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4 years ago

How much tension must a rope withstand if it is used to accelerate 70.0 skier behind a boat at 1.50m/s^2?

1 answer:

6 0

It will be stand 46.67 all i did was divide both numbers but im not sure if im right but i hope i am hope i helped:)

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P6: An object of mass m sits on a spring of constant k in an elevator that is accelerating upwards with acceleration a. a) In te

tankabanditka [31]

Answer:

(a). The spring compressed is $\dfrac{ma+mg}{k}$ .

(b). The acceleration is 1.5 g.

Explanation:

Given that,

Acceleration = a

mass = m

spring constant = k

(a). We need to calculate the spring compressed

Using balance equation

$kx-mg=ma$

$x=\dfrac{ma+mg}{k}$ ....(I)

The spring compressed is $\dfrac{ma+mg}{k}$ .

(b). If the compression is 2.5 times larger than it is when the mass sits in a still elevator,

The compression is given by

$x=2.5\times x_{0}$

Here, acceleration is zero

So, $x=2.5\times\dfrac{mg}{k}$

We need to calculate the acceleration

Put the value of x in equation (I)

$2.5\times \dfrac{mg}{k}=\dfrac{ma+mg}{k}$

$2.5\times\dfrac{mg}{k}=\dfrac{m}{k}(a+g)$

$a=2.5g-g$

$a=1.5g$

Hence, (a). The spring compressed is $\dfrac{ma+mg}{k}$ .

(b). The acceleration is 1.5 g.

8 0

3 years ago

You and a friend each hold a lump of wet clay. Each lump has a mass of 30 grams. You each toss your lump of clay into the air, w

Vesna [10]

Answer:

$\ \text{m/s}$

Explanation:

$u_1$ = Velocity of one lump = $3x+3y-3z$

$u_2$ = Velocity of the other lump = $-4x+0y-4z$

m = Mass of each lump = $30\ \text{g}$

The collision is perfectly inelastic as the lumps stick to each other so we have the relation

$mu_1+mu_2=(m+m)v\\\Rightarrow m(u_1+u_2)=2mv\\\Rightarrow v=\dfrac{u_1+u_2}{2}\\\Rightarrow v=\dfrac{3x+3y-3z-4x+0y-4z}{2}\\\Rightarrow v=-0.5x+1.5y-3.5z=\ \text{m/s}$

The velocity of the stuck-together lump just after the collision is $\ \text{m/s}$ .

4 0

3 years ago

The swim bladder of a fish helps keep the fish from sinking by_______.

Slav-nsk [51]

Answer:

C. Increasing its buoyancy

6 0

3 years ago

Read 2 more answers

El peso de María es de 617,4 N. Si en dos meses pierde 2,5 Kg de masa, ¿cuál será su nuevo peso?

NeTakaya

Two hundred and thirsty years

5 0

4 years ago

Read 2 more answers

describe the charge, mass and the location of each subatomic particle and the role each plays in determining the properties of a

Harrizon [31]

Explanation :

An atom is a smallest particle of matter. An atom consists of protons, neutrons and electrons. These are three subatomic particles.

Protons are positively charged species while neutrons are negatively charged species. Electrons revolves around an atom.

Charge :

The charge of an electron is negative or $-1.6\times 10^{-19} \ C$

The charge of proton is +e or $1.6\times 10^{-19} \ C$

Neutron has no charge.

Mass :

Atomic mass of electron is $9.1\times10^{-31}\ Kg$

Atomic mass of proton is $1.67\times10^{-27}\ Kg$

Atomic mass of neutron is $1.67\times10^{-27}\ Kg$

Both protons and neutrons are located inside the nucleus at the center.

Charge, atomic mass and location determines the properties of an atom. Atomic mass tells about the number of protons and neutrons inside an atom. Electric charge tells us the number of electrons gain or lost.

6 0

3 years ago