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lozanna [386]
3 years ago
12

An object at rest on a flat, horizontal surface explodes into two fragments, one seven times as massive as the other. the heavie

r fragment slides 6.70 m before stopping. how far does the lighter fragment slide?
Physics
1 answer:
Doss [256]3 years ago
6 0
By conservation of momentum,
Distance lighter fragment slide= 7*6.7=46.9m
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a turtle swimming in a straight line toward shore has a speed of 0.50 m/s after 4.0s its speed is 0.80 m/s what is the turtle's
bagirrra123 [75]

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5 0
4 years ago
A solid ball of mass M = 2.0 kg and radius R = 0.25 m starts from rest at a height h = 3.0 m above the bottom of the path. It ro
Lady bird [3.3K]

Answer:

6.48 m/s

Explanation:

We are given that

Mass,M=2 kg

Radius,R=0.25 m

Height,h=3 m

Moment of inertia of solid sphere=I=\frac{2}{5}MR^2

We have to find the linear speed.

\omega=\frac{v}{R}

By law of conservation of energy

mgh=\frac{1}{2}I\omega^2+\frac{1}{2}mv^2

mgh=\frac{1}{2}I(\frac{v}{R})^2+\frac{1}{2}mv^2=\frac{1}{2}v^2(\frac{I}{R^2}+m)

Where g=9.8m/s^2

Substitute the values

2\times 9.8\times 3=\frac{1}{2}(\frac{2}{5R^2}MR^2+M)=\frac{7}{10}Mv^2=\frac{7}{10}(2)v^2

v^2=\frac{2\times 9.8\times 3\times 10}{7\times 2}

v=\sqrt{\frac{2\times 9.8\times 3\times 5}{7}}

v=6.48m/s

5 0
3 years ago
A fisherman notices that his boat is moving up and down periodically without any horizontal motion, owing to waves on the surfac
frutty [35]

Answer:

Velocity=1.1m/s

Amplitude=0.35m

Explanation:

Given:

time 't' = 2.9s

wavelength 'λ'= 5.5m

distance 'd'=0.7m

The time period 't' is the time b/w two successive waves. Therefore, the time it takes from the boat to travel  from its highest point to its lowest is a half period.

So, T = 2 x 2.9 => 5.8 s

As we know that frequency is the reciprocal of time period, we have

f= 1/T = 1/5.8 =>0.2 Hz

In order to find how fast are the waves traveling, the velocity is given by

Velocity = f λ

V= 0.2 x 5.5 =>1.1m/s

The distance between the boat's highest point to its lowest point is double the amplitude.

Therefore , we can write

Amplitude 'A'= d/2 =>0.7/2 =>0.35m

8 0
3 years ago
Plastic foam is about 0.10 times as dense as water. What weight of bricks could you stack on a 1m x 1m x 0.10m slab of foam, so
goblinko [34]

Answer: Weight = 98.1N

Explanation:

Density of water = 1000 kg/m^3

Given that the Plastic foam is about 0.10 times as dense as water. That is,

Density of plastic foam = 0.1 × 1000 = 100kg/m^3

The volume V = 1 ×1×0.1 = 0.1 m^3

Density is the ratio of mass to volume

Density = mass/volume

Let us substitute for density and volume to get mass.

100 = M/0.1

Make M the subject of formula

M = 100 × 0.1 = 10 kg

Weight = mg

Where g = 9.81 m/s

Substitute the M and g into the formula

Weight = 10 × 9.81 = 98.1 N

Therefore, the weight of the brick is 98.1 N

4 0
4 years ago
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