The period of the wave is

A hydraulic car jack needs to be designed so it can lift a 2903.57 lb car assuming that a person can exert a force of 24.41 lbs.

marishachu [46]

Answer:

Diameter of the piston would be 0.71 m (71.1 cm)

Explanation:

From the principle of pressure;

$\frac{F_{1} }{A_{1} }$ = $\frac{F_{2} }{A_{2} }$

Let $F_{1}$ = 2903.57 lb, $F_{2}$ = 24.41 lbs, $r_{2}$ = 3.26 cm = 0.0326 m.

$A_{2}$ = $\pi r^{2}$

= $\frac{22}{7}$ x $(0.0326)^{2}$

= 0.00334 $m^{2}$

So that:

$\frac{2903.57}{A_{1} }$ = $\frac{24.41}{0.00334}$

$A_{1}$ = $\frac{2903.57*0.00334}{24.41}$

= 0.3973

$A_{1}$ = 0.4 $m^{2}$

The radius of the piston can be determined by:

$A_{1}$ = $\pi r^{2}$

0.3973 = $\frac{22}{7}$ x $r^{2}$

$r^{2}$ = $\frac{0.3973*7}{22}$

= 0.1264

r = $\sqrt{0.1264}$

= 0.3555

r = 0.36 m

Diameter of the piston = 2 x r

= 2 x 0.3555

= 0.711

Diameter of the piston would be 0.71 m (71.1 cm).

4 0

3 years ago

How do you double the speed in physics

Mariulka [41]

You measure the open distance between the floor and the bottom surface of the gas pedal. Then you press the gas pedal down 1/2 of that distance.

3 0

3 years ago

Emily takes a trip, driving with a constant velocity of 87.5 km/h to the north except for a 22 min rest stop. If Emily's average

rjkz [21]

<h2>Answer:</h2>

2.63 hours

<h2>Explanation:</h2>

First we have to read carefully the problem, It start telling us that Emily was driving with average velocity of 87.5 km/h to the north. Velocity is a physical variable that is definded in terms of :

Speed of the object (87.5 km/h)

Direction of the object (north)

Them the problem says that Emily's trip has an average velocity of 76.8 km/h to the north because she made a rest stop for 22 minutes.

Now you can ask yourself: If Emily was driving at 87.5 km/h, why the average speed of the trip was 76.8 km/h?

we need to see how speed is defined:

$Speed=\frac{distance}{time} =\frac{x}{y}$

***Note 1:

Distance will be called as "x" and units will be kilometers(km)

Time will be called as "y" and units will be hours(h)

So, 87.5 km/h would be the average speed for a distance "x" and a time "y" without stops. But Emily made a stop that took 22 minutes. For the same distance Emily's trip took more time and time is in the denominator. If our numerator is constant and our denominator gets higher, the final result will be lower

Now, we have the follow expressions:

$87.5=\frac{x}{y}~~(1) \\76.8=\frac{x}{y+\frac{22}{60}}~~(2)$

***Note 2:

we need to convert 22 minutes to hours. 1 hour= 60 minutes, so we need to apply the follow covert factor:

$y(hours)=y(minutes)*\frac{1(hour)}{60(minutes)}$

The problem aks us about how long does the trip take, it means that we have to find y.

We have two variables (x and y), and we have two equationts. We know that x have the same value for both problems (Because both average speeds have the same distance), so we can solve both equations for x and made equal each other

$87.5*y=x~(3)\\76.8*(y+\frac{22}{60})=x~(4)$

$87.5*y=76.8*(y+\frac{22}{60})~(5)$

We have to expand (5) and then we have to solve for y

$87.5*y=76.8*y+76.8*\frac{22}{60}~~(6)\\87.5*y-76.8*y=76.8*\frac{22}{60}~~(7)\\10.7*y=76.8*\frac{22}{60}~~(8)\\y=\frac{76.8}{10.7}*\frac{22}{60}(hours)~~(9)\\y=2.63(hours)~~(10)$

3 0

3 years ago

If a force F is exerted on a charged particle when the particle enters a magnetic field B at a velocity v, which of the followin

mixer [17]

Answer:

The correct option is 'c': The Force vector (F) and the magnetic field vector (B) are always perpendicular.

Explanation:

The magnetic force that acts on a charged particle moving in a magnetic field is given by

$\overrightarrow{F}=q\overrightarrow{v}\times \overrightarrow{B}$

As we can see that vector cross product is involved hence we conclude that Force vector (F) is always perpendicular to both the velocity vector (v) and the magnetic field vector (B) which may be at any angle with respect to each other.

Hence we conclude that vectors F and B are always perpendicular.

4 0

3 years ago

What creates voltage difference in a battery?

Ksenya-84 [330]

Electrolyte is a chemical medium that allows the flow of electrical charge between the cathode and anode.

4 0

3 years ago