Section 1
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2 rad/s/s
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Date created
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Cards (130)
Section 1
(50 cards)
2 rad/s/s
A turntable begins to rotate from rest with a constant angular acceleration. If a point on the edge of the turntable travels 9 radians during a 3.0 seconds time period, the angular acceleration of the turn table is
0.1 kg
One end of a light spring with spring constant 10N/m is attached to a vertical support, while a mass is attached to the other end, so the mass hangs. The mass is pulled down and released and exhibits simple harmonic motion with a period of 0.2π. The mass is
π/2 seconds
An enormous pendulum-driven clock, located on Earth, is set into motion by releasing its 10 m long simple pendulum from a maximum angle of less than 10° relative to the vertical. At what approximate time t will the pendulum have fallen to a perfectly vertical orientation?
1.8 m
An 83 kg student hangs from a bungee cord with spring constant 270 N/m. The student is pulled down to a point where the cord is 5.0 m longer than its unstretched length, then released. Where is the student 2 seconds later?
1.84x10^6 m
Suppose a 4600 kg elephant were placed on a see-saw with a 0.025 kg mouse. The elephant is placed 10 meters from the point of rotation. How far from the point of rotation would the mouse need to be placed so that they system exists in a state of static equilibrium?
2.05x10²²N
During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mass of 7.4 × 10²² kg; Earth has a mass of 6.0 × 10²⁴ kg; and the Sun has a mass of 2.0 × 10³⁰ kg. The separation between the Moon and the Earth is given by 3.8 × 10⁸ m; the separation between the Earth and the Sun is given by 1.5 × 10¹¹ m. Calculate the force exerted on Earth by the Moon.
24 kgm^2
Two identical masses (3 kg) are attached to each end of a 4m long massless bar. Calculate the moment of inertia if the masses are rotation around the center of the rod.
100√2 m/s
A rocket ship is sitting on the surface of a planet with a mass of 1x10²⁷ kg and a radius of 6.67x10¹² m. What is the planet's escape velocity?
4700 rot/sec
A rifle is a long gun whose barrel has been grooved or "rifled" on the inside with spiral channels. (For comparison, a long gun with a smooth bore is called a musket.) Bullets fired from a rifled barrel spin. This gives them greater stability in flight and thus greater accuracy when fired. Since 1964, the standard infantry weapon in the US Army has been the .22 caliber M16 rifle. Due to rifling, a bullet fired from an M16 rotates two and a half times on its journey from the breech to the muzzle. Given a barrel length of 510 mm and a muzzle velocity of 950 m/s, determine the final angular velocity.
1.88 m/s
An air-track glider is attached to a spring, pulled 20 cm to the right and released at t=0 s. It makes 15 oscillations in 10 seconds. What is the object's maximum speed?
-3.825 m/s
A 250 gram rubber bullet is fired horizontally at a 900 gram block of wood sitting on a flat surface. The coefficient of kinetic friction between the block of wood and surface is 0.55, and the block slides 80 cm before coming to rest. If the bullet collides elastically with the block, what is its final velocity?
8.3°
A 300 g mass on a 30 cm long string oscillates as a pendulum. It has a speed of 0.25 m/s as it passes through the lowest point. What maximum angle does the pendulum reach?
8 m/s
A 5000 kg rocket is at rest in deep space. The rocket burns fuel, pushing 10 kg of exhaust gases rearward at 4000 m/s. This process takes 10 s. How fast is the rocket going as a result of this process?
2.7x10^7 rad/s/s
A rifle is a long gun whose barrel has been grooved or "rifled" on the inside with spiral channels. (For comparison, a long gun with a smooth bore is called a musket.) Bullets fired from a rifled barrel spin. This gives them greater stability in flight and thus greater accuracy when fired. Since 1964, the standard infantry weapon in the US Army has been the .22 caliber M16 rifle. Due to rifling, a bullet fired from an M16 rotates two and a half times on its journey from the breech to the muzzle. Given a barrel length of 510 mm and a muzzle velocity of 950 m/s, determine the average angular acceleration.
6
You are trying to turn a stubborn bolt with a wrench. To finally get the bolt moving you must apply three times the force and double the length of the wrench handle without changing the angle that the force is applied. Torque was increased by a factor of
1.08x10⁻⁷ N
Two students are sitting 1.50 m apart. One student has a mass of 70.0 kg and the other has a mass of 52.0 kg. What is the gravitational force between them?
