You try to hit an annoying pigeon by throwing a ball straight up into the air with a velocity of 16 m/s. What is its velocity 0.5s into flight?

Answers

Answer 1
Answer:

Answer:

20.9 m/s

Explanation:

Given that,

Initial velocity, u = 16 m/s

We need to find its velocity 0.5 s into flight when a ball straight up into the air. Let it is v. It will move under the action of gravity. Using first equation of motion to find it as follows :

v=u+at

Here, a = g

v = 16 + 9.8(0.5)

v = 20.9 m/s

So, the final velocity is 20.9 m/s.


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Tyler drives 50km north. Tyler then drives back 30km south. What distance did he cover? What was his displacement? ​

A string is wrapped around a pulley with a radius of 2.0 cm. The pulley is initially at rest. A constant force of 50 N is applied to the string, causing the pulley to rotate and the string to unwind. If the string unwinds 1.2 m in 4.9 s, what is the moment of inertia of the pulley

Answers

Answer:

0.20kg-m^2

Explanation:

Let the linear velocity of the rope(=of pulley) is v m/s

Using kinematic equation

=> v = u + at

=>v = 0 + 4.9a

=>v = 4.9a ------------ eq1

By v^2 = u^2 + 2as

=>v^2 = 0 + 2 x v/4.9 x 1.2

=>4.9v^2 - 2.4v = 0

=>v(4.9v - 2.4) = 0

=>v = 2.4/4.9 = 0.49 m/s

Thus by v = r x omega

=>omega = v/r = 0.49/0.02 = 24.49 rad/sec

BY W = F x s = 50 x 1.2 = 60 J

=>KE(rotational) = W = 1/2 x I x omega^2

=>60 = 1/2 x I x (24.49)^2

=>I = 0.20 kg-m^2

An ambulance driving with velocity v/8 where v is the speed of sound, emits a siren with a frequency of . What is the frequency heard by a stationary observer toward whom the ambulance is driving?

Answers

Frequency = 1/ Time period

Calculate the speed of the ball, vo in m/s, just after the launch. A bowling ball of mass m = 1.5 kg is launched from a spring compressed by a distance d = 0.21 m at an angle of θ = 32° measured from the horizontal. It is observed that the ball reaches a maximum height of h = 4.4 m, measured from the initial position of the ball. Let the gravitational potential energy be zero at the initial height of the bowling ball.

Answers

Answer:

v_0=17.3m/s

Explanation:

In this problem we have three important moments; the instant in which the ball is released (1), the instant in which the ball starts to fly freely (2) and the instant in which has its maximum height (3). From the conservation of mechanical energy, the total energy in each moment has to be the same. In (1), it is only elastic potential energy; in (2) and (3) are both gravitational potential energy and kinetic energy. Writing this and substituting by known values, we obtain:

E_1=E_2=E_3\n\nU_e_1=U_g_2+K_2=U_g_3+K_3\n\n(1)/(2)kd^2=mg(d\sin\theta)+(1)/(2)mv_0^2=mgh+(1)/(2)m(v_0\cos\theta)^2

Since we only care about the velocity v_0, we can keep only the second and third parts of the equation and solve:

mgd\sin\theta+(1)/(2)mv_0^2=mgh+(1)/(2)mv_0^2\cos^2\theta\n\n(1)/(2)mv_0^2(1-\cos^2\theta)=mg(h-d\sin\theta)\n\nv_0=\sqrt{(2g(h-d\sin\theta))/(1-\cos^2\theta)}\n\nv_0=\sqrt{(2(9.8m/s^2)(4.4m-(0.21m)\sin32\°))/(1-\cos^232\°)}\n\nv_0=17.3m/s

So, the speed of the ball just after the launch is 17.3m/s.

What is this equation for?

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That's the equation for the efficiency of any machine or other system that you use to change energy from one form to another. It says that the efficiency of that device is equal to the work or energy that comes out of it divided by the work or energy that you put into it.

What is cell function

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Answer:

Cells are the basic building blocks of all living things. The human body is composed of trillions of cells. They provide structure for the body, take in nutrients from food, convert those nutrients into energy, and carry out specialized functions.

Explanation:

What sometimes occurs when reclaimed water is used in agriculture?

Answers

I remember this from IPC! If farmers used reclaimed water, there is a chance of chemical contamination in the water can damage the plants, if not kill them entirely! :D