Answer:
2.78 m
Explanation:
At the peak, the velocity is 0.
Given:
a = -1.6 m/s²
v₀ = 2.98 m/s
v = 0 m/s
x₀ = 0 m
Find:
x
v² = v₀² + 2a(x - x₀)
(0 m/s)² = (2.98 m/s)² + 2(-1.6 m/s²) (x - 0 m)
x = 2.775 m
Rounded to 3 sig-figs, the astronaut halloweener reaches a maximum height of 2.78 meters.
Here in nuclear reaction we can say that sum of neutrons and protons in reactant side and product side will be same always
Here mass number on the product side is given to us
so sum of mass number is given as
now on the reactant side also the number must be same
now we will have
Now number of protons on product side is given as
now we also know that atomic number of Fe is 26
so now we will have
now the equation is given as
The broom handle that she have to balance if she hung a 400g mass from the end of the broom handle is 5.24m
This problem is centered on moment. Moment is the turning effect of a force about a point. It is expressed as:
Moment = Force× Distance
According to principle of moment, the sum of clockwise moment is equal to sum of anticlockwise moment at shown
M1d1 = M2d2
Given the following
M1 = 1.5kg
d1 = 1.4m
M2 = 400g = 0.4kg
d2 is required
Substitute
1.5(1.4) = 0.4d2
2.1 = 0.4d2
d2 = 2.1/0.4
d2 = 5.24m
Hence the broom handle that she have to if she hung a 400g mass from the end of the broom handle is 5.24m
Learn more here: brainly.com/question/21945515
A illustrates 2 resistors in a parallel circuit.
Answer:
a) α = 0.338 rad / s² b) θ = 21.9 rev
Explanation:
a) To solve this exercise we will use Newton's second law for rotational movement, that is, torque
τ = I α
fr r = I α
Now we write the translational Newton equation in the radial direction
N- F = 0
N = F
The friction force equation is
fr = μ N
fr = μ F
The moment of inertia of a saying is
I = ½ m r²
Let's replace in the torque equation
(μ F) r = (½ m r²) α
α = 2 μ F / (m r)
α = 2 0.2 24 / (86 0.33)
α = 0.338 rad / s²
b) let's use the relationship of rotational kinematics
w² = w₀² - 2 α θ
0 = w₀² - 2 α θ
θ = w₀² / 2 α
Let's reduce the angular velocity
w₀ = 92 rpm (2π rad / 1 rev) (1 min / 60s) = 9.634 rad / s
θ = 9.634 2 / (2 0.338)
θ = 137.3 rad
Let's reduce radians to revolutions
θ = 137.3 rad (1 rev / 2π rad)
θ = 21.9 rev