6.25 cm
An air-track glider is attached to a spring, pulled 20 cm to the right and released at t=0 s. It makes 15 oscillations in 10 seconds. What is the position at t=0.8 s?
36 kgm/s
A 2 kg ball going 10 m/s follows a path that is perpendicular to the surface of a wall. It impacts the wall and looses 20 % of its momentum in the collision. What is the balls impulse?
2000 N
A 5000 kg rocket is at rest in deep space. The rocket burns fuel pushing 10 kg of exhaust gases rearward at 4000 m/s. This process takes 10 s. During the time interval what average force is applied to the rocket?
72 rad/sec
The rotation of an object is described by the equation θ = 5t^3 + 3t^2 + 4. What is the objects angular velocity at time t = 2 s?
3.56x10²² N
During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mass of 7.4 × 10²² kg; Earth has a mass of 6.0 × 10²⁴ kg; and the Sun has a mass of 2.0 × 10³⁰ kg. The separation between the Moon and the Earth is given by 3.8 × 10⁸ m; the separation between the Earth and the Sun is given by 1.5 × 10¹¹ m. Calculate the force exerted on Earth by the Sun
0.667 s
An air-track glider is attached to a spring, pulled 20 cm to the right and released at t=0 s. It makes 15 oscillations in 10 seconds. What is the period of oscillation?
-1.6 m/s
An 83 kg student hangs from a bungee cord with spring constant 270 N/m. The student is pulled down to a point where the cord is 5.0 m longer than its unstretched length, then released. What is the student's velocity 2 seconds later?
66 rad/s/s
The rotation of an object is described by the equation θ = 5t^3 + 3t^2 + 4. What is the objects angular acceleration at time t = 2 s?
0 kgm/s
A 5000 kg rocket is at rest in deep space. The rocket burns fuel pushing 10 kg of exhaust gases rearward at 4000 m/s. This process takes 10 s. What is the total momentum of the system?
7.67 m/s^2
The ball is like a thin spherical shell and was released from a position 5 m above the ground and rolled down an incline. Calculate the velocity at the bottom of the incline. (I=2/3mr^2)
179 cm/s
An air-track glider is attached to a spring, pulled 20 cm to the right and released at t=0 s. It makes 15 oscillations in 10 seconds. What is the velocity at t=0.8 s?
38.5 kgm/s
A 5.00 kg gun with a 90 cm long barrel fires a 70-gram bullet with a velocity of 550 m/s. What is the impulse on the bullet?
8.8x10^5 m/s/s
A rifle is a long gun whose barrel has been grooved or "rifled" on the inside with spiral channels. (For comparison, a long gun with a smooth bore is called a musket.) Bullets fired from a rifled barrel spin. This gives them greater stability in flight and thus greater accuracy when fired. Since 1964, the standard infantry weapon in the US Army has been the .22 caliber M16 rifle. Due to rifling, a bullet fired from an M16 rotates two and a half times on its journey from the breech to the muzzle. Given a barrel length of 510 mm and a muzzle velocity of 950 m/s, determine the average translational acceleration.
4 m/s/s
A 2 kg weight is attached to the end of a rope coiled around a pulley with mass of 6 kg and radius of 0.1 m. What is the acceleration of the weight?
0.25 sec
The motion of a particle connected to a spring is described by x = 10 sin (πt). At what time is the potential energy equal to the kinetic energy?
1.4 m/s
We see a 15 000 kg railroad car moving along the track at 2.5 m/s. It collides and couples with a stationary 12 500 kg car. What is the new velocity of the two cars?
6.765 m/s
A 250 gram rubber bullet is fired horizontally at a 900 gram block of wood sitting on a flat surface. The coefficient of kinetic friction between the block of wood and surface is 0.55, and the block slides 80 cm before coming to rest. If the bullet collides elastically with the block, what is its initial velocity?
110 N/m
A spring is hanging from the ceiling. You know that if you elongate the spring by 3.0 meters, it will take 330 N of force to hold it at that position: The spring is then hung and a 5.0-kg mass is attached. The system is allowed to reach equilibrium; then displaced an additional 1.5 meters and released. Calculate the spring constant.
