Answer: 3 m/s
Explanation:
We can solve the problem by using the law of conservation of momentum: during the collision between the two balls, the total momentum of the system before the collision and after the collision must be conserved:
The total momentum before the collision is given only by the cue ball, since the solid ball is initially at rest, therefore
So, the final total momentum will also be
And the total momentum after the collision is given only by the solid ball, since the cue ball is now at rest, therefore:
from which we find the velocity of the solid ball
Answer:
The rays will cross at the focal point.
Explanation:
Rays that are parallel and near the principal axis of a concave mirror converge at the focal point after reflecting from the mirror.
Answer:
4.80 m
Explanation:
We are given the mass of the high jumper, its initial velocity, and the acceleration of gravity. We are trying to find the vertical displacement of the high jumper.
Let's set the upwards direction to be positive and the downwards direction to be negative.
List out the relevant known variables.
- v₀ = 9.7 m/s
- a = -9.8 m/s²
- Δx = ?
We still need one more variable in order to use the constant acceleration equations. Since we are trying to find the max height of the jumper, we can use the fact that at the top of its trajectory, its final velocity will be 0 m/s.
4. v = 0 m/s
Using these four variables, let's find the constant acceleration equation that contains these variables:
Substitute the known values into the equation and solve for Δx.
- (0)² = (9.7)² + 2(-9.8)Δx
- 0 = 94.09 + (-19.6)Δx
- -94.09 = -19.6Δx
- Δx = 4.80
The high jumper can jump to a max height of 4.80 m.
<span>Water is known as the universal solvent because it is capable of dissolving a variety of substances, more than any other liquid.
Hope this helps!</span>