3. A block falls from a table 0.6 m high. It lands on a vertical spring which has a spring constant of k= 2400 N/m.

One model for a certain planet has a core of radius R and mass M surrounded by an outer shell of inner radius R, outer radius 2R

Drupady [299]

(a) 120.8 m/s^2

The gravitational acceleration at a generic distance r from the centre of the planet is

$g=\frac{GM'}{r^2}$

where

G is the gravitational constant

M' is the mass enclosed by the spherical surface of radius r

r is the distance from the centre

For this part of the problem,

$r=R=1.17\cdot 10^6 m$

so the mass enclosed is just the mass of the core:

$M'=M=2.48\cdot 10^{24}kg$

So the gravitational acceleration is

$g=\frac{(6.67\cdot 10^{-11})(2.48\cdot 10^{24}kg)}{(1.17\cdot 10^6 m)^2}=120.8 m/s^2$

(b) 67.1 m/s^2

In this part of the problem,

$r=3R=3(1.17\cdot 10^6 m)=3.51\cdot 10^6 m$

and the mass enclosed here is the sum of the mass of the core and the mass of the shell, so

$M'=M+4M=5M=5(2.48\cdot 10^{24}kg)=1.24\cdot 10^{25}kg$

so the gravitational acceleration is

$g=\frac{(6.67\cdot 10^{-11})(1.24\cdot 10^{25}kg)}{(3.51\cdot 10^6 m)^2}=67.1 m/s^2$

8 0

4 years ago

Which letter represent the location of the resister in this diagram?

fenix001 [56]

Answer:

<h2>Letter which represent the resistance in this circuit diagram is</h2><h2>D</h2>

Explanation:

Here in this circuit diagram we know that

A = Battery

B = switch

C = connecting Wire

D = Resistance

This zig zag shape is represented as Resistance in all circuits

5 0

4 years ago

Main ingredient of all cells

Sati [7]

Chloroplast...................

7 0

4 years ago

A rock is dropped from a tall building. You can ignore air resistance. Determine its final speed and distance traveled after 4 s

Hunter-Best [27]

Answer:

(C) speed = 40 m/s, distance = 80 m

Explanation:

According to Newton law of motion for a falling body:

v = u + gt

Where v is the final velocity, u is the initial velocity, t is the time taken to fall and g is the acceleration due to gravity.

Given that: t = 4 s, g = 10 m/s², u = 0 m/s(at top of building). Therefore substituting values:

v = 0 + 10(4)

v = 40 m/s

To find the distance h, we use the formula:

v² = u² + 2gh

Substituting values:

40² = 0² + 2(10)h

20h = 40² - 0²

20h = 1600

h = 1600 / 20

h = 80 m

The speed = 40 m/s, distance = 80 m

4 0

3 years ago

A person began running due east and covered 15 km in 2.0 hr. What is the average velocity of the person? (Hint: v = d/t) Show al

AysviL [449]

d = total displacement of the person running due east = 15 km

t = time taken by the person to travel the given distance due east = 2.0 hr

v = average velocity of the person in east direction = ?

average velocity is the ratio of total displacement to total time taken. hence

average velocity = total displacement/total time

v = d/t

inserting the values

v = 15 km/2.0 hr

v = 7.50 km/hr

4 0

3 years ago