3.54x10²² N
During a lunar eclipse, the Moon, Earth, and Sun all lie on the same line, with the Earth between the Moon and the Sun. The Moon has a mass of 7.4 × 10²² kg; Earth has a mass of 6.0 × 10²⁴ kg; and the Sun has a mass of 2.0 × 10³⁰ kg. The separation between the Moon and the Earth is given by 3.8 × 10⁸ m; the separation between the Earth and the Sun is given by 1.5 × 10¹¹ m. Calculate the net force exerted on Earth by the moon and Sun.
25 N/m
A mass of 0.5 kg is hung from two identical springs, of negligible mass. The mass causes each spring to stretch by 0.1 m. What is the approximate spring constant of each spring.
4 π kg·m^2/s
A 1 kg mass is moving in uniform circular motion at a radius of 2 m and frequency 0.5 Hz. What is its angular momentum?
2 hr
A satellite orbiting a planet at a distance of 8x10⁶ m from its center has a period of 16 hours. What would be the period of a satellite orbiting at a distance of 2x10⁶ m above the planet's center?
-7.7 m/s
A 5.00 kg gun with a 90 cm long barrel fires a 70-gram bullet with a velocity of 550 m/s. What is the recoil velocity of the gun?
±0.15 m
A 500 g block on a spring is pulled a distance of 20 cm and released. The subsequent oscillations are measured to have a period of 0.8s. At what position(s) is the block's speed 1.0 m/s?
18 m/s²
A particle moves in a circular motion according to the functions x=Acos(ωt) and y=Asin(ωt), where A=2.0 m and ω=3.0 rad/sec. What is the magnitude of the particles centripetal acceleration?
16 J
For the 2 kg weight attached to 6 kg pulley with radius of 0.10 m, what is the kinetic energy of the weight after dropping for 1 second is a=4 m/s/s. (I=1/2mr^2)
30.7 rad/sec
A turntable capable of angularly accelerating at 12 rad/s^2 needs to be given an initial angular velocity if it is to rotate through a net 400 radians in 6 seconds. What must its initial angular velocity be?
48 kgm^2
Two identical masses (3 kg) are attached to each end of a 4m long massless bar. Calculate the moment of inertia if the masses are rotation around one end of the rod.
2.45 m/s²
A satellite is orbiting the Earth a distance RE above its surface. What is the acceleration due to gravity in this orbit? (RE is the radius of the earth)
8pi kgm^2/s
A long thin rod with moment of inertia I=2 kgm^2 is free to rotate about an axis passing through the midpoint of the rod. The rod begins rotating from rest at time t=0 seconds, accelerating constantly so that it has a rotational velocity of 4pi rad/s after rotating through two complete revolutions. What is the rod's angular momentum at this point?
10 kgm/s
A 5 kg mass undergoes a change in momentum of 10 kg·m/s during a 4 s period of time. What is its impulse?
1 m/s
A 2 kg ball moving at 3 m/s collides with a 4 kg that is stationary. If the collision is perfectly inelastic, what is the speed of the 2 kg ball after the collision?
160 days
Two moons orbit a planet in nearly circular orbits. Moon A has orbital radius r, and moon B has orbital radius 4r. Moon A takes 20 days to complete one orbit. How long does it take moon B to complete an orbit?
2.67 rad/sec
An ice skater begins a spin with his arms out. His angular velocity at the beginning of the spinning is 2.0 rad/s and his moment of inertia is 6 kgm^2. As the spin proceeds he pulls in his arms decreasing his moment of inertia to 4.5 kgm^2. What is the angular velocity after pulling in his arms?
Section 2
(50 cards)
x= 0.75-t+2t^2- 0.083t^4
The acceleration of a body in 1-D motion is given by a = 4 - t^2 where a is in m/s^2 and t is in seconds. If at t=3 seconds, v= 2m/s and x=9 m derive the expression for the position of the body as a function of time.
2.5 m/s
An object has a time dependent position vector given by r(t)=(0.5t^3+t^2j ) m. Determine the speed of the object at t=1 s.
19 m
The position of an object moving along a straight line is given by x = 3 - (2t)^2+ (3t)^3 where x is in meters and t in seconds. Find the position of the object at t=2.
2.9 m/s, 2.3 m/s
A ball with a mass of 230 g rolls to the right with a speed of 1.7 m/s. It collides elastically with a second ball that has a mass of 180 g and rolls to the left at 3.5 m/s. Give the velocities of both balls after the collision.
12 m/s
An 8.00 kg mass moving east at 15.0 m/s strikes a 10.0 kg mass that is at rest. The 8.00 kg mass ends up going south at 4.00 m/s. What is the velocity of the second ball?
