A 55kg cart is pushed by a force of 225 n. what is the carts acceleration?

An object moves in simple harmonic motion described by the equation d equals one fifth sine 2 t where t is measured in seconds a

tensa zangetsu [6.8K]

Answer:

The maximum displacement, the frequency, and the time required for one cycle are 1/5 inch, 1/π Hz and π sec.

Explanation:

Given that,

The equation of simple harmonic motion

$d = \dfrac{1}{5}\sin 2t$ .....(I)

We need to calculate the maximum amplitude

Using equation of simple harmonic motion

$y = a \sin\omega t$

Where, a = amplitude

$\omega$ =frequency

t = time

On comparing equation (I) and general equation

The amplitude is a maximum displacement traveled by a wave.

$a = \dfrac{1}{5}$

So, the maximum displacement is

$d= \dfrac{1}{5}\ inch$

We need to calculate the frequency

$\omega=2\pi f$

$f = \dfrac{1}{\pi}\ Hz$

We need to calculate the time required for one cycle

$t =\dfrac{1}{f}$

$t =\pi\ sec$

Hence, The maximum displacement, the frequency, and the time required for one cycle are 1/5 inch, 1/π\ Hz and π\ sec.

3 0

2 years ago

Qué fuerza neta actúa sobre una caja que se desliza cuando ejerces sobre ella una fuerza de 110 N y la fricción entre la caja y

neonofarm [45]

Answer:

if this is translated ill answer it

Explanation:

sorry i cant reed this language

8 0

3 years ago

The logarithm of x, written log(x), tells you the power to which you would raise 10 to get x. So, if y=log(x), then x=10^y. It i

Lelechka [254]

Answer:

6

Explanation:

The function which is inverse to exponentiation is called logarithm.

It is of the form

$log\ x=y\\\Rightarrow log_{10}\ x=y\\\Rightarrow 10^y=x$

The 10 here is the base of the logarithm. The logarithm with base 10 is called common logarithm

$log_{10}1000000=y\\\Rightarrow 10^y=1000000\\\Rightarrow 10^6=1000000\\\Rightarrow y=6$

So, log(1,000,000) = 6

8 0

3 years ago

Consider an electron traveling horizontally in the positive direction, above, near, and parallel to a current-carrying wire. The

allsm [11]

Answer:

(a) The electron will move towards the wire.

The direction of the magnetic fields created by the wire can be found via right-hand rule. If you point your thumb towards the direction of the current, and if you curl your fingers, the direction of your four fingers will give the direction of the magnetic field. In this case, magnetic field is around the wire, and into the page just above the wire, where the electron is located.

$\vec{F} = q\vec{v} \times \vec{B}$

According to the above formula, the direction of the force the wire applies to the electron can be found by right-hand rule.

Since the electron has a negative charge, the direction of the force is towards the wire.

(b) The proton will veer to the right.

The direction of the magnetic field is the same as the previous part. The proton has a positive charge, and coming from above. The direction of its velocity is downwards. The magnetic field above the wire is pointed into the page. Using the right-hand rule, the magnetic force on the proton is directed to the right, with respect to us.

6 0

2 years ago

A student made the following observations about a squirrel’s movements:

dalvyx [7]

The correct option is <u>D</u>.

Qualitative observations are observations that are made using our senses of sight, hearing, smell, taste and feel. These observations do not involve numbers or measurements of any kind.

The student's observations regarding the squirrel as is mentioned in options A, B and C involve measurements. Therefore these are not qualitative observations.

Option D, however, is made on the basis of sight, where the student observes the squirrel moving in a zigzag manner.

Therefore, of all the three observations, the student's observation that the squirrel ran in a zigzag pattern is the qualitative observation.

4 0

3 years ago