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alukav5142 [94]
3 years ago
13

Solve the problem. Unless stated otherwise, assume that the projectile flight is ideal, that the launch angle is measured from t

he horizontal, and that the projectile is launched from the origin over a horizontal surface An ideal projectile is launched from level ground at a launch angle of 26° and an initial speed of 48 m/sec. How far away from the launch point does the projectile hit the ground
Physics
1 answer:
kirill115 [55]3 years ago
3 0

Answer:

d = 185.26 meters

Explanation:

It is given that,

Launching angle of the projectile, \theta=26^{\circ}

Initial speed of the projectile, u = 48 m/s

Let at distance d the projectile hits the ground from the launch point. It is equal to range of the projectile. Its formula is given by :

d=\dfrac{u^2\ sin2\theta}{g}

Substituting all the values in above formula. So, we get :

d=\dfrac{(48)^2\ sin2(26)}{9.8}

d = 185.26 meters

So, the distance between the launch point and the point where it hits is 185.26 meters. Hence, this is the required solution.

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My name is Ann [436]

The crate is moving at constant velocity when the forces acting on it are

balanced.

  • The value of the force <em>F</em> required to pull the crate with constant velocity is; \underline{F = \sqrt{2} \cdot \mu \cdot m\cdot g}

Reasons:

Mass of the crate = m

Cross section of through = Right angled

Orientation (inclination) of the through to horizontal = 45°

Coefficient of kinetic friction = μ

Required:

The value of the required to pull the crate along the through at constant

velocity.

Solution:

When the through is moving at constant velocity, we have;

Friction force acting on crate = Force pulling the crate

Friction force = Normal reaction × Coefficient of kinetic friction

Normal reaction on an inclined plane = \mathbf{F_N}

Each side of the through gives a normal reaction.

The vertical component of the normal reaction on each side of the through

is therefore;

  • F_N·j = \mathbf{F_N} × sin(θ)

The sum of the vertical component = F_N·j + F_N·j = 2·F_N·j = 2·F_N×sin(θ)

The sum of the vertical component of the normal reactions = The weight of the crate

Therefore;

2·F_N×sin(θ) = m·g

θ = 45°

Therefore;

2·F_N×sin(45°) = m·g

\displaystyle sin(45^{\circ}) = \mathbf{\frac{\sqrt{2} }{2}}

Therefore;

\displaystyle 2 \cdot F_N \cdot sin(45^{\circ}) = 2 \cdot F_N \times \frac{\sqrt{2} }{2} = \sqrt{2} \cdot F_N

\displaystyle F_N = \mathbf{ \frac{m \cdot g}{\sqrt{2} }}

Which gives;

\displaystyle Force \ required, \ F = Sum  \of \ friction \ forces \ = 2 \times F_N \times \mu = \mathbf{ 2 \times \frac{m \cdot g}{\sqrt{2} }  \times \mu}

\displaystyle Force \ required, \ F = 2 \times \frac{m \cdot g}{\sqrt{2} }  \times \mu = \mathbf{ \sqrt{2} \cdot \mu \cdot m \cdot g}

  • Force required to pull the crate at constant velocity, <u>F = √2·μ·m·g</u>

Learn more about force of friction here:

brainly.com/question/6561298

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