1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
jekas [21]
3 years ago
5

A dinner plate falls vertically to the floor and breaks up into three pieces, which slide horizontally along the floor. Immediat

ely after the impact, a 200-g piece moves along the +x-axis with a speed of 2.00 m/s, a 235-g piece moves along the +y-axis with a speed of 1.50 m/s. The third piece has a mass of 100 g. What is the speed of the third piece?
a) 2.51 m/s
b) 5.33 m/s
c) 6.83 m/s
d) 2.57 m/s
e) 3.50 m/s
Physics
1 answer:
N76 [4]3 years ago
4 0

Answer:

p_k=\sqrt{p_x^2+p_y^2}}

Explanation:

Apply the momentum in each direction knowing that the impact is at the same time for the pieces so

p_x=m_1*v_1

p_x=200g*2.0m/s=0.4kgm/s

p_y=m_2*v_2

p_y=235g*1.5m/s=0.3525kgm/s

So the momentum in the other piece can be find knowing that

p_x^2+p_y^2=p_k^2

So:

p_k=\sqrt{p_x^2+p_y^2}}

p_k=\sqrt{0.4^2+0.3525^2}}=\sqrt{0.2842 kg^2*m^2/s^2}

p_k=0.5331kg*m/s

To find the velocity knowing the mass

p_k=m_k*v_k

v_k=\frac{p_k}{m_k}=\frac{0.5331 kg*m/s}{0.10kg}

v_k=5.331 m/s

You might be interested in
Suppose the earth suddenly came to halt and ceased revolving around the sun. The gravitational force would then pull it directly
AleksAgata [21]

Answer:

613373.65233 m/s

Explanation:

M = Mass of Sun = 1.989\times 10^{30}\ kg

m = Mass of Earth

v = Velocity of Earth

r = Distance between Earth and Sun = 147.12\times 10^{9}\ m

r_e = Radius of Earth = 6.371\times 10^6\ m

r_s = Radius of Sun = 695.51\times 10^6\ m

In this system it is assumed that the potential and kinetic energies are conserved

\dfrac{1}{2}Mv_2-\dfrac{GMm}{r_e+r_s}=0-\dfrac{GMm}{r}\\\Rightarrow v=\sqrt{2GM(\dfrac{1}{r_e+r_s}-\dfrac{1}{r})}\\\Rightarrow v=\sqrt{2\times 6.67\times 10^{-11}\times 1.989\times 10^{30}(\dfrac{1}{6.371\times 10^6+695.51\times 10^6}-\dfrac{1}{147.12\times 10^{9}})}\\\Rightarrow v=613373.65233\ m/s

The velocity of Earth would be 613373.65233 m/s

3 0
3 years ago
A jet aircraft with a mass of 4,475 kg has an engine that exerts a force (thrust) equal to 60,800 N. (a) What is the jet's accel
BartSMP [9]

Answer:

a) 13.59 m/s²

b) 67.95 m/s

c) 169.875 m

Explanation:

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

m = Mass

Force

F=ma\\\Rightarrow a=\frac{F}{m}\\\Rightarrow a=\frac{60800}{4475}\\\Rightarrow a=13.59\ m/s^2

Acceleration of the jet is 13.59 m/s²

v=u+at\\\Rightarrow v=0+13.59\times 5\\\Rightarrow v=67.95\ m/s

Velocity attained at 5 seconds is 67.95 m/s

v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{67.95^2-0^2}{2\times 13.59}\\\Rightarrow s=169.875\ m

Distance traveled in the 5 seconds is 169.875 m

4 0
3 years ago
Read 2 more answers
If you wanted to move an electron from the positive to the negative terminal of the battery, how much work W would you need to d
brilliants [131]

a lot of electric so that the battery can work


8 0
4 years ago
What is the half-life of an isotope if 125 g of a 500 g sample of the isotope remains after 3.0 years?
Troyanec [42]

Answer:

125 / 500 = 1/4    of the sample left after 3.0 yrs

1/2 * 1/2 = 1/4        sample has decayed thru 2 half-lives

2 * HL = 3

1 Half-Life = 1.5 yrs

3 0
2 years ago
Until a train is a safe distance from the station, it must travel at 5 m/s. Once the train is on open track, it can speed up
nignag [31]

Answer:

The acceleration of the train is 5 m/s².

Explanation:

Acceleration is the change in velocity over a given time interval.

Therefore, acceleration is given as:

a=\frac{v_{f}-v_{i}}{\Delta t}

Where, v_{i}\textrm{ and }v_{f} are initial and final velocities and \Delta t is the time interval.

Here, v_{i}=5\textrm{ m/s},v_{f}=45\textrm{ m/s},\Delta t=8\textrm{ s}

This gives,

a=\frac{45-5}{8}=\frac{40}{8}=5\textrm{ }m/s^{2}

Therefore, the acceleration of the train is 5 m/s².

4 0
3 years ago
Other questions:
  • What happens when the vapor pressure of a liquid is equal to the external pressure?
    5·1 answer
  • ¿Cuál será la potencia de una bombilla conectada a una red de energía eléctrica de 440V, si la corriente que circula por el circ
    14·1 answer
  • Sometimes i wish i wasnt alive....
    14·2 answers
  • Question 3
    13·1 answer
  • _C7H16+ _O2 produces _CO2 +H2O
    11·1 answer
  • Which function is decreasing?
    7·1 answer
  • What is physics?in detail ​
    9·2 answers
  • Which two labeled points on the fig are out of phase by 180° ?
    7·1 answer
  • 8. Fig. 4.1 shows a heavy ball B of weight W suspended from a fixed beam by two ropes P and Q.
    7·1 answer
  • How do ballerinas take advantage of conservation of momentum to turn?.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!