Question

While leaning out a window that is 5.7 m above the ground, you drop a 0.60 kg basketball to a friend at ground level. Your friend catches the ball at a height of 1.2 m above the ground. Determine the following.

(a)

the amount of work done (in J) by the force of gravity on the ball

J

(b)

the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is released

J

(c)

the gravitational potential energy (in J) of the ball-earth system, relative to the ground when it is caught

J

(d)

the ratio of the change (*PE*_{f} −
*PE*_{0}) in the gravitational potential energy of
the ball-earth system to the work done on the ball by the force of
gravity

ΔPE |

W |

=

Answer #1

While leaning out a window that is 6.1 m above the ground, you
drop a 0.60 kg basketball to a friend at ground level. Your friend
catches the ball at a height of 1.3 m above the ground. Determine
the following.
(a)
the amount of work done (in J) by the force of gravity on the
ball
( ) J
(b)
the gravitational potential energy (in J) of the ball-earth
system, relative to the ground when it is released
(...

Part 1
While leaning out a window that is 6.5 m above the ground, you
drop a 0.60 kg basketball to a friend at ground level. Your friend
catches the ball at a height of 1.2 m above the ground. Determine
the following.
(a)
the amount of work done (in J) by the force of gravity on the
ball
___________ J
(b)
the gravitational potential energy (in J) of the ball-earth
system, relative to the ground when it is released...

A 0.513-kg basketball is dropped out of a window that is 5.29 m
above the ground. The ball is caught by a person whose hands are
2.06 m above the ground. (a) How much work is done on the ball by
its weight? What is the gravitational potential energy of the
basketball, relative to the ground, when it is (b) released and (c)
caught? (d) What is the change (PEf - PE0) in the ball's
gravitational potential energy?

A 57.8-kg skateboarder starts out with a speed of 1.98 m/s. He
does 82.3 J of work on himself by pushing with his feet against the
ground. In addition, friction does -232 J of work on him. In both
cases, the forces doing the work are non-conservative. The final
speed of the skateboarder is 8.47 m/s. (a) Calculate the change
(PEf - PE0) in the gravitational potential energy. (b) How much has
the vertical height of the skater changed? Give...

A 51.8-kg skateboarder starts out with a speed of 2.28 m/s. He
does 105 J of work on himself by pushing with his feet against the
ground. In addition, friction does -251 J of work on him. In both
cases, the forces doing the work are non-conservative. The final
speed of the skateboarder is 6.36 m/s. (a) Calculate the change
(PEf - PE0) in the gravitational potential energy. (b) How much has
the vertical height of the skater changed? Give...

A 61.5-kg skateboarder starts out with a speed of 1.71 m/s. He
does 105 J of work on himself by pushing with his feet against the
ground. In addition, friction does -298 J of work on him. In both
cases, the forces doing the work are non-conservative. The final
speed of the skateboarder is 5.93 m/s. (a) Calculate the change
(PEf - PE0) in the gravitational potential energy. (b) How much has
the vertical height of the skater changed? Give...

A 63.3-kg skateboarder starts out with a speed of 1.67 m/s. He
does 81.1 J of work on himself by pushing with his feet against the
ground. In addition, friction does -280 J of work on him. In both
cases, the forces doing the work are non-conservative. The final
speed of the skateboarder is 6.37 m/s. (a) Calculate the change
(PEf - PE0) in the gravitational potential energy. (b) How much has
the vertical height of the skater changed? Give...

A ball is thrown vertically upward from a window that is 3.6 m
above the ground. The ball's initial speed is 2.8 m/s and the
acceleration due to gravity is 9.8 m/s^2.
a) What is the ball's speed when it hits the ground?
b) How long after the first ball is thrown should a second ball
be simply dropped from the same window so that both balls hit the
ground at the same time?

You drop a 2.7 kg book to a friend who stands on the ground at
distance D = 11 m below. If your friend’s outstretched hands are at
distance d = 1.5 m above the ground (see the figure). If the
gravitational potential energy U of the book–Earth system is taken
to be zero at ground level, what is U when it reaches her
hands?
**Consider all base units SI** **Do not use exponential
numbers**

1. You throw a ball from the top of a 50 m high building at 12
m/s straight upward. The ball misses the building on the way down.
The mass of the ball is 2 kg.
Using energy considerations, how high does the ball go?
Using energy considerations, what is the magnitude of the
velocity just as it strikes the ground?
What is the work done by the force of gravity on the ball while
the ball is traveling upward?...

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