Calculating Block Rise & Rocket Course Change: Help Needed!

AI Thread Summary
To determine how high the block will rise after the bullet embeds in it, the conservation of momentum principle is applied to find the initial velocity of the block-bullet system, followed by using kinematic equations to calculate the height. For the rocket's course change, the problem involves calculating the required mass to be expelled using the rocket equation, factoring in the desired change in velocity and the speed of expelled gases. Participants are encouraged to show their work for better assistance, emphasizing the importance of understanding the kinematic and energy balance equations relevant to these problems. The discussion highlights the need for a solid grasp of physics principles to solve these scenarios effectively. Engaging with the community for help can enhance problem-solving skills in physics.
Elvis
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Please help me .

(1)- A gun is fired vertically into a 1.4 kg block of wood at rest directly above it. If the bullet has a mass of 21 g and a speed of 310 m/s, how high will the block rise into the air after the bullet becomes imbeded in it ?

(2)- A rocket of total mass 3700 kg is traveling in outer space with a velocity of 110 m/s toward the Sun. It wishes to alter its course by 35 degrees, and can do this by firing its rocket briefly in a direction perpendicular to its original motion. If the rocket gases are expelled at a speed of 1900 m/s, how much mass must be expelled ?
 
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Elvis, you must show your own work and attempt at a solution before we can help you with homework/coursework problems (see the "Rules" link at the top of the page).

What are the kinematic equations of motion that you will use to solve these problems? What energy balance equations can also be of help?
 

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