soto (rrs946) – Homework 5 – Spurlock – (41003)
1
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printout
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have
39
questions.
Multiplechoice questions may continue on
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before answering.
001
10.0 points
A plane designed for vertical takeoff has a
mass of 8
.
0
×
10
3
kg.
Find the net work done on the plane as
it accelerates upward at 1.1 m/s
2
through a
distance of 34.7 m after starting from rest.
Answer in units of J.
002 (part 1 of 2) 10.0 points
A force
vector
F
=
F
x
ˆ
ı
+
F
y
ˆ
acts on a particle that
undergoes a displacement of
vectors
=
s
x
ˆ
ı
+
s
y
ˆ
where
F
x
= 3 N,
F
y
=

2 N,
s
x
= 3 m, and
s
y
= 3 m.
Find the work done by the force on the
particle.
Answer in units of J.
003 (part 2 of 2) 10.0 points
Find the angle between
vector
F
and
vectors
.
Answer in units of
◦
.
004
10.0 points
A crate is pulled by a force (parallel to the
incline) up a rough incline. The crate has an
initial speed shown in the figure below. The
crate is pulled a distance of 6
.
91 m on the
incline by a 150 N force.
The acceleration of gravity is 9
.
8 m
/
s
2
.
13 kg
μ
= 0
.
336
150 N
1
.
61 m
/
s
23
◦
What is the change in kinetic energy of the
crate?
Answer in units of J.
005
10.0 points
A projectile of mass 0
.
427 kg is shot from
a cannon, at height 6
.
8 m, as shown in the
figure, with an initial velocity
v
i
having a
horizontal component of 5
.
3 m
/
s.
The projectile rises to a maximum height of
Δ
y
above the end of the cannon’s barrel and
strikes the ground a horizontal distance Δ
x
past the end of the cannon’s barrel.
Δ
x
v
i
53
◦
Δ
y
6
.
8 m
Find the magnitude of the velocity vector
when the projectile hits the ground.
The
acceleration of gravity is 9
.
8 m
/
s
2
.
Answer in units of m
/
s.
006
10.0 points
A 14 g bullet is accelerated in a rifle barrel
33
.
1 cm long to a speed of 447 m
/
s.
Use the workenergy theorem to find the
average force exerted on the bullet while it is
being accelerated.
Answer in units of N.
007
10.0 points
A 2
.
1
×
10
3
kg elevator carries a maximum
load of 841.1 kg.
A constant frictional force
of 4
.
4
×
10
3
N retards the elevator’s motion
upward.
The acceleration of gravity is 9
.
81 m
/
s
2
.
What minimum power must the motor de
liver to lift the fully loaded elevator at a con
stant speed 2.86 m/s?
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 Fall '11
 HOFFMAN
 Force, Potential Energy, Work, Velocity, Soto

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