Download Lesson03 Newtons Second Law Worksheets

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Newton’s Second Law Worksheet #1
A net force of 9.0N east is used to push a 20.0kg object. What is the acceleration of the object?
(0.45m/s2 East)
A net force of 15.0N north is used to pull an object. If the acceleration of the object is 8.0m/s 2
north, what is the mass of the object? (1.9kg)
A 16.0kg object is accelerated at a rate of 2.0m/s2 by a net force. What is the magnitude of this
force? (32N)
A 12.0kg object is accelerated by a net force of 10.2N east. What is the acceleration of the object?
(0.850m/s2 east)
A 925kg car accelerates uniformly from rest to a velocity of 25.0m/s south in 10.0s. What is the
net force acting on the car during this time? (2.31x103N south)
A 1.08x103kg car uniformly accelerates from rest for 12.0s. During this time the car travels 132m
north. What is the net force acting on the car? (1.98x103N north)
A net force of 6.6N east acts on a 9.0kg object. If this object accelerates uniformly from rest to a
velocity of 3.0m/s east. How far did the object travel and how long did it take? (6.1m and 4.1s)
An 11.0kg object is thrown vertically into the air with an applied force of 145N. What is the
initial acceleration of the object? (3.37m/s2)
A 12.0kg object is pushed with a horizontal force of 6.0N East across a table. If the force of
friction is 2.0N, what is the acceleration of the object? (0.33m/s2 East)
A 15.0kg object is thrown vertically into the air. The initial acceleration of the object is 8.80m/s 2,
what is the applied force? (279N)
A 20.0kg object is pulled horizontally along a level floor with a force of 27.0N. If the object is
accelerating at a rate of 0.80m/s2, what is the magnitude of the force of friction? (11N)
An object is pulled west along a horizontal frictionless surface with a steady horizontal force of
12.0N. If the object accelerates from rest to a velocity of 4.0m/s while moving 5.0m, what is the
mass of the object? (7.5kg)
What is the tension in the cable of an 1.20x10 3kg elevator that is
a. Accelerating downward at a rate of 1.05m/s 2? (1.05x104N)
b. Accelerating upward at a rate of 1.05m/s2? (1.31x104N)
c. moving downward at a constant velocity of 1.10m/s? (1.18x104N)
An object that has a mass of 36.0kg is pushed along a horizontal surface with a force of 85.0N. IF
the force of friction is 72.0N, what is the magnitude of the acceleration of the object? (0.361m/s2)
As horizontal force of 90.0N is required to push a 75.0kg along a horizontal surface at a constant
speed. What is the magnitude of the force of friction? (90.0N)
A 1.0kg object is given a push along a horizontal surface. IF the velocity of the object when it is
released is 0.50m/s west, and the object slides 0.25m before coming to a stop, what is the
magnitude of the force of friction? (0.50N)
A 7.0kg object rests on a horizontal frictionless surface. What is the magnitude of the horizontal
force that is required to accelerate it at the rate of 2.3m/s2? (16N)
You are traveling in your car at a velocity of 24.0m/s east when you slam on your brakes. The
force of friction on your car tires is 1.80x104N. IF the mass of you and your car is 1.50x10 3kg,
how far do you skid before stopping? (24.0m)
A 1.0kg box on a horizontal frictionless surface is accelerated by attaching and hanging a 1.5 kg
mass over a pulley. What is the acceleration of the box? (Remember both boxes are accelerated).
(5.9m/s2)
Two masses of 1.5kg and 2.0kg are hung on a vertical frictionless pulley. What is the acceleration
of
a. 1.5kg mass? (1.4m/s2)
b. 2.0kg mass? (-1.4m/s2)
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21. A 725N student stands on a bathroom scale while riding an elevator. The student observes that the
scale reads 775N as the elevator begins to rise. Find the acceleration of the elevator as it begins to
rise. (Remember: the scale reading is the applied force, T.) (0.677m/s2)
22. An 8.0kg object is pulled vertically upward by a rope. If the tension in the rope is constant at 95N,
what is the velocity of the object after 1.1s. (Assume it was initially at rest). (2.3m/s)
23. A 445N box is sliding down a frictionless 25.0º inclined plane. Find the parallel component of the
weight that causes the box to slide (find F//). (188N)
24. A 325N box is sliding down a frictionless inclined plane. If the inclined plane makes an angle of
30.0º with the horizontal, what is the acceleration along the incline? (4.91m/s2)
25. A 435N box is sliding down a 40.0º incline. IF the acceleration of the box is 0.250m/s 2, what is
the force of friction acting on the box? (269N)
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Inclined Planes Worksheet
Remember the force pulling an object down a hill is the
parallel component of gravity (F||) which is calculated by
trigonometry F|| = (sinθ) x Fg.
