Which objects will likely have the smallest gravitational force between them?

A ball is launched with an initial velocity of 3m/s, at an angle of 40 degrees above the horizontal, and from a height of 0.5m.

Brut [27]

Answer:

The ball travels 1.31 m horizontally before hitting the ground.

Explanation:

Given:

Initial velocity of the ball is, $u=3\ m/s$

Angle of projection is, $\theta=40\ degree$

Initial height of the ball is, $y_0=0.5\ m$

Final height of the ball is, $y=0\ m$

Now, horizontal and vertical components of initial velocity are given as:

$u_x=u\cos\theta\\\\u_y=u\sin\theta$

Plug in the given values and find $u_x\ and\ u_y$ . This gives,

$u_x=3\ m/s\times \cos(40)\\\\u_x=2.3\ m/s\\\\u_y=3\ m/s\times \sin(40)\\\\u_y=1.9\ m/s$

Now, there is acceleration due to gravity acting in the vertical direction. The direction is downward. So, $g=-9.8\ m/s^2$ .

Now, using equation of motion in the vertical direction, we have:

$y-y_0=u_yt+\frac{1}{2}a_y t^2$

Plug in the given values and solve for time 't'. This gives,

$0-0.5=1.9t-0.5\times 9.8\times t^2\\\\-0.5=1.9t-4.9t^2\\\\4.9t^2-1.9t-0.5=0$

On solving the above quadratic equation, we get:

$t=0.57\ s\ or\ t=-0.18\ s$

Ignoring the negative result as time can't be negative. So, time taken by the ball to reach the ground is 0.57 s.

Now, as the ball moves, there is no force acting on it in the horizontal direction. So, the acceleration in the horizontal direction is 0.

Now, we know that, when acceleration is zero, the body moves with a constant speed.

Hence, distance traveled in the horizontal direction is given as:

Horizontal distance = Horizontal component of initial velocity × Time

$R=u_x\times t$

Plug in the given values and solve for 'R'. This gives,

$R=2.3\times 0.57\\\\R=1.31\ m$

So, the ball travels 1.31 m horizontally before hitting the ground.

6 0

3 years ago

Why was John Paul Jones's victory important in the war? His victory increased France's confidence in the skill of the Continenta

IRINA_888 [86]

Answer:

C. His victory against a superior British foe inspired the American troops.

Explanation:

John Paul Jones is considered the hero in the Revolutionary War. He is known as the Father of the US Navy.

In the Revolutionary War, Jones sided with the American colonists against the British and took hold of naval ships. In 1779, when the British warship Serapis was in conflict with the American warship Bon Homme Richard, Jones plugged the American warship with the Britisher's warship and tossed a grenade into the opponent warship. Thus when Jones was victorious in the war, this boosted the American spirits for the war.

Therefore, option C is the correct answer.

4 0

3 years ago

Read 2 more answers

Ok I have no clue for this one I’m not sure what to make out of this one please help

MatroZZZ [7]

Helium, Neon, and Xenon are all part of the same column on the Periodic Table. Such a column is referred to as a Group, because they have the same number of valence electrons in their outermost shell. Hope this helps!

5 0

3 years ago

Explain any 3 alternating ways of producing electricity

ehidna [41]

Answer:

to produce electricty three ways you have the water wheel the wind mill and solor panels

Explanation:

4 0

3 years ago

If B is added to C, the result is a vector in the direction of the positive y-axis with a magnitude equal to that of If C = zi +

fredd [130]

Answer:c

Explanation:

4 0

3 years ago