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Q.36

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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics
Found in: Page 200

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Short Answer

A rocket-powered hockey puck has a thrust of and a total mass of . It is released from rest on a frictionless table, from the edge of a drop. The front of the rocket is pointed directly toward the edge. How far does the puck land from the base of the table?

The puck will land away from the edge of the table.

See the step by step solution

Step by Step Solution

Step 1: Given Information 

The mass of the puck is , the thrust of the puck is , the distance traveled on friction less table is , and the height of the table is , the acceleration due to gravity is .

We have to calculate the landing distance of the puck from the edge of the table.

Step 2: Explanation

The thrust of gives acceleration to mass of puck:

Now puck is accelerated with distance of .

The velocity of puck when it is at edge, using third equation of motion:

is the velocity at any time

is the initial velocity

is the acceleration

is the distance travelled

Step 3: Applying second equation of motion

At the edge, puck with horizontal motion starts vertical motion of falling downward with gravitational acceleration.

Using the second equation of motion:

where,

As puck is accelerated horizontally still with , it goes distance in the time , as it has horizontal velocity at the edge

Applying second equation of motion again:

So puck only goes away from base of the table

Step 4: Final Answer 

The puck only goes away from the edge of the table

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