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Ivan
2 years ago
8

A car with an initial velocity of 16.0 meters per second east slows uniformly to 6.0 meters per second east in 4.0 seconds. What

is the acceleration of the car during this 4.0-second interval?
Physics
1 answer:
pychu [463]2 years ago
5 0
(6-16)/4.0=-2.5 m/s²
Acceleration of the car is -2.5 m/s²
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A glider is gliding through the air at a height of 416 meters with a speed of 45.2 m/s. The glider dives to a height of 278 mete
Verdich [7]

Answer:

<em>The glider's new speed is 68.90 m/s</em>

Explanation:

<u>Principle Of Conservation Of Mechanical Energy</u>

The mechanical energy of a system is the sum of its kinetic and potential energy. When the only potential energy considered in the system is related to the height of an object, then it's called the gravitational potential energy. The kinetic energy of an object of mass m and speed v is

\displaystyle K=\frac{1}{2}mv^2

The gravitational potential energy when it's at a height h from the zero reference is

U=mgh

The total mechanical energy is

M=K+U

\displaystyle M=\frac{1}{2}mv^2+mgh

The principle of conservation of mechanical energy states the total energy is constant while no external force is applied to the system. One example of a non-conservative system happens when friction is considered since part of the energy is lost in its thermal manifestation.

The initial conditions of the problem state that our glider is glides at 416 meters with a speed of 45.2 m/s. The initial mechanical energy is

\displaystyle M_1=\frac{1}{2}m(45.2)v_o^2+m(9.8)(416)

Operating in terms of m

\displaystyle M_1=1021.52m+4076.8m

\displaystyle M_1=5098.32m

Then we know the glider dives to 278 meters and we need to know their final speed, let's call it v_f. The final mechanical energy is

\displaystyle M_2=\frac{1}{2}mv_f^2+m(9.8)(278)

Operating and factoring

\displaystyle M_2=m(\frac{1}{2}v_f^2+2724.4)

Both mechanical energies must be the same, so

\displaystyle m(\frac{1}{2}v_f^2+2724.4)=5098.32m

Simplifying by m and rearranging

\displaystyle \frac{v_f^2}{2}=5098.32-2724.4

Computing

v_f=\sqrt{4747.84}=68.90\ m/s

The glider's new speed is 68.90 m/s

8 0
2 years ago
The number that is used to show the value of one currency compared to another is called the __________. A. trade rate B. currenc
Brrunno [24]

Answer:

c is the answer

Explanation:

8 0
2 years ago
Every action force has an opposite and equal reaction force. Determine which of these are action/reaction pairs. Check all that
denis23 [38]

A girl leans against a wall and the wall pushes on the girl.

A baseball hits a glove and the glove pushes on the ball.

A cat rubs up against a tree and the tree pushes against the cat

3 0
2 years ago
Read 2 more answers
A farm hand does 972 J of work pulling an empty hay wagon along level ground with a force of 310 N [23° below the horizontal]. T
irina1246 [14]

Answer:

Option d)

Solution:

As per the question:

Work done by farm hand, W_{FH} = 972J

Force exerted, F' = 310 N

Angle, \theta = 23^{\circ}

Now,

The component of force acting horizontally is F'cos\theta

Also, we know that the work done is the dot or scalar product of force and the displacement in the direction of the force acting on an object.

Thus

W_{FH} = \vec{F'}.\vec{d}

972 = 310\times dcos23^{\circ}

d = 3.406 m = 3.4 m

3 0
2 years ago
A professor's office door is 0.89 m wide, 2.0 m high, and 4.0 cm thick; has a mass of 25 kg ; and pivots on frictionless hinges.
taurus [48]
In order to answer this question ... strange as it may seem ...
we only need one of those measurements that you gave us
that describe the door.

The door is hanging on frictionless hinges, and there's a torque
being applied to it that's trying to close it.  All we need to do is apply
an equal torque in the opposite direction, and the door doesn't move.

Obviously, in order for our force to have the most effect, we want
to hold the door at the outer edge, farthest from the hinges.  That
distance from the hinges is the width of the door ... 0.89 m.

We need to come up with 4.9 N-m of torque,
applied against the mechanical door-closer.

Torque is (force) x (distance from the hinge).

                                    4.9 N-m  =  (force) x (0.89 m) 

Divide each side by 0.89m:    Force = (4.9 N-m) / (0.89 m)

                                                             =  5.506 N .
7 0
2 years ago
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