Fg cos θ
1. A 5.0kg box is sitting on a frictionless ramp that is
inclined 15° from the horizontal. What will the
acceleration of the box be? 2.5m/s2 down
2. A 2000kg truck is sliding down an icy hill that is
Fg
Fg sin θ
inclined 20.0°. The force of friction is 500N.
2
What is the acceleration of the truck? 3.11m/s dh
3. To build the pyramids, slaves pulled giant stone
blocks (5000kg) up long ramps (inclined at 10.0°) at constant velocities. What
force would they need to pull with if the force of friction was 800N? 9317N up
4. A car is being pushed up a hill (9.00°) at a constant velocity with a force of 800N
if friction is opposing with 100N, what is the mass of the car? 456kg
5. A soap box derby racer (m = 65.0kg) is accelerating down a hill at 4.25m/s2.
Friction is opposing with a force of 25.0N. What is the incline of the hill? 28.2°
6. In an episode of the Simpsons, Homer attempted to jump Springfield Gorge on a
skateboard. To do this he was accelerated down a hill (22.0°) by a net force of
460N. If friction opposed his motion with a force of 20.0N, what is Homer’s
mass? 131kg
7. A child is “log rolling” down a hill (10.0°). The child has a mass of 20.0kg and
friction is opposing with a force of 2.5N. What is the acceleration of the child?
1.58m/s2
8. A ski jumper (m = 70kg) is accelerating down a ramp (35.0°). The co-efficient of
friction is .120. What is the acceleration of the jumper? 4.66m/s2
9. Avalanches move at great speed down mountain sides, if the slope is 50.0° and
the mass of the snow is 2.5x103kg, and the acceleration is 6.5m/s2. What is the
force of friction between the snow and the mountain? 2.55x103 N up slope
10. A bike of mass 80kg is rolling down a hill (18.0°) that is 75.0m long. The coefficient of friction on this hill is .300. If the bike starts from rest, how fast will it
be going at the bottom of the hill? 5.91m/s
11. Using the diagram at right to solve the following problem. In a set-up like the one
below, m1 = 2.0kg and m2 = 2.5kg. If the plane
shown below is angled at 30.0° and is frictionless,
what will the acceleration of the mass 1 be?
3.26m/s2 up ramp
12. A truck (m = 3000kg) is traveling downhill at a
constant velocity. Friction of the brakes are
opposing at a force of 1600N. What is the slope of
the hill? 3.11°
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Force as a vector Quantity Worksheet
1. A tow truck is pulling a car behind it. Friction is opposing with a force of 500N.
The mass of the car is 1500kg. IF the cable makes an angle of 45.0° with the road
and has 2000N of tension in it, what is the acceleration of the car? .609m/s2
2. A 90kg dogsled is being pulled by two dogs. Each dog is pulling with a force of
400N, if the force of friction is 300N, what is the acceleration of the sled?
5.55m/s2
3. A sign is hanging from a building by two cables. The sign has a mass of 55.0kg.
Each cable is attached to a wall. Both cables hang at an angle of 35.0° from the
wall. What is the tension in each cable? 329 @ 55° from horizontal
4. A 2.25kg fish is being reeled in by a fisherman. The fishing line is a an angle of
45.0° from the water and friction is opposing the motion with a force of 80.0N.
IF the fish is moving horizontally at a constant speed of 0.85m/s, what is the
tension in the line? 113N @ 45° from horizontal
5. Two workers are pushing a large crate along a level floor. Person 1 pushes with a
force of 300N and person 2 pushes with a force of 250N. Friction opposes with a
force of 175N. If the crate is accelerating at a rate of 1.57m/s2, what is the mass
of the crate? 239kg
6. 2 children are making a snow man and are pushing a snowball into position. One
child pushes with a force of 130N @ 15.0° west of North, and the other pushes
with a force of 110N due west. If there is no friction, what is the acceleration of
the snowball if its mass is 50kg? 3.82m/s2@ 48.8° W of N
7. A curling rock is sliding down a sheet of ice. The mass of the rock is 12.0kg. If
its acceleration is -1.12m/s2, what is the force of friction? 13.4N
8. A truck is pulling a 3000kg trailer, the truck applies a force of 2000N forward and
friction resists with a force of 600N. What is the acceleration of the trailer? .466
9. Two blocks are set up as in the picture at right. If m1 is 6.00kg and
m2 is 4.5kg, and friction opposes with 4.0N of force, what is the
acceleration of m1? 5.2m/s2
10. Two masses, A and B, are hung over a pulley as shown below. If A’s
mass is 10kg and B’s mass is 18kg, what will the
acceleration of mass A be? 2.8m/s2
**11. In the set-up at right, the cart is
accelerating at 2.15m/s2. If the hanging mass
has a mass of 2.0kg, and there is no friction,
what is the mass of the cart? 7.13kg
12. In the setup at right two masses (1.0kg and 1.2kg) are hung over a
pulley. What is the acceleration of the 1.0kg mass? .89m/s2