A rat runs 2m right, turns around and runs 3m left. Then goes 2m right. What is its displacement?

1.60 kg frictionless block is attached to an ideal spring with force constant 315 N/m . Initially the spring is neither stretche

Tatiana [17]

Answer:

(a). The amplitude of the motion is 0.926 m.

(b). The block’s maximum acceleration is 182.31 m/s².

(c). The maximum force the spring exerts on the block is 291.69 N.

Explanation:

Given that,

Mass of block =1.60 kg

Force constant = 315 N/m

Speed = 13.0 m/s

(a). We need to calculate the amplitude of the motion

Using conservation of energy

$\dfrac{1}{2}mv^2=\dfrac{1}{2}kA^2$

$A^2=\dfrac{mv^2}{k}$

Put the value into the relation

$A^2=\dfrac{1.60\times13.0^2}{315}$

$A=\sqrt{0.858}$

$A=0.926\ m$

(b). We need to calculate the block’s maximum acceleration

Using formula of acceleration

$a=A\omega^2$

$a=A\times\dfrac{k}{m}$

Put the value into the formula

$a=0.926\times\dfrac{315}{1.60}$

$a=182.31\ m/s^2$

(c). We need to calculate the maximum force the spring exerts on the block

Using formula of force

$F=ma$

Put the value into the formula

$F= 1.60\times182.31$

$F=291.69\ N$

Hence, (a). The amplitude of the motion is 0.926 m.

(b). The block’s maximum acceleration is 182.31 m/s².

(c). The maximum force the spring exerts on the block is 291.69 N.

7 0

3 years ago

Marie observed people at a store. Which is a qualifier observation she may have made ?

leva [86]

Complete question is;

Marie observed people at a store. Which is a qualitative observation she may have made?

A. Twenty people walked into the store.

B. The store sells clothes.

C. It was 1:00 P.M.

D. all of the above

Answer:

Option B:The store sells clothes.

Explanation:

We want to find the one that is a qualitative observation;

Looking at the options;

A. Twenty people walked into the store. This denotes a quantitative measure because of the number 20.

B. The store sells clothes. This denotes a qualitative measure because it describes what she sells.

C. This is a quantitative measure because it deals with time of 1 pm which is quantitative.

Therefore, the correct answer is Option B

6 0

3 years ago

A scientist uses a camera to study the stars.

likoan [24]

Answer:

All of teh above except A

Explanation:

3 0

3 years ago

The acceleration of gravity on Earth is approximately 10 m/s2 (more precisely, 9.8 m/s2). If you drop a rock from a tall buildin

mars1129 [50]

Answer:

30 m/s

Explanation:

Velocity is $v_{final}=v_{initial}+at$ since we know that the initial velocity is 0, and the acceleration is $9.8 \frac{m}{s^2} \approx 10 \frac{m}{s^2}$ then we also know that time is 3 seconds it follows that: $v_{final}=v_{initial}+at=0+10\frac{m}{s^2}*3s=30\frac{m}{s}$

8 0

4 years ago

How are gamma rays and microwaves similar

kompoz [17]

They are both electromagnetic waves

Explanation:

Electromagnetic waves are waves consisting of periodic oscillations of electric and magnetic fields. The fields oscillate in a plane perpendicular to the direction of motion the wave, so they are transverse waves.

Electromagnetic waves are the only type of waves able to travel in a vacuum. All electromagnetic waves travel in a vacuum at the same speed, known as the speed of light, equal to:

$c=3.0\cdot 10^8 m/s$

Electromagnetic waves are divided into 7 different types, depending on their wavelength and frequency. From the shortest to the longest wavelength (and so, from highest to lowest frequency, since frequency is inversely proportional to wavelength), we have:

Gamma rays

X rays

Ultraviolet

Visible light

Infrared radiation

Microwaves

Radio waves

So as we can see, both gamma rays and microwaves are types of electromagnetic waves. The difference between them is their different wavelength/frequency: in fact, the wavelength of gamma rays is extremently short (), while microwaves have longer wavelengths (at the order of the centimeter).

Learn more about electromagnetic waves:

brainly.com/question/9184100

brainly.com/question/12450147

#LearnwithBrainly

7 0

4 years ago