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3 years ago

9

in a softball game, a batter hits the ball at the velocity of 27m/s and angle of 40 shown below. What is the maximum range of th

e ball?

1 answer:

Nata [24]3 years ago

8 0

Answer:

R = 73.25 m

Explanation:

We have,

Initial speed of the ball is 27 m/s

It is projected at an angle of 40 degrees

The maximum range of the ball is given by :

$R=\dfrac{u^2\sin2\theta}{g}$

Plugging all the values we get :

$R=\dfrac{(27)^2\sin2(40)}{9.8}\\R=73.25\ m$

So, the maximum range of the ball is 73.25 m

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A child, hunting for his favorite wooden horse, is running on the ground around the edge of a stationary merry-go-round. The ang

olga55 [171]

Answer:

9.22 s

Explanation:

One-quarter of a turn away is 1/4 of 2π, or π/2 which is approximately 1.57 rad

Let t (seconds) be the time it takes for the child to catch up with the horse. We would have the following equation of motion for the child and the horse:

For the child: $s_c = \omega_ct = 0.233t$

For the horse: $s_h = s_0 + a_ht^2/2 = 1.57 + 0.0136t^2/2 = 1.57 + 0.0068t^2$

For the child to catch up with the horse, they must cover the same angular distance within the same time t:

$s_c = s_h$

$0.233t = 1.57 + 0.0068t^2$

$0.0068t^2 - 0.233t + 1.57 = 0$

$t= \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

$t= \frac{0.233\pm \sqrt{(-0.233)^2 - 4*(0.0068)*(1.57)}}{2*(0.0068)}$

$t= \frac{0.233\pm0.11}{0.0136}$

t = 25.05 or t = 9.22

Since we are looking for the shortest time we will pick t = 9.22 s

6 0

3 years ago

What's the gravity?

poizon [28]

Answer:

gravity is the force by which a planet or another body draws objects towards its Centre. the force of gravity keeps all of the planets in an orbit around the sun.

Explanation:

what is gravity made of?

gravity are made of proposed gravity parts that are made quantum particles which called gravitational anywhere there is gravitation there is gravity like on Earth in the Solar System most importantly in the minisclue infant and intervention universe .

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2 years ago

Which is measured by the power of a machine?

Alina [70]

the rate of work done or doing work is usually measured by the power of a machine .

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3 years ago

How does the energy of the marble remain the same at all points on the ramp

Elenna [48]

Answer:

It depends on the potential energy it has ontop of the ramp. The marble has the same potential energy was the kinetic energy without changing the ramp incline or moving it. What kinetic energy shows is what potential energy made it to be, so we look at how the ramp is placed. If the ramp is a steep incline the kinetic energy will be fast. It depends on the weight of the marble too. If the marble is heavy the potential energy will slowly tansition to kinetic energy while a light marble will transition to kinetic energy fast. But marbles are light so there we have it. It basically goes from potential energy to kinetic energy to thermal energy to potential energy. Make me brainliest pls :)

Explanation:

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2 years ago

A mass m hangs from string wrapped around a pulley of radius R. The pulley has a moment of inertia I, and its pivot is frictionl

Semmy [17]

Answer:B

Explanation:

Given

radius of Pulley is r

Pulley has a moment of inertia is I

Suppose mass is falling with an acceleration a and T be the Tension in string

$mg-T=ma$

$T=m(g-a)$

And $I\times \alpha =T\times R$

$I\times \frac{a}{R}=T\times R$

$I\times \frac{a}{R}=m(g-a)\times R$

$I=\frac{mR^2(g-a)}{a}$

and Torque is $I\alpha$

$\tau =\frac{mR^2(g-a)}{a}\times \alpha$

$\tau =\frac{mR^2(g-a)}{a}\times \frac{a}{R}$

$\tau =mR(g-a)$

Which is less than $mgR$

8 0

3 years ago