(Please show the steps to the solutions, and draw a diagram if you can)
1) In a linear motion, velocity changes with time as 
Find
distance and displacement for the time interval from 1.5 s
to 5 s.
2) A projectile is launched from the edge of 50 m high
vertical cliff at an angle of 
above horizontal.
The projectile hits the ground at a distance of 150 m from the
bottom of the cliff. FInd the initial and final velocities of the
projectile (magnitude and direction) as well as the total
displacement performed by the projectile.
3) A bullet of mass m and speed
v passes completely straight through a
pendulum 'bob' of mass M suspended by a
string of length l. The bullet emerges
from the 'bob' with a speed of 
2. Find the
minimum value of v such that the pendulum
'bob' will barely swing through a complete vertical circle.
Homework Answers
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(Please show the steps to the solutions, and draw a diagram
if you can)
1) In...
8. A bullet of mass m and speed v passes completely through a pendulum bob of...
8. A bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length 1 and negligible mass. Use conservation of energy and momentum to find the minimum value of v such that the bob will barely swing through a complete vertical circle.
As shown below, a bullet of mass m and speed v passes completely through a pendulum...
As shown below, a bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length and negligible mass. What is the minimum value of v such that the pendulum bob will barely swing through a complete vertical circle? (Use L for , g for gravity, and M and m as appropriate.) v =
can you please help me. A bullet of mass m and speed v is fired at,...
can
you please help me.
A bullet of mass m and speed v is fired at, hits and passes completely through a pendulum bob of mass M on the end of a stiff rod of negligible mass and length L. The bullet emerges with a speed of v/2 and the pendulum bob just makes it over the top of the trajectory without falling backward in its circular path. Determine an expression for the minimum initial speed the bullet must have...
(10 points) As shown below. pendulum bob of mass M. The Suspended by a rod of...
(10 points) As shown below. pendulum bob of mass M. The Suspended by a rod of length Land of such that the pendulum bob will be own below, a bullet of mass and speed w passes completely through a of mass M. The bulleteres with a speed of w/3. The pendulum bob is by a stiff rod of length and ble mass. What is the minimum value at the pendulum bob will barely swing through a complete vertical cine?
A projectile is launched from the edge of a 50 m high vertical cliff at an...
A projectile is launched from the edge of a 50 m high vertical cliff at an angle of 30° above horizontal. The projectile hits the ground at a distance of 150 m from the bottom of the cliff. Find the initial and final velocities of the projectile (magnitude and direction) as well as the total displacement performed by the projectile.
Please show all work. For this question. Also I would like to know if this is...
Please show all work. For this question. Also I would
like to know if this is considered an easy problem.
4 A bulle of mass M. The in the figure below. mass m and speed v strikes and becomes embedded in a pendulum bob pendulum bob is suspended by a massless cord of length l as shown (a) (s points) Is energy conserved during this collision? Is energy conserved efter the collision? (b) (s points) Find the speed of the...
A projectile is launched at an angle 10º below horizontal with initial speed 70 m/s from...
A projectile is launched at an angle 10º below horizontal with initial speed 70 m/s from the edge of a vertical cliff. In a while the projectile hits the ground with speed 120 m/s. Find horizontal distance traveled by the projectile, total displacement and height of the cliff.
A bullet of mass m is shot at speed v toward a pendulum bob of mass...
A bullet of mass m is shot at speed v toward a pendulum bob of mass M. The bullet penetrates through the block and emerges on the other side traveling at speed v/2. 1. What is the speed Vblock of the block immediately after the bullet emerges from the block? Give your answer in terms of m, v, and M Vblock = 2: To what maximum height h does the block rise? Give your answer in terms of m, v,...
In a ballistic pendulum an object of mass is fired with an initial speed at a pendulum bob. The bob has a mass, which...
In a ballistic pendulum, an object of mass m is fired with an initial speed v0 at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and
object stick together and swing to a maximum angular displacement θ as shown.A. Find an expression for v0, the initial speed of the fired object.Express your answer in terms of some or all of the variables m, M, L, and...
Problem 3 A "ballistic pendulum" is a device (now largely obsolete, but very useful in its...
Problem 3 A "ballistic pendulum" is a device (now largely obsolete, but very useful in its day) to measure the speed of a bullet as it hits a target. Let the target be a block of wood suspended from a string, as in the figure below. When the bullet hits, it is embedded in the wood, and together they swing, like a pendulum, to some maximum height h. The question is, how do you find the initial speed of the...
8. A bullet of mass m and speed v passes completely through a pendulum bob of mass M. The bullet emerges with a speed of v/2. The pendulum bob is suspended by a stiff rod of length 1 and negligible mass. Use conservation of energy and momentum to find the minimum value of v such that the bob will barely swing through a complete vertical circle.
can
you please help me.
A bullet of mass m and speed v is fired at, hits and passes completely through a pendulum bob of mass M on the end of a stiff rod of negligible mass and length L. The bullet emerges with a speed of v/2 and the pendulum bob just makes it over the top of the trajectory without falling backward in its circular path. Determine an expression for the minimum initial speed the bullet must have...
(10 points) As shown below. pendulum bob of mass M. The Suspended by a rod of length Land of such that the pendulum bob will be own below, a bullet of mass and speed w passes completely through a of mass M. The bulleteres with a speed of w/3. The pendulum bob is by a stiff rod of length and ble mass. What is the minimum value at the pendulum bob will barely swing through a complete vertical cine?
Please show all work. For this question. Also I would
like to know if this is considered an easy problem.
4 A bulle of mass M. The in the figure below. mass m and speed v strikes and becomes embedded in a pendulum bob pendulum bob is suspended by a massless cord of length l as shown (a) (s points) Is energy conserved during this collision? Is energy conserved efter the collision? (b) (s points) Find the speed of the...
A bullet of mass m is shot at speed v toward a pendulum bob of mass M. The bullet penetrates through the block and emerges on the other side traveling at speed v/2. 1. What is the speed Vblock of the block immediately after the bullet emerges from the block? Give your answer in terms of m, v, and M Vblock = 2: To what maximum height h does the block rise? Give your answer in terms of m, v,...
In a ballistic pendulum, an object of mass m is fired with an initial speed v0 at a pendulum bob. The bob has a mass M, which is suspended by a rod of length L and negligible mass. After the collision, the pendulum and
object stick together and swing to a maximum angular displacement θ as shown.A. Find an expression for v0, the initial speed of the fired object.Express your answer in terms of some or all of the variables m, M, L, and...
Problem 3 A "ballistic pendulum" is a device (now largely obsolete, but very useful in its day) to measure the speed of a bullet as it hits a target. Let the target be a block of wood suspended from a string, as in the figure below. When the bullet hits, it is embedded in the wood, and together they swing, like a pendulum, to some maximum height h. The question is, how do you find the initial speed of the...
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