The tension in the string and the acceleration must be equal for both masses. (See the free body diagrams)
Answer:
horizontal distance left of the loop should you launch is 7.1m
Explanation:
See attached file
Answer:
Explanation:
Because of the following ,it is useful to select both objects as the system during collision between an electron and a hydrogen atom
1. The total momentum of the system does not change during the collision.
2.The forces the objects exert on each other are internal to the system and don't change the total momentum of the system.
3. During the time interval just before to just after the collision, external forces are negligible.
The emerging velocity of the bullet is <u>71 m/s.</u>
The bullet of mass <em>m</em> moving with a velocity <em>u</em> has kinetic energy. When it pierces the block of wood, the block exerts a force of friction on the bullet. As the bullet passes through the block, work is done against the resistive forces exerted on the bullet by the block. This results in the reduction of the bullet's kinetic energy. The bullet has a speed <em>v</em> when it emerges from the block.
If the block exerts a resistive force <em>F</em> on the bullet and the thickness of the block is <em>x</em> then, the work done by the resistive force is given by,

This is equal to the change in the bullet's kinetic energy.

If the thickness of the block is reduced by one-half, the bullet emerges out with a velocity v<em>₁.</em>
Assuming the same resistive forces to act on the bullet,

Divide equation (2) by equation (1) and simplify for v<em>₁.</em>

Thus the speed of the bullet is 71 m/s