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Fed [463]
3 years ago
11

Calculate the power transfer when a pump moves 50kg of water through a vertical height of 8meters in 5seconds (take g =10meters

per second)​
Physics
1 answer:
Vika [28.1K]3 years ago
4 0

Hi there!

Recall the following relationships:

W = \Delta U = mg\Delta h\\\\P = \frac{W}{t}

W = Work (J)

U = Potential Energy (J)

m = mass (kg)

g = acceleration due to gravity (9.8 m/s²)

h = height (m)

t = time (s)

Begin by calculating the work:

W = 50(10)(8) = 4000 J

Now, divide by the time to solve for power:

P = \frac{4000}{5} = \boxed{800W}

**W is the unit for power (Watts).  Be careful not to get the two confused.

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In serving, a tennis player accelerates a 59 g tennis ball horizontally from rest to a speed of 34 m/s Assuming that the acceler
Akimi4 [234]

Answer:

The magnitude of the force exerted on the ball by the racquet is 94.73 N.

Explanation:

The force exerted on the ball is the following:

F = ma

Where:

m: is the mass of the ball = 59 g

a: is the acceleration

The acceleration of the ball can be found with the following kinematic equation:

v_{f}^{2} = v_{0}^{2} + 2ad

Where:

d: is the distance = 0.36 m

v_{f}: is the final speed = 34 m/s

v_{0}: is the initial speed = 0 (it start from rest)

Hence, the acceleration is:

a = \frac{v_{f}^{2}}{2d} = \frac{(34 m/s)^{2}}{2*0.36 m} = 1605.6 m/s^{2

Finally, the force is:

F = ma = 59 \cdot 10^{-3} kg*1605.6 m/s^{2} = 94.73 N    

Therefore, the magnitude of the force exerted on the ball by the racquet is 94.73 N.                                

                                                                 

I hope it helps you!                                                              

6 0
3 years ago
What happens when fusion begins in the outer shell of a star? The energy produced causes the star to contract into a dwarf. The
Aleks [24]

Answer:

D

Explanation:

4 0
3 years ago
. You have completed your design of a new surgical headlamp. You have decided to power the headlamp using four AA rechargeable b
SSSSS [86.1K]

Answer:

LED run before the batteries are depleted is 3.87 hours

Explanation:

given data

battery = 4 AA

battery is rated = 1.2V, 2550 mAh

power = 3 W

efficient = 95%

to find out

How long will the LED run before the batteries are depleted

solution

we consider here power delivered by battery is = x

so power = x × efficient

3 = x 95%

x = 3.15 W

and

voltage by 4 battery is = 4 × 1.2 = 4.8 V

so current will be = \frac{x}{volatge}

current = \frac{3.15}{4.8}

current = 0.6577 A

so total discharge hours = \frac{2550}{current}

total discharge hours = \frac{2550}{657.7}

time = 3.87 hours

so LED run before the batteries are depleted is 3.87 hours

5 0
3 years ago
When you ride a bicycle in what direction is the angular velocity of the wheels?
melomori [17]
I think that the angular velocity vector points at right angles to the direction in which the wheels are turning (spindle on an old fashioned record player ?) and so at right angles to the direction the bike is moving in. This contributes to the gyroscope effect on the wheels and bike and allows a rapidly rotating wheel to be more stable than a slowly rotating one. Problem for the trainee cyclist is to believe that they are actually more stable when their wheels are moving quickly. 'cos the tendency is to go slowly to start with, which makes balancing harder. 
But then, most cyclists, especially youngsters, don't sit down all day analysing circular motion vectors, which may be just as well.
4 0
4 years ago
What layer the atmosphere do you think is of greatest interest to meteorologists?
konstantin123 [22]
<span>The troposphere, because it's where the weather happens.</span>
3 0
4 years ago
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