163 m
The position of an object moving along a straight line is given by x = 3 - (2t)^2+ (3t)^3 where x is in meters and t in seconds. Find the position of the object at t=4.
3.9 m/s
A car has a mass of 1620 kg and travels at an angle of 300° with a speed of 18 m/s. It undergoes an inelastic collision with a truck that has a mass of 2110 kg that is traveling with a speed of 13 m/s and a direction of 90°. Give the velocity of the two vehicles after the collision.
3 m
The position of an object moving along a straight line is given by x = 3 - (2t)^2+ (3t)^3 where x is in meters and t in seconds. Find the position of the object at t=0.
-0.43 m/s
2 mud balls collide in a perfectly inelastic collision. One has a mass of 4.0 kg, the second has a mass of 3.5 kg. The first one has an initial velocity of 3.4 m/s, the second has an initial velocity of - 4.8 m/s. What is their velocity after the collision?
6 N
The coefficient of static and kinetic frictions between a 3.0-kg box and a desk are 0.40 and 0.30, respectively. What is the net force on the box when a 15-N horizontal force is applied to the box?
144 m
The position of an object moving along a straight line is given by x = 3 - (2t)^2+ (3t)^3 where x is in meters and t in seconds. Find the displacement of the object between 2 and 4 sec.
14.28 m/s
A 1000kg car, traveling east at 30.0m/s, collides with a 3000kg truck, traveling north. After the collision, the vehicles stick together and the combined wreckage moves at 55.0◦ north of east. What is the speed of the truck before the collision?
a=3t^2+8t
A body is moving along a straight line according to the relation v=t^3+4t^2+2 If x = 4 m when t = 2s, find the acceleration of the body at any time t.
-0.29m/s
A cart has a mass of 250g and is traveling along a track to the right with a speed of 1.24 m/s. It has an inelastic collision with a second cart. The second cart has a mass of 750g as is initially traveling along the track to the left with a speed of 0.80 m/s. Calculate the final velocity of the two carts.
-0.10 m/s, 3.90 m/s
A ball with a mass of 350 g rolls to the right with a speed of 2.3 m/s. It collides elastically with a second ball that has a mass of 150 g and rolls to the left at 1.7 m/s. Give the velocities of both balls after the collision.
v= -1+4t+(t^3)/3
The acceleration of a body in 1-D motion is given by a = 4 - t^2 where a is in m/s^2 and t is in seconds. If at t=3 seconds, v= 2m/s and x=9 m derive the expression for the velocity of the body as a function of time.
72 m/s
The position of an object moving along a straight line is given by x = 3 - (2t)^2+ (3t)^3 where x is in meters and t in seconds. Find the average velocity between 2 and 4 seconds.
2400 N
A golf club hits a golf ball with a force of 2400 N. The golf ball hits the club with a force
3.66 m/s
A 1.20 kg red ball moving to the right at 17.1m/s strikes a stationary 2.31 kg blue ball. If the final velocity of the red ball is 13.5m/s at 23.0° above the horizontal, determine the final velocity of the blue ball.
contact (force)
involve contact between bodies normal, friction
10 m
The position of a body moving along a straight line is given by x = 16t - 6t^2 where x is in meters and t in seconds. Find the position at 1 second.
4 m/s
A 2.0 kg block is sliding on a smooth table top. It has a totally inelastic collision with a 3.0 kg block that is at rest. Both blocks, now moving, hit the spring and compress it. Once the blocks come to rest, the spring restores itself and launches the blocks. They slide off the right side of the table. The spring constant is 775 N/m. Find the velocity of the two blocks after the collision.
10.6 m
The position of a body moving along a straight line is given by x = 16t - 6t^2 where x is in meters and t in seconds. At what position will the body be at rest?
205 m/s
he position of an object moving along a straight line is given by x = 3 - (2t)^2+ (3t)^3 where x is in meters and t in seconds. Find the instantaneous velocity at 5 seconds.
dynamic
moving equilibrium
3.2 m
A .30-30 rifle cartridge shoots a bullet with a mass of 9.7g at a speed of 730 m/s. The bullet is fired into a 1.23kg block of wood that is sitting on top of a fence post that is 1.58 meters tall. How far from the base of the fence post will the block of wood (with a bullet inside of it) hit the ground?
