Answer:
25 N
Explanation:
Use the equation F = m(Vf–Vi) / Δt.
average force = mass (final velocity - initial velocity) / change in time
F = 40 kg(5.0 m/s) / 8.0 s = 200 / 8.0 = 25 kgm / s^2 = 25 Newtons
Answer:
B,C and E are the three agricultural activities that humans perform to minimize their impact on climate change.
The option that describes the relationship between the two confidence intervals is; The width of I₈₁ will be¹/₉ the width of I₉
<h3>How to calculate width of the confidence interval with normal distribution?</h3>
The width of the confidence interval will be calculated from the formula;
W = 2Z(σ/√n)
where;
z is the z-score at given confidence level
σ is standard deviation
n is sample size
For first sample;
W_i9 = 2Z(σ/√9)
W_i9 = ²/₃Zσ
For second Sample;
W_i81 = 2Z(σ/√81)
W_i81 = ²/₉Zσ
Thus, we will have;
W_i9/W_i81 = (²/₃Zσ)/(²/₉Zσ)
W_i9/W_i81 = 9
W_i81 = ¹/₉W_i9
Read more about width of confidence interval at; brainly.com/question/15934877
The ball’s speed and direction at the lowest point of trajectory are; 3.1 m/s and swing to the same angle on the other side
<h3>What is the speed at the lowest point?</h3>
We will assume that all of the motion will transfer to Kinetic Energy at the lowest point. Now, the difference in height will be;
Δh = (130 – 130*cos °5) = 0.49 cm
The change in PE is;
ΔP.E = mgΔh
ΔP.E = 9.8m/s² × 0.75kg × 0.049 m
ΔP.E = 0.36015 J
Formula for kinetic energy is;
K.E = ¹/₂*m*v²
From conservation of energy;
K.E = P.E
Thus;
¹/₂* 0.075 * v² = 0.36015
v = √[(0.36015 * 2)/0.075]
v = 3.1 m/s
Thus, the pendulum will swing to the same angle on the other side.
Read more about Speed of Pendulum at; brainly.com/question/17054952
