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Anestetic [448]
3 years ago
5

A physics student throws a ball thrown horizontally from the top of a building with a speed of 8 m/s. The student measures the h

eight of the building to be 15m.
Physics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

Following are the solution to the given question:

Explanation:

Please find the complete question in the attached file.

a_x = 0\\\\a_y = -g = -9.81\ \ \frac{m}{s^2} \\\\v_{iy} = 0 \\\\y = v_{iy} \times t+ \frac{1}{2ay} \times t^2 \\\\ 15 = \frac{1}{2} \times 9.8 \times t^2 \\\\t = \sqrt{(2 \times \frac{15}{9.8})} \\\\

  = 1.75 \ sec \\\\

Distance:

x = v_{ix} \times t \\\\

  = 8 \times 1.75\\\\= 14 m

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A 4.5 kg box slides down a 4.3-m-high frictionless hill, starting from rest, across a 2.0-m-wide horizontal surface, then hits a
Rainbow [258]

Answer:

speed  before reaching rough surface = 9.18 m/s

speed before hitting spring = 8.70 m/s

spring compression = 82 cm

number of complete trip = 9

Explanation:

Lets say

Position 1: On top of hill

Position 2: down the hill

Position 3: after the rough surface

Position 4: after hitting the spring

We'll strictly use conservation of energy for this equation

Potential energy on top of energy is full converted into kinetic energy down the hill (since surface is frictionless)

Hence, PEg1 = KE2

mgh = (1/2)mv2^2

(4.5)(9.8)(4.3) = (1/2)(4.5)v2^2

189.63 = (1/2)(4.5)v2^2

v2^2 = 2(9.8)(4.3) = 84.28

v2 = sqrt(84.28) = 9.18 m/s

After down the hill, it passes a rough surface. So some of the energy is loss due to friction forces

Friction force, Ff = u (coeff of kinetic friction ) x N (normal force)

Normal force, N = weight of box = mg = 4.5 x 9.8

Ff = 0.22 x 4.5 x 9.8

Work done / Energy loss = Wf = Ff x d (distance)

Wf = 0.22 x 4.5 x 9.8 x 2 = 19.404

Energy after passing the rough surface is totally kinetic energy

KE3 = KE2 - Wf = 189.63 - 19.404 = 170.226

speed after rough surface,

(1/2)mv3^2 = 170.226

v3 = sqrt((2 x 170.226)/4.5) = 8.70 m/s

After hitting the spring, all the kinetic energy is converted into potential energy of spring

170.226 = (1/2)kx^2

x^2 = 2 x 170.226 / 510     {note that constant of spring, k = 510}

x^2 = 0.668

x = sqrt(0.668) = 0.82m (82 cm)

To calculate complete trip before the box coming to rest, note that the only place where it loss energy is at the rough surface.

Energy before the first time pass rough surface = 189.63

Energy loss each time passing rough surface = 19.404

189.63 / 19.404 = 9.773 (9 complete with balance of 0.773)

That mean, the box will pass the rough surface 9 complete trip before coming to rest

8 0
3 years ago
What is the total displacement of an ant that walks 2 meters west, 3 meters south, 4 meters east, and 1 meter
Ivan

(2m west) + (3m south) + (4m east) + (1m north) =

[ (2m west)+(4m east) ] + [ (3m south)+(1m north) ] =

[ (-2m east)+(4m east) ] + [ (3m south)-(1m south) ] =

(2m east) + (2m south)

Now, so far, we have the orthogonal (perpendicular) components of the displacement ... the North/South component and the East/West component.

To combine these, it's time for Pythagoras:

Displacement = √[ (2m)² + (2m)² ]

Displacement = √ (4m² + 4m²)

Diplacement = √8m²  

<em>Displacement =  2.83 meters Southeast</em>


8 0
4 years ago
HELP PLSSS<br> how many licks does it take to get to the center of a tootsy pop?
Nat2105 [25]

Answer:

364 licks

Explanation:

3 0
3 years ago
Read 2 more answers
Which has more significant figures 3.456 or 2.0002?
Dvinal [7]
The second one because the zeroes in the middle count. 2.0002
6 0
3 years ago
A rescue pilot drops a survival kit while her plane is flying at an ultitude of 2500m with a forward velocity of 95m. If the air
never [62]

Answer:

Approximately 2.1\; \rm km, assuming that g = -9.8\; \rm m \cdot s^{-2}.

Explanation:

Let t denote the time required for the package to reach the ground. Let h(\text{initial}) and h(\text{final}) denote the initial and final height of this package.

\displaystyle h(\text{final}) = \frac{1}{2}\, g\, t^2 + h(\text{initial}).

For this package:

  • Initial height: h(\text{initial}) = 2500\; \rm m.
  • Final height: h(\text{final}) = 0\; \rm m (the package would be on the ground.)

Solve for t, the time required for the package to reach the ground after being released.

\displaystyle t^{2} = \frac{2\, (h(\text{final}) - h(\text{initial}))}{g}.

\begin{aligned} t &= \sqrt{\frac{2\, (h(\text{final}) - h(\text{initial}))}{g} \\ &\approx \sqrt{\frac{2\times (0\; \rm m - 2500\; \rm m)}{(-9.8\; \rm m \cdot s^{-2})}} \approx 22.588\; \rm s\end{aligned}.

Assume that the air resistance on this package is negligible. The horizontal ("forward") velocity of this package would be constant (supposedly at 95\; \rm m \cdot s^{-1}.) From calculations above, the package would travel forward at that speed for about 22.588\; \rm s. That corresponds to approximately:95\; \rm m \cdot s^{-1} \times 22.588\; \rm s \approx 2.1 \times 10^{3}\; \rm m = 2.1\; \rm km.

Hence, the package would land approximately 2.1\; \rm km in front of where the plane released the package.

5 0
3 years ago
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