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Lostsunrise [7]
3 years ago
10

John rows his canoe due east across a river at 5.5 miles per hour. if the river is flowing south at 4 miles per hour, find john’

s direction.
Physics
1 answer:
Juli2301 [7.4K]3 years ago
5 0
This is the concept of trigonometry, the direction of the John will be given by:
tan theta=opposite/adjacent
suppose:
a=theta
opposite=4 mph
adjacent=5.5 mph
tan a=4/5.5
a=tan^-1(4/5.5)
a=36
therefore the boat canoe will be moving 36 degrees from East, his direction will be 126 degrees south east
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A mass resting on a horizontal, frictionless surface is attached to one end of a spring; the other end is fixed to a wall. It ta
Tomtit [17]

Answer:

(a) 185 N/m

(b) 3.083 kg

Explanation:

(a)

Using,

E = 1/2ke²....................... Equation 1

Where E = work done to compress the spring, k = spring constant of the spring, e = compression of the spring.

make k the subject of the equation

k = 2E/e²............... Equation 2

Given: E = 3.7 J, e = 0.20 m

Substitute into equation 2

k = 2(3.7)/0.2²

k = 185 N/m.

(b)

Using,

F = ma.............. Equation 2

Where F = force applied to the spring, m = mass attached to the spring, a = acceleration of the spring.

But from hook's law,

F = ke................. Equation 3

substitute equation 3 into equation 2

ke = ma

make m the subject of the equation

m = ke/a................ Equation 4

Given: k = 185 N/m, e = 0.2 m, a = 12 m/s²

Substitute into equation 4

m = 185(0.2)/12

m = 3.083 kg

3 0
3 years ago
Read 2 more answers
The North American Plate is moving west at a rate of approximately 20 mm/yr. How long will it take for New York to move 10° long
scZoUnD [109]

Answer:

55000000 years

Explanation:

Rate of North American Plate moving (Velocity) = 20 mm/yr

Degrees New York has to move = 10° west

New York's longitude = 110 km/°

Distance of New York = 110×10 = 1100 km

= 1100×10⁶ mm

\text {Time taken by the continental plate}=\frac {\text {Distance of New York}}{\text {Rate of North American Plate moving (Velocity)}}\\\Rightarrow \text {Time taken by the continental plate}=\frac{1100\times 10^6}{20}\\\Rightarrow \text {Time taken by the continental plate}=55\times 10^6\ years

∴ Time taken by New York to move 10° west is 55000000 years

6 0
3 years ago
Why is understanding the concept of forces, friction and gravity important?
nydimaria [60]
Because it's the basis of how everything around you works
8 0
3 years ago
how do u calculate the kinetic energy of a ball of mass 0.25kg being kicked vertically upwards with a speed of 5m/s​
vfiekz [6]

Answer:

3.125J

Explanation:

K.E.= 1/2(mass)(velocity)^2

K.E.=1/2(0.25)(5)^2=3.125

6 0
3 years ago
Find an expression for the square of the orbital period.
jenyasd209 [6]

Answer:

T²= 4π²R³/GM

Explanation:

First we know that

Fg= Fc

Because centripetal force must equal gravitational force

So

GMm/R² = Mv²/R

But velocity is 2πR/T

So by substitution we have

GMm/R²= M (2πR/T)/T

We have

T²= 4π²R³/GM as period

8 0
2 years ago
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