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4 years ago

12

In a game of basketball, a forward makes a bounce pass to the center. The ball is thrown with an initial speed of 4.8 m/s at an

angle of 15 ∘ below the horizontal. It is released 0.80 m above the floor.

1 answer:

tensa zangetsu [6.8K]4 years ago

5 0

The equation to be used here is the trajectory of a projectile as written below:

y = xtanθ +/- gx²/2v²(cosθ)²
where
y is the vertical distance
x is the horizontal distance
θ is the angle of trajectory or launch angle
g is 9.81 m/s²
v is the initial velcity

Since the angle is below horizontal, let's use the minus equation. Substituting the values:

- 0.8 m = xtan15° - (9.81 m/s²)x²/2(4.8 m/s)²(cos15°)²
Solving for x,
x = 2.549 m

However, we only take half of this distance because it was specified that the distance asked before bouncing. Hence, the horizontal distance is equal to 1.27 m.

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A single conservative force F(x) = b x + a acts on a 4.37 kg particle, where x is in meters, b = 6.09 N/m and a = 5.96 N. As the

Alenkasestr [34]

Answer:104.41 J

Explanation:

Given

Force acting $F(x)=bx+a$

mass of particle $m=4.37 kg$

$a=5.96 N$

$b=6.09 N/m$

Work done is given by

$W=\int_{a}^{b}F.dx$

$W=\int_{0.652}^{5.1}\left ( 6.09x+5.96\right )dx$

$W=\left [ 6.09\times \left ( \frac{x^2}{2}\right )+5.96\times x\right ]_{0.652}^{5.1}$

$W=77.906+26.51 J$

$W=104.41 J$

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4 years ago

A planet is 15 light years from earth. At which of the following speeds will the crew of a spaceship complete the trip to the pl

Svetradugi [14.3K]

Answer:

option c) 0.88c is the correct answer

Explanation:

using the Lorrentz equation we have

$t=\frac{d}{v}\sqrt{1-(\frac{v}{c})^2}$

where,

t = time taken to cover the distance

d = Distance

v = velocity

c = speed of light

given

d = 15 light years

Now,

$8years=\frac{15years\times c}{v}\sqrt{1-(\frac{v}{c})^2}$

or

$(\frac{v}{c})^2\times (\frac{8}{15})^2=1-(\frac{v}{c})^2$

or

$(\frac{v}{c})^2\times 0.284=1-(\frac{v}{c})^2$

or

$(\frac{v}{c})^2\times 0.284 + (\frac{v}{c})^2 =1$

or

$(1.284\times \frac{v}{c})^2 =1$

or

$(\frac{v}{c}) =\sqrt{\frac{1}{0.284}}$

or

$v=0.88c$

7 0

3 years ago

What does weighing less on the moon mean for astronauts on the moon?

AnnyKZ [126]

Answer:

Isaac Newton discovered that as an object's mass increases, the gravitational attraction of that object increases. Thus, the gravitational attraction on the Moon is much less than it is here on Earth, and a person weighs less on the Moon.

hope this helps!

5 0

2 years ago

cylindrical electric resistance heater has a diameter of 1cm and length of 0.25m. When air at 25oC flows across the heater a hea

kirza4 [7]

Answer:

Explanation:

From the information given:

The diameter of the cylindrical heater (d) = 1 cm

The length of the cylindrical heater (l) = 0.25 m

The ambient air temperature $(T_{\infty})$ = 25° C= (273+25)K = 298 K

The convective heat transfer coefficient (h) = 25 W/m² °C

The electric input Q = 5W

As stated in the question that if radiation is being neglected:-

Let also assume that;

the heat transfer takes place at a steady-state

1-D flow takes place

No external heat generation; &

No force convection takes place;

Then; the heat transfer through the convection can be calculated as:

$Q = hA(T - T_{\infty})$

$5= 25 \times (\pi \times (1\times 10^{-2}) \times 0.25) (T -0.25)$

By solving the above calculation:

T ( surface temperature of the heater) = 50.46° C 122.83° F

3 0

3 years ago

About how many centimeters will make an inch?<br><br> A) 5<br> B) 10<br> C) 2+<br> D)200

Alinara [238K]

Answer:

C) 2

Explanation:

The amount of centimeters is about 2.5 centimeters in an inch

6 0

3 years ago

Read 2 more answers