Answer:
The answer to your question is
a) t = 2.55 s
b) t = 5.5 s
Explanation:
Data
vo = 25 m/s
h = 2 m
g = 9.81 m/s
Formula
t = -(vo)/g
a)
t = -(25)/9.81
t = 2.55 s
b)
Tt = 2t
Tt = 2(2.55)
Tt = 5.1 s
Time in the last 10 m
10 = 25t + (1/2)(9.81)t²
Simplify
10 = 25t 4.91t²
4.9t² + 25t - 10 = 0
Solve the equation using an online calculator
t₁ = 0.37 s t₂ = -5.47 s
The correct answer is t₁, t₂ is incorrect because there are no negative answers.
Total time = 5.1 + 0.37
= 5.5 s
Answer:
The force is
Explanation:
From the question we are told that
The tangential resistive force is 
The mass of the wheel is m = 1.80 kg
The diameter of the wheel is 
The diameter of the sprocket is 
The angular acceleration considered is 
Generally the radius of the wheel is

=> 
=> 
Generally the radius of the sprocket is

=> 
=> 
Generally the moment of inertia of the wheel is mathematically represented as

=> 
=> 
Generally the torque experienced by the wheel due to the forces acting on it is mathematically represented as

Here
is the force acting on the sprocket
So


Generally the torques that will cause the wheel to move with
is mathematically represented as

So

The intensity of the magnetic force exerted on the wire due to the presence of the magnetic field is given by

where
I is the current in the wire
L is the length of the wire
B is the magnetic field intensity

is the angle between the direction of the wire and the magnetic field
In our problem, L=65 cm=0.65 m, I=0.35 A and B=1.24 T. The force on the wire is F=0.26 N, therefore we can rearrange the equation to find the sine of the angle:

and so, the angle is
Answer:
d' = 75.1 cm
Explanation:
It is given that,
The actual depth of a shallow pool is, d = 1 m
We need to find the apparent depth of the water in the pool. Let it is equal to d'.
We know that the refractive index is also defined as the ratio of real depth to the apparent depth. Let the refractive index of water is 1.33. So,

or
d' = 75.1 cm
So, the apparent depth is 75.1 cm.