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
seraphim [82]
3 years ago
8

At the bottom of its path, the ball strikes a 2.30 kg steel block initially at rest on a frictionless surface. The collision is

elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision.
Physics
1 answer:
Triss [41]3 years ago
8 0

Answer:

(a). The speed of the ball after collision is 2.01 m/s.

(b). The speed of the block after collision 1.11 m/s.

Explanation:

Suppose, A steel ball of mass 0.500 kg is fastened to a cord that is 50.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal.

Given that,

Mass of steel block = 2.30 kg

Mass of ball = 0.500 kg

Length of cord = 50.0 cm

We need to calculate the initial speed of the ball

Using conservation of energy

\dfrac{1}{2}mv^2=mgl

v=\sqrt{2gl}

Put the value into the formula

u=\sqrt{2\times9.8\times50.0\times10^{-2}}

u=3.13\ m/s

The initial speed of the ball u_{1}=3.13\ m/s

The initial speed of the block u_{2}=0

(a). We need to calculate the speed of the ball after collision

Using formula of collision

v_{1}=(\dfrac{m_{1}-m_{2}}{m_{1}+m_{2}})u_{1}+(\dfrac{2m_{2}}{m_{1}+m_{2}})u_{2}

Put the value into the formula

v_{1}=(\dfrac{0.5-2.30}{0.5+2.30})\times3.13

v_{1}=-2.01\ m/s

Negative sign shows the opposite direction of initial direction.

(b). We need to calculate the speed of the block after collision

Using formula of collision

v_{2}=(\dfrac{2m_{1}}{m_{1}+m_{2}})u_{1}+(\dfrac{m_{1}-m_{2}}{m_{1}+m_{2}})u_{2}

Put the value into the formula

v_{2}=(\dfrac{2\times0.5}{0.5+2.30})\times3.13+0

v_{2}=1.11\ m/s

Hence, (a). The speed of the ball after collision is 2.01 m/s.

(b). The speed of the block after collision 1.11 m/s.

You might be interested in
At the center of the sun, fusion converts hydrogen into
dimaraw [331]
<span>At the center of the sun, fusion converts hydrogen into helium, neutrinos and another thing that I forgot =/</span>
3 0
3 years ago
A 14.0 gauge copper wire of diameter 1.628 mm carries a current of 12.0 mA . A) What is the potential difference across a 1.80 m
Serga [27]

Answer: a) 139.4 μV; b) 129.6 μV

Explanation: In order to solve this problem we have to use the Ohm law given by:

V=R*I whre R= ρ *L/A  where ρ;L and A are the resistivity, length and cross section of teh wire.

Then we have:

for cooper R=1.71 *10^-8* 1.8/(0.001628)^2= 11.61 * 10^-3Ω

and for silver R= 1.58 *10^-8* 1.8/(0.001628)^2=10.80 * 10^-3Ω

Finalle we calculate the potential difference (V) for both wires:

Vcooper=11.62* 10^-3* 12 * 10^-3=139.410^-6 V

V silver= 10.80 10^-3* 12 * 10^-3=129.6 10^-6 V

8 0
3 years ago
Read 2 more answers
Define inner core <br> How thick is inner core <br> Temperature of inner core
Alex777 [14]

Answer:

The solid material found in the centre of some planets at extremely high temperature and pressure, distinct from the liquid outer core.

about 1250 km

approximately 5700 K (5430 °C or 9806 °F)

Explanation:

3 0
2 years ago
PLZ HELP GUYS PLZ!!!!! The answer is not motion, particles.
harina [27]

Answer:

Energy

Explanation:

4 0
3 years ago
Which of the following is true about organizing items and information during scientific investigations?
LekaFEV [45]
There are usually multiple methods for organizing items and information in a scientific investigation.
5 0
3 years ago
Read 2 more answers
Other questions:
  • A large fraction of the ultraviolet (UV) radiation coming from the sun is absorbed by the atmosphere. The main UV absorber in ou
    7·1 answer
  • What does it mean if a conductor is in "electrostatic equilibrium"? a) The conductor is at rest.
    5·1 answer
  • Help help help please , i will give brainliest
    5·2 answers
  • A projectile is launched on earth at an angle θ, relative to horizontal direction. At half of its maximum height the speed of th
    8·1 answer
  • What is the current in a circuit with a 4.5 V battery and a 9 Ω resistor?
    13·2 answers
  • The work of warren washington would be most likely to explain which of the following phenomena
    9·1 answer
  • HELP ME ASAP PLS, ( zoom in on the picture )
    13·1 answer
  • 19. A stone has a mass of 390 g and a density of 2.7 g/cm3.
    7·1 answer
  • Discuss how a sheet can be made water proof​
    12·1 answer
  • Electricity flows from what to what
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!