All categories

3 years ago

What height (displacement) will a ball reach if thrown upward with an initial velocity of 15 m/s

Physics

1 answer:

olchik [2.2K]3 years ago

8 0

Answer:

11.48 m

Explanation:

initial velocity (u) = 15 m/s

acceleration due to gravity (g) = 9.8 m/s

final velocity (v) = 0 ( the ball's speed reduces gradually when thrown until

becomes 0 at maximum height)

find the height reached.

height (s) = ut + 0.5 at^{2}

we cannot apply this formula directly because we do no know the time

(t), so we first need to find the time

v = u + at

0 = 15 + (-9.8 x t) (the negative sign is because the ball is decelerating

upwards)

15 = 9.8t

t = 1.53 s

now that we have the time we can put it into the initial equation

height (s) = ut + 0.5 at^{2}

height (s) = (15 x 1.53) + (0.5 x (-9.8) x 1.53^{2})

height = 22.95 - 11.47 = 11.48 m

You might be interested in

A block of ice of mass 4.30 kg is placed against a horizontal spring that has a force constant k = 250 N/m and is compressed a d

OleMash [197]

Answer:

W = 0.060 J

v_2 = 0.18 m/s

Explanation:

solution:

for the spring:

W = 1/2*k*x_1^2 - 1/2*k*x_2^2

x_1 = -0.025 m and x_2 = 0

W = 1/2*k*x_1^2 = 1/2*(250 N/m)(-0.028m)^2

W = 0.060 J

the work-energy theorem,

W_tot = K_2 - K_1 = ΔK

with K = 1/2*m*v^2

v_2 = √2*W/m

v_2 = 0.18 m/s

8 0

3 years ago

An amusement park ride consists of a rotating circular platform 8.26 m in diameter from which 10 kg seats are suspended at the e

VashaNatasha [74]

To solve this problem we will begin by finding the necessary and effective distances that act as components of the centripetal and gravity Forces. Later using the same relationships we will find the speed of the body. The second part of the problem will use the equations previously found to find the tension.

PART A) We will begin by finding the two net distances.

$r = \frac{8.26}{2} = 4.13m$

And the distance 'd' is

$d = lsin\theta$

$d = 1.14 sin 16.2\°$

$d = 0.318m$

Through the free-body diagram the tension components are given by

$Tcos\theta = mg$

$Tsin\theta = \frac{mv^2}{R}$

Here we can watch that,

$R = r+d$

Dividing both expression we have that,

$tan\theta = \frac{v^2}{Rg}$

Replacing the values,

$tan(16.2) = \frac{v^2}{(4.13+0.318)(9.8)}$

$v = 4.83371m/s$

PART B) Using the vertical component we can find the tension,

$Tcos\theta = mg$

$T = \frac{mg}{cos\theta}$

$T = \frac{(10+26.2)(9.8)}{cos(16.2)}$

$T = 369.42N$

6 0

3 years ago

A car that experiences no frictional force is started and caused to move. For the car to continue in that motion, the gas pedal

astraxan [27]

Explanation:

Gas pedal is not required to used on friction less surface. On a friction less surface once the car is started and caused to move, car continues to move with same velocity as there is no opposing force. Therefore, no pressing of gas pedal required. However, this situation is not possible in real life, as friction is always present.

8 0

3 years ago

Kaleesha says that not a property of matter . Which statement below best describes why kaleesha is not correct?a)taste does not

Irina18 [472]

Hello there.

<span>Kaleesha says that not a property of matter . Which statement below best describes why kaleesha is not correct?

</span><span>C) taste is a physical property that can be described</span>

6 0

3 years ago

Read 2 more answers

Isotopes of hydrogen react, forming the element helium, as shown.

forsale [732]

Answer:

B. nuclear fusion

Explanation:

Atomic fusion is a process in which two or more lighter nuclei combine to form a heavier nucleus.

The mass of the single nucleus thus formed is lighter than the initial mass.

There is a difference in mass in the heavier nucleus thus formed. According to Einstein's mass-energy equation, the change in mass is equated towards energy.

The energy liberated in the process is called as thermo-nuclear energy.

As in the case of isotopes of hydrogen fuses to form helium, the nuclear reaction is given by relation

₁H³ + ₁H² → ₂He⁴ + ₀n¹ + energy

Thus, the nuclear reaction of hydrogen isotopes forming helium is nuclear fusion.

6 0

3 years ago