Answer:
The speed and direction of each ball after the collision is 1.27 m/s to East direction and 5.07 m/s to East direction.
Explanation:
given information
m₁ = 0.440 kg
v₁ = 3.80 m/s
m₂ = 0.220 kg
v₂ = 0
collision is perfectly elastic
v₁ - v₂ = - (v₁'- v₂')
v₁ = - (v₁'- v₂')
v₂' = v₁ + v₁'
according to momentum conservation energy
m₁v₁ + m₂v₂ = m₁v₁' + m₂v₂'
m₁v₁ = m₁v₁' + m₂(v₁ + v₁')
m₁v₁ = m₁v₁' + m₂v₁ + m₂v₁'
m₁v₁ - m₂v₁ = m₁v₁' + m₂v₁'
v₁ (m₁ - m₂) = (m₁ + m₂) v₁'
v₁' = (m₁ - m₂)v₁ / (m₁ + m₂)
= (0.440 - 0.220) (3.8) / (0.440 + 0.220)
= 1.27 m/s to East direction
v₂' = v₁ + v₁'
= 3.8 + 1.27
= 5.07 m/s to East direction
Answer:
0.2 J
Explanation:
The pendulum forms a right triangle, with hypotenuse of 50 cm and base of 30 cm. The height of this triangle can be found with Pythagorean theorem:
c² = a² + b²
(50 cm)² = a² + (30 cm)²
a = 40 cm
The height of the triangle is 40 cm. The height of the pendulum when it is at the bottom is 50 cm. So the end of the pendulum is lifted by 10 cm. Assuming the mass is concentrated at the end of the pendulum, the potential energy is:
PE = mgh
PE = (0.200 kg) (9.8 N/kg) (0.10 m)
PE = 0.196 J
Rounding to one significant figure, the potential energy is 0.2 J.
Answer:
1
The ancient Olympic games only allowed people of Greek descent to participate. The Salt Lake City Olympics featured 2600 athletes from 77 countries. Only a few hundred athletes participated in the ancient games.
#2
Only men were allowed to compete in the ancient Greek games. Athletic training in ancient Greece was part of every free male citizen's education. The first women to compete in the Olympics were Marie Ohnier and Mme. Brohy. They participated in croquet games in the 1900 Olympics.
Hi there!
We can begin by deriving the equation for how long the ball takes to reach the bottom of the cliff.
There is NO initial vertical velocity, so:
Rearrange to solve for time:
Plug in the given height and acceleration due to gravity (g ≈ 9.8 m/s²)
Now, use the following for finding the HORIZONTAL distance using its horizontal velocity:
