Answer:
answers the correct one is C
Explanation:
For this exercise we must use the projectile launch ratios
the expressions for the initial velocities are
sin θ =v_{oy} / vo
cos θ = v₀ₓ / vo
v_{oy} = v₀ sin θ
v₀ₓ = v₀ cos θ
Range and flight time are requested
the expression for the scope is
R = 
We calculate for each angle
θ = 45º
R₄₅ = \frac{ v_{o}^2 \ sin 90}{g}
R₄₅ = v₀² / g
θ = 60º
R₆₀ = \frac{ v_{o}^2 \ sin 120}{g}
sin 120 = sin 60
R₆₀60 = sin 60 R₄₅
as the sine function has values between 0 and 1, the range for this angle is less
Flight time is twice the time it takes to reach maximum altitude
v_y = v_{oy} - gt
at the point of maximum height there is no vertical velocity vy = 0
t = v_{oy} / g
t = v₀ sin θ / g
θ=45º angle
t₄₅ = sin 45 v₀/g
t₄₅ = 0.707 v₀/g
θ=60º angle
t₆₀ = sin 60 v₀/ g
t₆₀ = 0.86 v₀/g
the answer for this part is
R₄₅ > R₆₀
t₄₅ < t₆₀
when reviewing the different answers the correct one is C
Answer : the box will move backwards with a force 10 N
Explanation :
F1 = 20 N
F2 = 30 N
F = F2 - F1 = 30 - 20 = 10 N
The gravitational force of two objects, by definition, is given by:
Where,
G: gravitational constant
m1: mass of object number 1.
m2: mass of object number 2.
d: distance between both objects.
Therefore, according to the given equation, a change that always results in an increase in gravitational force is:
Increase in the mass of the objects and decrease in the distance between them.
Answer:
A change that will always result in an increase in the gravitational force between two objects is:
Increase in the mass of the objects and decrease in the distance between them.
Answer:
a. 86.80 m
b. i. The mass of the bob
ii. The length of the pendulum
Explanation:
a. Determine the height of the smokestack.
Using T = 2π√(L/g) where T = period of pendulum = 18.7 s, L = length of pendulum = height of smokestack and g = acceleration due to gravity = 9.8 m/s².
So, making L subject of the formula, we have
T = 2π√(L/g)
T/2π = √(L/g)
squaring both sides, we have
(T/2π)² = L/g
L = (T/2π)²g
Substituting the values of the variables into the equation, we have
L = (T/2π)²g
L = (18.7 s/2π)²(9.8 m/s²)
L = (2.976 s)²(9.8 m/s²)
L = 8.857 s² × 9.8 m/s²
L = 86.796 m
L ≅ 86.80 m
b. What factors influence the period of a simple pendulum
The factors that influence the period of a simple pendulum are
i. The mass of the bob
ii. The length of the pendulum
Answer:
0.68 s
Explanation:
We are given that
Initial velocity of box=
Final velocity of box=v=11.5 m/s
Distance=d=8.5 m
We have to find the time taken by box to slow by this amount.
We know that
Substitute the values
We know that
Acceleration=
Substitute the values
Hence, the time taken by box to slow by this amount=0.68 s