1.33 sec
The position of a body moving along a straight line is given by x = 16t - 6t^2 where x is in meters and t in seconds. At what time will the body be at rest?
39.7 m/s
During a rally before a PNH/PCH football game, a loyal Vikings physics student fires a tattered Colts doll from a hovering helicopter vertically downward onto the very hard cement with her newly designed cannon. She knows that the doll leaves the cannon with speed 20 m/s and the helicopter is hovering 60 meters above the quad. What's the velocity of the Colts doll just before hitting the cement?
newton's second law
F=ma
4 m/s
The position of a body moving along a straight line is given by x = 16t - 6t^2 where x is in meters and t in seconds. Calculate the average velocity of the body between 0 and 2 seconds.
2.6 m/s, 5.2 m/s
Two objects slide over a frictionless horizontal surface. The first object, mass m=5 kg is propelled with speed 4.5 m/s toward the second object, mass 2.5 kg, which is initially at rest. After the collision, both objects have velocities which are directed 30 degrees on either side of the original line of motion of the first object. What are the final speeds of the two objects?
250 m/s/s
Guido, the man about town, jumps into his rocket-powered sled, dons his helmet, buckles up, and ignites his engines. The sled accelerates uniformly in a straight line from rest to a velocity of 450 m/s (about 1000 mph) in 1.8 seconds. What was Guido's acceleration?
newton's first law
a body in motion stays in motion unless acted upon by an external force horizontal component of velocity
1.1 m/s, 2.2 m/s
A ball with a mass of 270 grams is moving at 2.5 m/s when it collides elastically with a second ball of identical mass that is initially at rest. After the collision, the first ball is moving at an angle of 63° above the horizontal, the ball initially at rest moves 27° below the horizontal. Give the velocities of both balls after the collision.
9.6 m/s
A car has a mass of 1350 kg and travels at an angle of 30° with a speed of 15 m/s. It undergoes an inelastic collision with a truck that has a mass of 2540 kg that is traveling with a speed of 21 m/s and a direction of 180°. Give the velocity of the two vehicles after the collision.
static
equilibrium at rest
20 s
An object moves in a circle of radius 3 m at a constant speed, completing 3 revolutions every minute. At t = 0, it is at point P and is moving counter-clockwise. Find its period T in seconds.
0.5 s
The acceleration of a body moving along a straight line is given by a = 6t - 3 where a is in m/s2 and t is in seconds. At t = 0, the position of the body is xo and its velocity is vo. When is the acceleration of the body zero?
3.45 m/s
Each puck has a mass 0.1 kg. Initially, puck A moved at 5 m.s in the x-direction, puck B was at rest. Afterwards, puck ! moves at 2 m/s at an angle of 30 degrees from the x-axis. What is the speed of puck B after the collision?
v= vo+3t^2-3t
The acceleration of a body moving along a straight line is given by a = 6t - 3 where a is in m/s2 and t is in seconds. At t = 0, the position of the body is xo and its velocity is vo. Derive the expression for the velocity of the body at any time in terms of vo and t.
6.3 m/s/s
An object has a time dependent position vector given by r(t)=(0.5t^3+t^2j ) m. Determine the magnitude of the acceleration of the object at t=2 s
160 m
The position of an object moving along a straight line is given by x = 3 - (2t)^2+ (3t)^3 where x is in meters and t in seconds. Find the displacement of the object between 0 and 4 sec.
force
- push or pull - unbalanced: cause an object to accelerate - vector
equilibrium
net force on a body is zero
x=(t^4)/4+(4t^3)/3+2t-14.67
A body is moving along a straight line according to the relation v=t^3+4t^2+2 If x = 4 m when t = 2s, find the position of the body at any time t.
inertia
resistance of an object to being accelerated
field (force)
act without necessity of contact gravity
mass
same as inertia
-2.7 m/s
A 23 kg girl is standing on a low friction 2.0 kg cart. She is at rest. She then throws a heavy 8.9 kg rock, giving it a speed of 7.5 m/s. What is the final speed of the girl/cart system?
6 m/s
Airlifted medical supplies in a box are dropped from a helicopter. The mass of the box is 2.0 kg. The face of the box closest to the ground measures 1 m x 0.75 m. The density of the air, ρ, is approximately 1.3 kg/m 3 and the drag coefficient of the box, C D is 1.1. Which of the following is the best estimate of the terminal speed of the box?
Section 3
(30 cards)