/m, the helper
spring constant is 3.40 x 105 N/m, and y=0.500 m.
Main leaf
spring
Truck body
-"Helper
spring
Axle
Q
(a) What is the compression of the leaf spring for a load of 4.70 x 105 N?
m
(b) How much work is done in compressing the springs?
5.
MY NOTES
6.
7.
HINT
A 25.0 cm long spring is hung vertically from a ceiling and stretches to 29.5 cm when an 8.00 kg mass is hung from its free end.
MY NOTES
DETAILS SERCP11 5.6.P.034.
(a) Find the spring constant (in N/m).
N/m
ASK YOUR TEACHER
(b) Find the length of the spring (in cm) if the 8.00 kg weight is replaced with a 215 N weight.
MY NOTES
cm
DETAILS SERCP11 5.6.P.038.
ASK YOUR TEACHER
Two blocks are connected by a light string that passes over a frictionless pulley as in the figure below. The system is released
from rest while m₂ is on the floor and m, is a distance h above the floor.
=
201
(a) Assuming m, > m₂, find an expression for the speed of m, just as it reaches the floor. (Use any variable or symbol
stated above along with the following as necessary: g.)
(b) Taking m₁ = 6.0 kg, m₂ = 4.3 kg, and h = 3.3 m, evaluate your answer to part (a).
m/s
PRACTICE ANOTHER
(c) Find the speed of each block when m, has fallen a distance of 1.1 m.
m/s
DETAILS
189
T₁
ASK YOUR TEACHER
PRACTICE ANOTHER
T₂
171
The system shown in the figure below is used to lift an object of mass m = 72.0 kg. A constant downward force of magnitude Fis
applied to the loose end of the rope such that the hanging object moves upward at constant speed. Neglecting the masses of the
rope and pulleys, find the following.
SERCP11 5.6.P.043.
(a) Find the required value of F.
N
PRACTICE ANOTHER
(b) Find the tensions T₁ T2 and T3. (T3 indicates the tension in the rope which attaches the pulley to the ceiling.)
T₁
N
T₂
N
T3 =
N
(c) Find the work done by the applied force in raising the object a distance of 2.70 m.
kJ
Transcribed Image Text:1. MY NOTES 2. ASK YOUR TEACHER PRACTICE ANOTHER A cable exerts a constant upward tension of magnitude 1.94 x 10 N on a 1.60 x 103 kg elevator as it rises through a vertical distance of 1.90 m. HINT (a) Find the work done by the tension force on the elevator (in )). MY NOTES 4. (b) Find the work done by the force of gravity on the elevator (in J). DETAILS SERCP11 5.1.P.003. HINT A tension force of 155 N inclined at 35.0° above the horizontal is used to pull a 31.0 kg shipping crate a distance of 4.10 m on a rough surface. If the crate moves at a constant speed, find (a) the work done by the tension force and (b) the coefficient of kinetic friction between the crate and surface. MY NOTES DETAILS SERCP11 5.1.P.007. ASK YOUR TEACHER PRACTICE ANOTHER (a) the work done by the tension force (in J) (b) the coefficient of kinetic friction between the crate and surface MY NOTES DETAILS SERCP11 5.2.P.011. ASK YOUR TEACHER A 66.6 kg runner has a speed of 4.50 m/s at one instant during a long-distance event. |HINT (a) What is the runner's kinetic energy at this instant (in J)? (b) How much net work (in J) is required to triple his speed? DETAILS PRACTICE ANOTHER SERCP115.5.P.026. ASK YOUR TEACHER PRACTICE ANOTHER Truck suspensions often have "helper springs that engage at high loads. One such arrangement is a leaf spring with a helper coil spring mounted on the axle, as shown in the figure below. When the main leaf spring is compressed by distance yo, the helper spring engages and then helps to support any additional load. Suppose the leaf spring constant is 4.90 x 105 N/m, the helper spring constant is 3.40 x 105 N/m, and y=0.500 m. Main leaf spring Truck body -"Helper spring Axle Q (a) What is the compression of the leaf spring for a load of 4.70 x 105 N? m (b) How much work is done in compressing the springs? 5. MY NOTES 6. 7. HINT A 25.0 cm long spring is hung vertically from a ceiling and stretches to 29.5 cm when an 8.00 kg mass is hung from its free end. MY NOTES DETAILS SERCP11 5.6.P.034. (a) Find the spring constant (in N/m). N/m ASK YOUR TEACHER (b) Find the length of the spring (in cm) if the 8.00 kg weight is replaced with a 215 N weight. MY NOTES cm DETAILS SERCP11 5.6.P.038. ASK YOUR TEACHER Two blocks are connected by a light string that passes over a frictionless pulley as in the figure below. The system is released from rest while m₂ is on the floor and m, is a distance h above the floor. = 201 (a) Assuming m, > m₂, find an expression for the speed of m, just as it reaches the floor. (Use any variable or symbol stated above along with the following as necessary: g.) (b) Taking m₁ = 6.0 kg, m₂ = 4.3 kg, and h = 3.3 m, evaluate your answer to part (a). m/s PRACTICE ANOTHER (c) Find the speed of each block when m, has fallen a distance of 1.1 m. m/s DETAILS 189 T₁ ASK YOUR TEACHER PRACTICE ANOTHER T₂ 171 The system shown in the figure below is used to lift an object of mass m = 72.0 kg. A constant downward force of magnitude Fis applied to the loose end of the rope such that the hanging object moves upward at constant speed. Neglecting the masses of the rope and pulleys, find the following. SERCP11 5.6.P.043. (a) Find the required value of F. N PRACTICE ANOTHER (b) Find the tensions T₁ T2 and T3. (T3 indicates the tension in the rope which attaches the pulley to the ceiling.) T₁ N T₂ N T3 = N (c) Find the work done by the applied force in raising the object a distance of 2.70 m. kJ
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