Answer:
13 km/h for 65 km
9 km/h for the next 27 km
Explanation:
Velocity of canoe =x km/h for 65 km
Velocity of canoe =x-4 km/h for 27 km after covering 65 km
Total time taken = 9 hours
So,

Solving this quadratic equation we get,

Speed cannot be 2.5 as the speed will become negative for the 27 km stretch.
So, velocity of canoe is <u>13 km/h</u> for 65 km and <u>9 km/h</u> for the next 27 km
The term sol is used by planetary astronomers to refer to the duration of a solar day on Mars.[7] A mean Martian solar day, or "sol", is 24 hours, 39 minutes, and 35.244 seconds.[6]
“Sol” is often used as a direct replacement for “Day” when concerning Mars. Mission duration for Mars missions is measured in Sols, so saying “Today is Sol xyz” would be normal, but I’m not sure if anyone would say “what a wonderful Sol tomorrow is going to be”.
Answer:
a) F = 35.7 N, b) W = 846.7 J, c) W = - 846.9 J, d) W=0
Explanation:
a) For this exercise let's use Newton's second law, let's set a reference frame with the x-axis horizontally
let's break down the pushing force.
cos (-23,7) = Fₓ / F
sin (-237) = F_y / F
Fₓ = F cos 23.7 = F 0.916
F_y = F sin (-23.7) = - F 0.402
Y axis
N- W - F_y = 0
N = W + F 0.402
X axis
Fₓ - fr = 0
F 0.916 = fr
F = fr / 0.916
F = 32.7 / 0.916
F = 35.7 N
It is asked to calculate several jobs
b) the work of the pushing force
W = fx x
W = 35.7 cos 23.7 25.9
W = 846.7 J
c) friction force work
W = F x cos tea
friction force opposes movement
W = - fr x
W = - 32.7 25.9
W = - 846.9 J
d) The work of the force would gravitate, as the displacement and the force of gravity are at 90º, the work is zero
W = 0
Answer:
The average speed is 
The average speed is different from the average velocity in this question
Explanation:
From the question we are told that
The equatorial radius of Jupiter is 
The period of oscillation of Jupiter is 
Generally the average speed is mathematically represented as

=> 
=> 
Generally in average speed the direction is not considered while in average velocity the direction is considered for the case of this question the movement equitorial point has no direction in that it start from one point and after its periodic motion it still remains at that point
Answer:
8.04 second
Explanation:
torque = 500 Nm
Length of blade, L = 2.4 m
mass of blade, m 40 kg
initial angular velocity, ωo = 0 rad/s
frequency, f = 2000 rpm = 2000 / 60 rps
final angular velocity, ωf = 2 x π x 2000 / 60 = 209.33 rad/s
Moment of inertia of the blade,


I = 19.2 kg m^2
Torque = Moment of inertia x angular acceleration
500 = 19.2 x α
where, α be the angular acceleration
α = 26.04 rad/s^2
Use first equation of motion
ω = ωo + αt
where t is the time taken by the propeller to reach 2000 rpm.
209.33 = 0 + 26.04 x t
t = 8.04 second
Thus, the time taken by the propeller is 8.04 second.