<u>Answer:</u>
Magnitude of resultant velocity of kayaker to the nearest tenth = 10 m/s
Direction of resultant velocity of kayaker = 49.32⁰ South of west.
<u>Explanation:</u>
Let east represents positive x- axis and north represent positive y - axis. Horizontal component is i and vertical component is j.
First kayaker paddles at 4.0 m/s in a direction 30° south of west, kayaker paddles at 4.0 m/s in a direction 210° anticlockwise from positive horizontal axis.
So velocity of kayaker = 4 cos 210 i + 4 sin 210 j = -3.46 i - 2 j
He then turns and paddles at 3.7 m/s in a direction 20° west of south, kayaker paddles at 3.7 m/s in a direction 250° anticlockwise from positive horizontal axis.
So that velocity = -1.27 i - 3.48 j
So resultant velocity of kayaker = -3.46 i - 2 j +(-1.27 i - 3.48 j) = -4.71 i - 5.48 j
Magnitude of resultant velocity of kayaker = 
Magnitude of resultant velocity of kayaker to the nearest tenth = 10 m/s
Direction of resultant positive horizontal axis, θ = tan⁻¹(-5.48/-4.71) = 229.32⁰ = 49.32⁰ South of west.
The cart's acceleration to the right after the mass is released is determined as 7.54 m/s².
<h3>
Acceleration of the cart</h3>
The acceleration of the cart is determined from the net force acting on the mass-cart system.
Upward force = Downward force
ma = mg
13a = 10(9.8)
13a = 98
a = 98/13
a = 7.54 m/s²
Thus, the cart's acceleration to the right after the mass is released is determined as 7.54 m/s².
Learn more about acceleration here: brainly.com/question/14344386
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750W 30mins...750x30x60 joules ... 75000x18 ... about 1,500,000j
D
Answer: 1.33
Explanation:
We would apply Snell's law which is expressed as
niSinθi = nrSinθr
where
θi = angle of incidence
θr = angle of refraction
ni = index of refraction of the incident medium(air)
nr = index of refraction of the refractive medium(liquid in this case)
From the information given,
ni = 1(index for air)
θi = 37
θr = 27
By substituting these values into the formula, we have
1 * sin37 = nr * sin27
nr = sin37/sin27
nr = 1.33
The index of the liquid is 1.33
Answer:
1000m/s²
Explanation:
Given parameters:
Initial velocity = 6000m/s
Final velocity = 11000m/s
Time = 50s
Unknown:
Acceleration of the plane = ?
Solution:
Acceleration is the rate of change of velocity with time:
Acceleration = (final velocity - starting velocity) ÷ time
Therefore;
Acceleration = 
= 1000m/s²
