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Gelneren [198K]
2 years ago
5

A basketball player makes a jump shot. The 0.600-kg ball is released at a height of 2.01 m above the floor with a speed of 7.26

m/s. The ball goes through the net 3.10 m above the floor at a speed of 3.81 m/s. What is the work done on the ball by air resistance, a nonconservative force
Physics
1 answer:
matrenka [14]2 years ago
7 0

Answer: Work done on the ball by air resistance = -5.049J

Explanation:

From law of conservation of energy

Potential energy + kinetic energy + Work of air resistance  = Potential energy + kinetic energy +

mgh + 1/2 mv^2  + W= mgh¹ + 1/2 mv¹^2

=0.6 Kg x 9.8m/s x 2.01  +1/2 x0.60 x (7.26)^2+ W= 0.6 x 9.8 x 3.10 + 1/2 x 0.6 x 3.81

=11.8188 + 15.81288 +W = 18.228 + 4.3548

=27.63168 +W =22.58283

W = 22.578-27.63168

W=-5.049 J

Work done on the ball by air resistance = -5.049J ( N egative sign indicates that  Work was in opposite direction of motion

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A 16-Ω loudspeaker, an 8.0-Ω loudspeaker, and a 4.0-Ω loudspeaker are connected in parallel across the terminals of an amplifier
kolbaska11 [484]

Answer:

2.286 ohm

Explanation:

R1 = 16 ohm

R2 = 8 ohm

R3 = 4 ohm

They all are connected in parallel combination

Let the equivalent resistance is R.

1/R = 1/R1 + 1/R2 + 1/R3

1/R = 1/16 + 1/8 + 1/4

1/R = (1 + 2 + 4) / 16

1/R = 7 / 16

R = 16/7 = 2.286 ohm

6 0
2 years ago
A hot air balloon is on the ground, 200 feet from an observer. The pilot decides to ascend at 100 ft/min. How fast is the angle
liq [111]

Answer:

0.0031792338 rad/s

Explanation:

\theta = Angle of elevation

y = Height of balloon

Using trigonometry

tan\theta=y\dfrac{y}{200}\\\Rightarrow y=200tan\theta

Differentiating with respect to t we get

\dfrac{dy}{dt}=\dfrac{d}{dt}200tan\theta\\\Rightarrow \dfrac{dy}{dt}=200sec^2\theta\dfrac{d\theta}{dt}\\\Rightarrow 100=200sec^2\theta\dfrac{d\theta}{dt}\\\Rightarrow \dfrac{d\theta}{dt}=\dfrac{100}{200sec^2\theta}\\\Rightarrow \dfrac{d\theta}{dt}=\dfrac{1}{2}cos^2\theta

Now, with the base at 200 ft and height at 2500 ft

The hypotenuse is

h=\sqrt{200^2+2500^2}\\\Rightarrow h=2507.98\ ft

Now y = 2500 ft

cos\theta=\dfrac{200}{h}\\\Rightarrow cos\theta=\dfrac{200}{2507.98}=0.07974

\dfrac{d\theta}{dt}=\dfrac{1}{2}\times 0.07974^2\\\Rightarrow \dfrac{d\theta}{dt}=0.0031792338\ rad/s

The angle is changing at 0.0031792338 rad/s

6 0
2 years ago
In this vLab you used a complex machine to launch a projectile with the ultimate goal of hitting the target. Assume you built a
MissTica
For a catapult to fire a projectile a significant range, the projectile will need a large mass. The machine would have to be very large to compensate for that. Also, the machine would be highly inaccurate. It would be entirely too difficult to pinpoint the exact location in which the projectile will hit. If you were to use a projectile that had a smaller mass, it would too easily be affected by friction, wind, and other outside forces. The machine used to fire the projectile itself, would have to be large, and it would be very inefficient.
8 0
2 years ago
Consider a long, closely wound solenoid with 10,000 turns per meter. What current, in amperes, is needed in the solenoid to prod
Makovka662 [10]

Answer:

0.4344A

Explanation:

From Ampere's law, it can be shown that the magnetic field B inside a long solenoid is

B= \mu_0NI

Where

B= Magnetic field strenght at distance d

I= current

\mu_0 =Permeability of free space (4\pi*10^{-7} Tm/A)

N= Number of loops

Our values are defined as follow,

N=10000

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B'=5.25*10^{-5} * 104 = 5.46*10^{-3}T

As a current required to become 104 times the Earth's magnetic field is required, we use B '

B'= \mu_0NI

5.46*10^{-3}=4\pi*10^{-7}*10000*I

I=\frac{5.46*10^{-3}}{4\pi*10^{-7}*10000}

I=0.4344A

<em>Therefore is needed 0.4344A in the solenoid to produce a magnetic field inside the solenoid, near its center, that is 104 times the Earth's magnetic field.</em>

4 0
1 year ago
A ball is dropped from the top of an eleven-story building to a balcony on the ninth floor. In which case is the change in the p
lozanna [386]

Answer:

at the top of the 9 story building i think

Explanation:

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2 years ago
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