Answer:
Part a)
Part b)
Explanation:
Let the length of the string is L
so here if the displacement from initial length is "x" then we have
now by energy conservation we have
now we also know that for 5 m length of the chord
so for L length of the chord we have
now from above equation
so by solving above we have
Part b)
Now when string is stretched by maximum amount then the acceleration will be maximum
so it is given as
Answer:
6. 49.2 m/s
7. 9.18 s
8. 184 m
Explanation:
6. Use Pythagorean theorem.
v₀² = v₀ₓ² + v₀ᵧ²
v₀² = (20 m/s)² + (45 m/s)²
v₀ = 49.2 m/s
7. Given:
Δy = 0 m
v₀ᵧ = 45 m/s
aᵧ = -9.8 m/s²
Find: t
Δy = v₀ᵧ t + ½ aᵧt²
(0 m) = (45 m/s) t + ½ (-9.8 m/s²) t²
0 = 45t − 4.9t²
0 = t (45 − 4.9t)
t = 9.18 s
8. Given:
v₀ₓ = 20 m/s
aₓ = 0 m/s²
t = 9.18 s
Find: Δx
Δx = v₀ₓ t + ½ aₓt²
Δx = (20 m/s) (9.18 s) + ½ (0 m/s²) (9.18 s)²
Δx = 184 m
Answer:
F = 5.33 10⁻⁶ N , directed to the left
Explanation:
For this exercise we will use the force addition law where each force is electric given by Coulomb's law
F = ∑ F
F = F₁₃ + F₂₃
where the force is given by
F = k q₁ q₂ / r₁₂²
in our case
F₁₃ = k q₁ q₃ / r₁₃²
F₂₃ = k q₂ q₃ / r₂₃²
F = k q₃ (q₁ / r₁₃² + q₂ / r₂₃²)
as the charges are of the same sign the electric force is repulsive and due to the position of the charges it is directed to the left
let's calculate
F = 9 10⁹ 8 10⁻⁹ (3 10⁻⁹ / (0.26 - 0) 2 + 6 10⁻⁹ / (0.45-0) 2)
F = 72 (44,379 + 29,630) 10⁻⁹
F = 5.33 10⁻⁶ N
directed to the left
It’s 6cm because you are multiplying the numbers and that is the total
Answer:
7.38 × 10-5
Explanation:
All numbers in scientific notation or standard form are written in the form m × 10n, where m is a number between 1 and 10 ( 1 ≤ |m| < 10 ) and the exponent n is a positive or negative integer.
To convert 0.0000738 into scientific notation, follow these steps:
Move the decimal 5 times to the right in the number so that the resulting number, m = 7.38, is greater than or equal to 1 but less than 10
Since we moved the decimal to the right the exponent n is negative
n = -5
Write in the scientific notation form, m × 10n
= 7.38 × 10-5
Therefore, the decimal number 0.0000738 written in scientific notation is 7.38 × 10-5 and it has 3 significant figures.
Answer = 7.38 × 10-5