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
prohojiy [21]
3 years ago
6

A small block is released from rest from the edge of a large hemispherical frictionless bowl with radius 3 m. As the mass passes

through the bottom of the bowl: 22. Its speed is a) 3.7 m/s b) 4.7 m/s c) 5.7 m/s d) 6.7 m/s e) 7.7 m/s
Physics
1 answer:
andreyandreev [35.5K]3 years ago
4 0

Explanation:

It is given that,

Radius of bowl, r = 3 m

A small block is released from rest from the edge of a large hemispherical friction less bowl. Let v is the speed of the mass when it passes through the bottom of the bowl and u is the initial speed of the  mass, u = 0. Using conservation of energy as :

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

h = r = 3 m

v=\sqrt{2gh}

v=\sqrt{2\times 9.8\ m/s^2\times 3\ m}

v = 7.66 m/s

or

v = 7.7 m/s

So, the speed of the mass at the bottom of the bowl is 7.7 m/s. Hence, this is the required solution.

You might be interested in
Two wheels with fixed hubs, each having a mass of 1kg , start from rest, and forces are applied: F1= 1 N to the first wheel and
irina [24]

Answer:

2N

Explanation:

m = m_1 = m_2 = 1 kg

The torques generated by tangential forces on the 2 wheels are

T_1 = F_1R_1 = 1*0.5 = 0.5 Nm

T_2 = F_2R_2 = F_2*1 = F_2 Nm

According to Newton's 2nd law, the angular accelerations generated by these torque would be

\alpha_1 = \frac{T_1}{I_1} = \frac{0.5}{mR_1^2} = \frac{0.5}{1*0.5^2} = 2 rad/s^2

\alpha_2 = \frac{T_2}{I_2} = \frac{F_2}{mR_2^2} = \frac{F_2}{1*1^2} = F_2 rad/s^2

For the 2nd wheel to have the same angular acceleration, its force must be

\alpha_1 = \alpha_2

2 = F_2

F_2 = 2N

6 0
3 years ago
A 500 kg rollercoaster car starts from rest at the top of a 10.0 m tall hill. it then travels down the track and up a loop. the
malfutka [58]

Speed of the roller coaster at the top of the loop= 7.67 m/s

Explanation:

using the law of conservation of energy

KEi + PEi= KEf + PEf

KEi= kinetic energy at the top of the hill=0 because the car is at rest there.

PEi= potential energy at the top of the hill

PEf= potential energy at the top of the loop

KEf= kinetic energy at the top of the loop

Also kinetic energy= 1/ 2m v² and potential energy= mgh

m= mass

h= height

v= velocity

so 0+ mghi = 1/2mv² + mg h

500 (9.8)(10)+ 1/2 (500) v²= 500 ( 9.8) (7)

49000+250 v²= 34300

250v²= 14700

v²=58.8

v=7.67 m/s

4 0
3 years ago
A bullet of mass 6.20 10-3 kg, moving at 1320 m/s impacts a tree stump and penetrates 11.00 cm into the wood before coming to re
sladkih [1.3K]

Answer:

  F = -49.1   10³ N

Explanation:

Let's use the kinematics to find the acceleration the acceleration of the bullet that they tell us is constant

   v_{f}² = v₀² + 2 a x

Since the bullet is at rest, the final speed is zero

    x = 11.00 cm (1 m / 100 cm) = 0.110 m

    0 = v₀² + 2 a x

   a = -v₀² / 2 x

   a = -1320²/(2 0.110)

   a = -7.92 10⁶ m / s²

With Newton's second law we find the force

   F = m a

   F = 6.20 10⁻³ (-7.92 10⁶)

   F = -49.1   10³ N

The sign means that it is the force that the tree exerts to stop the   bullet

8 0
3 years ago
As the ice melts into liquid water, what happens to the kinetic energy of the particles in the sample?
elena-s [515]

Answer:

it goes down

Explanation:

6 0
3 years ago
Read 2 more answers
While dragging a crate a workman exerts a force of 628 N. Later, the mass of the crate is increased by a factor of 3.8. If the w
Delvig [45]
Force applied = F = 628 N 
<span>Acceleration = a m/s² </span>
<span>Newton's 2nd law of motion : F = Ma </span>
<span> a = F/M -------- (1) </span>
<span>New mass of the crate = M1 = 3.8M kg </span>
<span>New acceleration = a1 = F/M1 = F/(3.8 M) ----- (2) </span>
<span>a1/a = {F/(3.8M)}/(F/M) = 1/3.8 = 10/38 = 5/19 ------- Answer</span>
6 0
4 years ago
Read 2 more answers
Other questions:
  • 3. Ohm’s Law is represented by the equation I=V/R. Explain how the current would change if the amount of resistance decreased an
    15·1 answer
  • Which is the correct free body diagram for this sutuation?<br>​
    15·1 answer
  • Air in human lungs has a temperature of 37.0°C and a saturation vapor density of 44.0 g/m³.
    7·1 answer
  • Children's immune systems are very active and excludes them from being a high risk to foodbourne illness.
    6·1 answer
  • A motorboat starting from rest on a lake accelerates in a straight line at a constant rate of 3.0 m s–2 for 8.0 s. How far does
    14·1 answer
  • The best description of personality traits we have today is
    6·1 answer
  • Why does a bowling ball and a feather hit the ground at the same time when they are dropped in a vacuum?
    10·1 answer
  • Plz help me!!!!!!!! I will give you brainliest
    9·1 answer
  • Please help:)
    13·1 answer
  • A wave has wavelength of 8m and a speed of 360 m/s. What is the frequency of the wave?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!