Pietro Maximoff

 

1 (15 points): Pietro Maximoff – better known as Quicksilver – can reach speeds of 400 meters per second and has a mass of 84 kilograms.
A: What is his momentum when he’s traveling at that speed?

 

B: What is his kinetic energy when he’s traveling at that speed?

 

 

C: How much force is required if he starts at rest and it takes him half a second to reach that speed?

 

 

2 (10 points): A solid sphere and a hollow sphere roll down a one-meter ramp inclined at 45°. Both have a mass of 0.75 kilograms and a radius of 7 centimeters. The solid sphere has a moment of inertia of (2MR^2)/5 while the hollow sphere has a moment of inertia of (2MR^2)/3. Both spheres start from rest, travel the same distance, and roll simultaneously. Which one reaches the bottom of the ramp first? Explain your reasoning.

3 (15points): A sixteen-ton weight is suspended seven feet in the air. (16 tons = 14,515 kilograms and 7 feet = 2.1336 meters)

A: What is the weight’s potential energy?

 

 

 

B: How much work was done to raise the weight?

 

 

 

C: If the rope breaks, how fast will the weight be going when it hits the ground?

 

 

4 (20 points): Saturn has a mass of 5.7×〖10〗^27 kilograms and an equatorial radius of 60,268 kilometers. Its rotational period is 10 hours and 42 minutes.
A: What is Saturn’s rotational velocity?

 

B: What is the linear velocity of a point on the surface of Saturn?

 

 

C: Assuming Saturn is a solid, rigid sphere (I=(2MR^2)/5), what is its angular momentum?

 

 

D: What is its rotational kinetic energy?

5 (20 points): A typical regulation curling stone has a mass of 1.860 kilograms and can be no bigger than 914.4 millimeters in diameter. The player who delivers the stone is known as the skip. In a perfect throw, the stone will leave the skip’s hand at about 2 meters per second and slide 28.35 meters across the ice before coming to a complete stop.

A: Typically, the stone will rotate about two and a half times before it stops sliding. What is its angular velocity? (Assume its angular acceleration is zero).

 

 

 

B: How much friction acted on the stone? Is this kinetic friction or static friction?

 

 

 

C: What is the coefficient of friction between the stone and the ice?

 

 

 

D: After about 28.042 meters, the stone collides elastically with an identical stone at rest. What are their velocities immediately after the collision?

 

6 (20 points): The largest trebuchet ever built was called the Warwolf. It was used in the Siege of Stirling Castle in 1304 and it could supposedly hurl a 135 kilogram rock and accurately hit a target some 200 meters away. Assume the rock starts at rest and does not rotate.
A: Assuming the rock was launched at a 40° angle, how fast was it traveling when it was released?

 

B: How much work was done on the rock?

 

 

C: What was the rock’s maximum potential energy?

 

 

D: What was the minimum kinetic energy the rock had while it was in flight?

Sample Solution

proficient and compelling results. John Kotter clarifies that a few powers for change are more noteworthy monetary coordination, development and log jam, innovation, and fall of communist nations and their reorientation toward industrialist economies (Palmer, 2006).

Several change management theories depict the way toward building up an arranged way to deal with the progressions occurred in an association. The principal display is John Kotter’s 8 stages, which was distributed in 1995 in the Harvard Business Review. Initially, setting up the requirement for direness alludes to performing market examination by deciding the issues and openings. The second step, guaranteeing there is a ground-breaking change gathering to direct the change can be performed by making group structures to help drive the change and ensuring the groups have adequate capacity to manage the change. Thirdly, building up a dream can be done by giving concentration to change. At that point, the vision must be conveyed by utilizing different channels to continually impart this vision. The following stage is enabling the staff by evacuating authoritative approaches and structures that restrain the accomplishment of the vision. When this is done, the association must engage the staffs which helps bolster the requirement for change and give inspiration. Merging increases is the seventh step.

Nonetheless, while the Kotter’s 8 stages plot the administration of an authoritative change, the Bridges Transition Model proposes that change won’t be fruitful if progress doesn’t happen. For this situation, progress is characterized as the consummation of something, which is the main stage. The second stage is the nonpartisan zone, which is a confounding state between the old reality and the new. Amid this stage, individuals are not prepared or agreeable to welcome the fresh starts. Much significance must be given amid this stage, on the grounds that the change may be endangered if the association chooses to rashly get away. Although, if the unbiased zone is finished effectively, numerous open doors for innovative change can be exhibited. The last stage is acknowledgment of the fresh starts and distinguishing

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