Answer:
-1.17 m/s²
Explanation:
Given:
v₀ = 20 mph = 8.94 m/s
v = 0 m/s
t = 7.63 s
Find: a
v = at + v₀
0 m/s = a (7.63 s) + 8.94 m/s
a = -1.17 m/s²
Answer:
<em>She raised approximately 4 meters as she crosses the bar</em>
Explanation:
<u>Energy Conservation</u>
In the absence of air resistance and any other energy-absorbing events, the total mechanical energy is conserved. Recall the mechanical energy is the sum of the gravitational potential energy and the kinetic energy:
When our athlete is at the ground level her height is 0, thus she has only kinetic energy given by the speed she's at when starting the jump:
Later when she's directly above the bar, she has both energies since some speed remains at a certain height h we must calculate. The mechanical energy is
Equating both energies
Simplifying by m and rearranging
Solving for h
She raised approximately 4 meters as she crosses the bar
Answer:
When a capacitor is fully charged, no current flows in the circuit. This is because the potential difference across the capacitor is equal to the voltage source. (i.e), the charging current drops to zero, such that capacitor voltage = source voltage.
Explanation:
Hope this helps
Answer:
Aim: To investigate which material of pot will cook food quicker.
Hypothesis: The (aluminum/enamel) pots will cook the food quicker than the (aluminum/enamel) pots.
Apparatus:
- Aluminum pots
- Enamel pots
- Stove top
Variables:
Independent variable (What will be changed) - Material of pot
Dependent variable (What's being measured) - Time taken for food to cook
Controlled variables (What's staying the same) - Size of pot, type of food being cooked, quantity of food being cooked, stove top
Method:
- Place aluminum pot on stove top and turn on stove top
- Cook your chosen food in the pot
- Record time taken for food to cook
- Repeat steps 1-3 another 2 times
- Place enamel pot on stove top and turn on stove top
- Cook chosen food in the pot
- Record time taken to cook
- Repeat steps 5-7 another 2 times
Results: (I don't have results because i never conducted this experiment)
Conclusion: This experiment showed that (aluminum/enamel) pots cooked the food quicker than (aluminum/enamel pots). These results (supported/rejected) my hypothesis.
Evaluation: (Never did the experiment, so there's nothing to evaluate)
Explanation:
I hope this helps :)
Answer:
x₁ = 0.62 m
Explanation:
In this exercise the force is electric, given by Coulomb's law
F =
This force is a vector, since the three charges are in a line we can reduce the vector sum to a scalar sum.
For the sense of force let us use that charges of the same sign repel and charges of the opposite sign attract.
∑ F = F₁₂ - F₂₃
They ask us to find the point where the summaries of the force is zero.
F₁₂ - F₂₃ = 0
F₁₂ = F₂₃
let's fix a reference system located in the first charge (more to the left), the distance between the two charges is d = 1.5 m and x is the distance to the location of the second sphere
k q₁q₂ / x² = k q₂q₃ / (d-x) ²
q₁ (d-x) ² = q₃ x²
let's solve
d² - 2 x d + x² = x²
x² (1 - ) - 2x d + d² = 0
we substitute the values
x² (1- 4/2) - 2 1.5 x + 1.5² = 0
x² (-1) - 3.0 x + 2.25 = 0
x² + 3 x - 2.25 = 0
let's solve the quadratic equation
x = [-3 ± ] / 2
x = [-3 ± 4.24] / 2
x₁ = 0.62 m
x₂ = 3.62 m
since it indicates that the charge q₂ e places between the spheres, the correct solution is
x₁ = 0.62 m