Ask question

Ask question

All categories

miss Akunina [59]

3 years ago

5

A car with bad shock absorbers bounces up and down with a period of 1.50 s after hitting a bump. The car has a mass of 1 500 kg

and is supported by four springs of equal force constant k. Determine the value of k.

1 answer:

kkurt [141]3 years ago

6 0

Answer:

k = 26319 N/m

Explanation:

given,

Period of bounce = 1.5 s

mass of the car = 1500 kg

four springs

to find the value of k

$T = 2\pi \sqrt{\dfrac{m}{k}}$

$1.5 = 2\pi \sqrt{\dfrac{1500}{k}}$

$\dfrac{2.25}{4\pi^2}=\dfrac{1500}{k}$

$k = \dfrac{4\pi^2 \times 1500}{2.25}$

k = 26319 N/m

Now the value of force constant is k = 26319 N/m

You might be interested in

How are stars formed and classified?

Romashka-Z-Leto [24]

Stars form from an accumulation of gas and dust, which collapses due to gravity and starts to form stars. Stars are typically classified by their spectrum in what is known as the Morgan-Keenan or MK system.

6 0

3 years ago

When children use the word “doggie” to refer to every four-legged animal they see, __________ occurs.

Oduvanchick [21]

This is known as overextension! (the correct answer is B.)

7 0

3 years ago

1. boiling point of water

melomori [17]

Answer:

what is the question. . .

5 0

3 years ago

Say that you are in a large room at temperature TC = 300 K. Someone gives you a pot of hot soup at a temperature of TH = 340 K.

DiKsa [7]

Answer:0.061

Explanation:

Given

$T_C=300 k$

Temperature of soup $T_H=340 K$

heat capacity of soup $c_v=33 J/K$

Here Temperature of soup is constantly decreasing

suppose T is the temperature of soup at any instant

efficiency is given by

$\eta =\frac{dW}{Q}=1-\frac{T_C}{T}$

$dW=Q(1-\frac{T_C}{T})$

$dW=c_v(1-\frac{T_C}{T})dT$

integrating From $T_H$ to $T_C$

$\int dW=\int_{T_C}^{T_H}c_v(1-\frac{T_C}{T})dT$

$W=\int_{T_C}^{T_H}33\cdot (1-\frac{300}{T})dT$

$W=c_v\left [ T-T_C\ln T\right ]_{T_H}^{T_C}$

$W=c_v\left [ \left ( T_C-T_H\right )-T_C\left ( \ln \frac{T_C}{T_H}\right )\right ]$

Now heat lost by soup is given by

$Q=c_v(T_C-T_H)$

Fraction of the total heat that is lost by the soup can be turned is given by

$=\frac{W}{Q}$

$=\frac{c_v\left [ \left ( T_C-T_H\right )-T_C\left ( \ln \frac{T_C}{T_H}\right )\right ]}{c_v(T_C-T_H)}$

$=\frac{T_C-T_H-T_C\ln (\frac{T_C}{T_H})}{T_C-T_H}$

$=\frac{300-340-300\ln (\frac{300}{340})}{300-340}$

$=\frac{-40+37.548}{-40}$

$=0.061$

4 0

3 years ago

Abigail wants to get better at baseball. In order to do this, she has created a list of skills she will need to improve. Which s

anygoal [31]

Power is your answer :)

Have a great day!!!

5 0

3 years ago

Read 2 more answers