A boy is pulling a cart by a force of 100N. The frictional force experienced by the cart is 20N. The force causing the motion of
1 answer:
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Answer:
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Explanation:
Given
Required
Determine the vertical and horizontal components
The vertical (Vy) and horizontal (Vx) components is calculated as thus:
Calculating Vertical Components:
<em> --- Approximated</em>
Calculating Horizontal Components:
<em>--- Approximated</em>
Answer:
ω = 0.0347 rad/s²
a ≅ 1.07 m/s²
Explanation:
Given that:
mass of the model airplane = 0.741 kg
radius of the wire = 30.9 m
Force = 0.795 N
The torque produced by the net thrust about the center of the circle can be calculated as:
where;
F represent the magnitude of the thrust
r represent the radius of the wire
Since we have our parameters in set, the next thing to do is to replace it into the above formula;
So;
(b)
Find the angular acceleration of the airplane when it is in level flight rad/s²
where;
I = moment of inertia
ω = angular acceleration
The moment of inertia (I) can also be illustrated as:
I = ( 0.741) × (30.9)²
I = 0.741 × 954.81
I = 707.51 Kg.m²
Making angular acceleration the subject of the formula; we have;
ω =
ω = 0.0347 rad/s²
(c)
Find the linear acceleration of the airplane tangent to its flight path.m/s²
the linear acceleration (a) can be given as:
a = ωr
a = 0.0347 × 30.9
a = 1.07223 m/s²
a ≅ 1.07 m/s²
Explanation:
It is given that,
A nerve signal travels 150 meters per second. It is the speed of the nerve signal. We need to convert the number of kilometers that the nerve signal will travel in the same time.
We know that,
1 kilometer = 1000 meter
1 hour = 3600 seconds
So, the nerve signal will travel at the rate of 540 km/h. Hence, this is the required solution.