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dezoksy
4 days ago
15

A player throws a football 50.0 m at 61.0° north of west. what is the westward component of the displacement of the football?

Physics
1 answer:
inna [2.9K]4 days ago
7 0

Answer: 24.24 m

Explanation:

A player launches a football 50.0 m at an angle of 61° to the north of west. We will break this down into vertical and horizontal elements.

Horizontal component: 50 cos 61° = 24.24 m directed westward

Vertical component: 50 sin 61° = 43.73 m directed toward the north.

Refer to the diagram below.

Therefore, the westward displacement of the football corresponds to the horizontal component of the displacement, which is 24.24 m.

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Tiana jogs 1.5 km along a straight path and then turns and jogs 2.4 km in the opposite direction. She then turns back and jogs 0
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You're driving your pickup truck around a curve that has a radius of 22 m.How fast can you drive around this curve before a stee
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The maximum speed around this curve before a toolbox made of steel slips off the truck bed is: 14.832 m/s

Further explanation

The centripetal force acts on objects in circular motion, directed towards the circle's center.

\large {\boxed {\bold {F = \frac {mv ^ 2} {R}}}

F = centripetal force, N

m = mass, Kg

v = linear velocity, m / s

r = radius, m

The velocity directed toward the center of the circle is referred to as linear velocity.

It can be represented as:

\displaysyle v = 2 \pi.r.f

r = radius of the circle

f = rotations per second (RPS)

Pickup trucks negotiating a curve are influenced by centripetal forces. To prevent the steel toolbox from slipping off the bed of the truck, the centripetal force acting on it must equal its weight. Should the centripetal force surpass the toolbox's weight, it will fall off.

centripetal force = weight

\rm \dfrac{mv^2}{r}=mg

Thus, the maximum velocity to keep the toolbox secure is:

\rm v^2=r\times g\\\\v=\sqrt{r\times g}

For a curve with a radius of 22 m, it follows that:

\rm v=\sqrt{22\times 10}\\\\v=\sqrt{220}\\\\v=\boxed{\bold{14.832\:m/s}}}

Learn more

The average velocity

Resultant velocity

Velocity position

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