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anygoal [31]
2 years ago
14

Divers in Acapulco dive from a cliff that is 65 m high. If the rocks

Physics
1 answer:
Alex777 [14]2 years ago
5 0

Answer:

Cool question! First step is to find the time taken to fall

57

m

, then to find the horizontal velocity needed to cover

24

m

in that time. In this case the answer is

7.0

m

s

−

1

.

Explanation:

This is a less typical projectile motion question, but it's still projectile motion. This means the horizontal and vertical directions can be considered separately. We assume that the initial vertical velocity,

u

y

=

0

m

s

−

1

, and we are trying to find the required initial horizontal velocity,

u

x

.

To find the time taken to fall

57

m

:

s

=

u

t

+

1

2

a

t

2

Since

u

=

0

, we can rearrange this to:

t

=

√

2

s

a

=

√

2

⋅

57

9.8

=

3.41

s

The horizontal velocity will be constant (ignoring air resistance), so to cover

24

m

in

3.41

s

will be given by:

v

=

s

t

→

u

x

=

24

3.41

=

7.0

m

s

−

1

Answer link

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A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A
ArbitrLikvidat [17]

Answer:

The mass of the solid cylinder is m  =  1612.5  \  kg

Explanation:

From the question we are told that

   The radius of the grinding wheel is R =  0.330 \ m

   The  tangential force is F_t =  250 \ N

    The angular acceleration is  \alpha  =  0.940 \ rad/s^2

The torque experienced by the wheel is mathematically represented as

     \tau  =  I  *  \alpha

Where  I  is the moment of inertia

The torque experienced by the wheel can also be  mathematically represented as

       \tau  =  F_t  * r

substituting values

       \tau  =  250 * 0.330

      \tau  = 82.5  \ N\cdot m

So

   82.5  =  I *  \alpha

    82.5  =  I *  0.940

So

   I  =  87.8 \ kg \cdot m^2

This moment of inertia can be mathematically evaluated as

     I  =  \frac{1}{2} * m* r^2

substituting values

  87.8  =  \frac{1}{2} * m* (0.330)^2

=>   m  =  1612.5  \  kg

5 0
3 years ago
A water wave travels across a 42-meter wide pond in 7.0 seconds. The speed of the wave is _____. 292 m/s 49 m/s 6.0 m/s 0.17 m/s
tekilochka [14]
           Speed  =  (distance covered) / (time to cover the distance).

The speed of anything that covers 42 meters in 7 seconds is

               (42 meters)  /  (7.0 seconds)

           =    (42 / 7.0)      (meters/second)

           =             6.0 m/s . 
7 0
3 years ago
Read 2 more answers
Red-orange sunsets and blue skies are a result of what type of light-matter interaction?
fomenos
B.        polarization
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8 0
3 years ago
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Charges of +2 µC and +3 µC are 4 mm from each other. Raina’s group draws four diagrams trying to represent the electrical force
ahrayia [7]
The correct diagram is shown below:

The charges of +2 µC and +3 µC are 4 mm from each other. The diagram below represents the electrical force between the charges. i.e. repulsive force. However the force of repulsion exerted by charge +3 µC on +2<span> µC will be more. The same charges repel each other and opposite charges attract each other.</span>

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3 years ago
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A size-5 soccer ball of diameter 22.6 cm and mass 426 g rolls up a hill without slipping, reaching a maximum height of 5.00 m ab
maria [59]

Answer:

W = 0.678 rad/s  

Explanation:

Using the conservation of energy:

E_i =E_f

Roll up and hill without slipping is the sumatory of two energys, rotational and translational, so:

\frac{1}{2}IW^2+ \frac{1}{2}mV^2 = mgh

where I is the moment of inertia, W the angular velocity at the base of the hill, m the mass of the ball, V the velocity at the base of the hill, g the gravity and h the altitude.

First, we will find the moment of inertia as:

I =\frac{2}{3}mR^2

where m is the mass and R the radius, so:

I =\frac{2}{3}(0.426kg)(11.3m)^2

I = 36.26 Kg*m^2

Then, replacing values on the initial equation, we get:

\frac{1}{2}(36.26)W^2+ \frac{1}{2}(0.426kg)V^2 = (0.426kg)(9.8)(5m)

also we know that:

V =WR

so:

\frac{1}{2}(36.26)W^2+ \frac{1}{2}(0.426kg)W^2R^2 = (0.426kg)(9.8)(5m)

Finally, solving for W, we get:

W^2(\frac{1}{2}(36.26)+ \frac{1}{2}(0.426kg)(11.3m)^2) = (0.426kg)(9.8)(5m)

W = 0.678 rad/s

8 0
3 years ago
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