2. What characteristics of a planet determine the strength of its gravitational force on other objects?

Julie throws a ball to her friend Sarah. The ball leaves Julie's hand a distance 1.5 meters above the ground with an initial spe

tia_tia [17]

Answer:

(1) 14.12 m/s

Explanation:

Given:

$u$ = initial speed of the ball = 16 m/s
$\theta$ = angle of the initial speed with the horizontal axis = $28^\circ$
$y_i$ = initial height of the ball from where Julie throws the ball = 1.5 m
$y_f$ = final position of the ball where Sarah catches the ball = 1.5 m

Let us assume the following:

$u_x$ = horizontal component of the initial speed
$u_y$ = vertical component of the initial speed
$a_x$ = horizontal acceleration of the ball
$a_y$ = vertical acceleration of the ball

The given problem is projectile motion. When the ball is thrown from the air with a speed of 16 m/s at an angle 28 degree with the horizontal axis. When the ball is in the air, it experiences an only gravitational force in the downward direction if we ignore air resistance on the ball.

This means if we break the motion of the ball along two axes and study it, we have a uniform acceleration motion in the vertical direction and a zero acceleration motion along the horizontal.

Since the ball has a zero acceleration motion along the horizontal axis, the ball must have a constant speed along the horizontal at all instant of time.

Let us find out the initial velocity horizontal component of the velocity of the ball. which is given by:

$u_x = u\cos 28^\circ = 16\times \cos 28^\circ = 14.12\ m/s$

As this horizontal velocity remains constant in the horizontal motion at all instants of time. So, the horizontal component of the ball's velocity when Sarah catches the ball is 14.12 m/s.

Hence, the horizontal component of the ball's velocity when the ball is caught by Sarah is 14.12 m/s.

6 0

3 years ago

Read 2 more answers

A disk, initially rotating at 130 rad/s, is slowed down with a constant angular acceleration of magnitude 3.0 rad/s2.(a) How muc

Art [367]

Answer

given,

initially rotating speed = 130 rad/s

final rotating speed = 0 rad/s

constant acceleration = 3 rad/s²

a) using equation of rotating acceleration

$\omega_f = \omega_i + \alpha t$

$0 = 130 - 3 \times t$

3 t = 130

t = 43.33 s

time does the disk take to stop is equal to 43.33 s

b) again using equation of rotation

$\theta = \omega_i t + \dfrac{1}{2}\alpha t^2$

$\theta = 130\times 43.33 - \dfrac{1}{2}\times 3 \times 43.33^2$

$\theta = 2817 rad$

angle does the disk rotate during that time is equal to 2817 rad

8 0

4 years ago

How many poles in a rolo?

Yakvenalex [24]

Answer: 7

Explanation:

How many pieces are in a ROLO tube?

each classic roll of ROLO….has seven individually wrapped pieces. Tuck it in your lunchbox, bag or desk drawer and get your roll on.

3 0

3 years ago

Read 2 more answers

After a nucleus undergoes radioactive decay, its new mass number is:

Ivanshal [37]

Radioactive "decay" means particles and stuff shoot OUT of a nucleus.
After that happens, there's less stuff in the nucleus than there was before.
So the new mass number is always less than the original mass number.

7 0

4 years ago

Read 2 more answers

If the child is gaining weight at an expected rate, a child who weighs 36 lb (16.3 kg) at 3 years of age would weigh what amount

algol [13]

The child at 5 years old would weight: 60 lb (27.16 kg) If he continues gaining weight a that rate

To solve this problem we will use a rule of three with the problem information:

3 years-------- 36 lb child's weight

5 years -------- x

Applying the rule of three we get:

x = ( 5 years * 36 lb child's weigh) / 3 years

x = 60 lb

By converting the weight units from lb to kg we have:

x = 60 lb * 16.3 kg/36 lb

x = 27.16 kg

<h3>What is rule of three?</h3>

It describes the proportionality of 3 known data and an unknown data. When you have more than 3 known facts that are involved in the proportionality, it is known as a compound rule. The rule of three is also known as a direct proportions.

Learn more about direct proportions at: brainly.com/question/1266676

#SPJ4

3 0

2 years ago