Ask question

Ask question

All categories

2 years ago

8

A 5.0 kg cannonball is dropped from the top of a tower. It falls for 1.6 seconds before slamming into a sand pile at the base of

the castle. What is the velocity of the cannonball just before it hits the ground ?

1 answer:

stepan [7]2 years ago

4 0

Answer:

15.7 m/s

Explanation:

The motion of the cannonball is a accelerated motion with constant acceleration g = 9.8 m/s^2 towards the ground (gravitational acceleration). Therefore, the velocity of the ball at time t is given by:

$v(t)=u + gt$

where

u = 0 is the initial velocity

g = 9.8 m/s^2 is the acceleration

t is the time

If we substitute t=1.6 s into the equation, we find the final velocity of the cannonball:

$v(1.6 s)=0+(9.8 m/s^2)(1.6 s)=15.7 m/s$

You might be interested in

The magnetic field of an electromagnetic wave in a vacuum is Bz =(2.4μT)sin((1.05×107)x−ωt), where x is in m and t is in s. You

tatiyna

Answer:

Explanation:

Given

$B_z=(2.4\mu T)\sin (1.05\times 10^7x-\omega t)$

Em wave is in the form of

$B=B_0\sin (kx-\omega t)$

where $\omega =frequency\ of\ oscillation$

$k=wave\ constant$

$B_0=Maximum\ value\ of\ Magnetic\ Field$

Wave constant for EM wave k is

$k=1.05\times 10^7 m^{-1}$

Wavelength of wave $\lambda =\frac{2\pi }{k}$

$\lambda =\frac{2\pi }{1.05\times 10^7}$

$\lambda =5.98\times 10^{-7} m$

7 0

1 year ago

Two horses, Thunder and Misty, are accelerating a wagon 1.3 m/s2. The force of friction is 75 N. Thunder is pulling with a force

sasho [114]

Assumption both thunder and misty are pulling in same direction,
Net force= 1000N+800N-75N=1725N
Mass of wagon = 1725N/1.3ms^-2 = 1327kg

7 0

1 year ago

Read 2 more answers

Snow has been lying on a mountainside. Suddenly, it starts to move down the mountain. Which types of friction are observed in th

Alexus [3.1K]

<h2>Snow starts to move down the mountain </h2>

The energy which is due to position is potential energy. So when the snow is lying on the mountain. It possess potential energy but when suddenly, it starts to move down the mountain, the potential energy is converted into the kinetic energy. Yet some force is exerting on the snow to stop the smooth flow of snow through mountains.

This example of frictional force may be due to presence of rough surface or stones. Generally, there are four types of friction as static, rolling, sliding and fluid friction. Though in this case when snow is lying it possess static friction, when flows then it possesses sliding and fluid friction both.

8 0

2 years ago

Consider a long, closely wound solenoid with 10,000 turns per meter. What current, in amperes, is needed in the solenoid to prod

Makovka662 [10]

Answer:

0.4344A

Explanation:

From Ampere's law, it can be shown that the magnetic field B inside a long solenoid is

$B= \mu_0NI$

Where

B= Magnetic field strenght at distance d

I= current

$\mu_0 =$ Permeability of free space ( $4\pi*10^{-7} Tm/A$ )

N= Number of loops

Our values are defined as follow,

$N=10000$

$B=5.25*10^{-5}$ T

$B'=5.25*10^{-5} * 104 = 5.46*10^{-3}T$

As a current required to become 104 times the Earth's magnetic field is required, we use B '

$B'= \mu_0NI$

$5.46*10^{-3}=4\pi*10^{-7}*10000*I$

$I=\frac{5.46*10^{-3}}{4\pi*10^{-7}*10000}$

$I=0.4344A$

<em>Therefore is needed 0.4344A in the solenoid to produce a magnetic field inside the solenoid, near its center, that is 104 times the Earth's magnetic field.</em>

4 0

1 year ago

o illustrate the work-energy concept, consider the case of a stone falling from xi to xf under the influence of gravity. Using t

Phantasy [73]

Answer: force of gravity on the body due to height difference above the earth's surface

Explanation: as you increase the height of a body above ground, you do work against gravity in moving it from a point on the earth's surface to that point. So a body falling has a stored up gravito-potential energy which acts on it downward due to its mass, accelerating it downwards

Answer b): kinetic energy of the body

Explanation: the downward force produces an acceleration of magnitude 9.81m/s2 downwards which means an increasing velocity. This increasing velocity means the kinetic energy of the body is increasing (kinetic energy is proportional to velocity of the body squared)

5 0

1 year ago