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
AleksAgata [21]
3 years ago
8

A horizontal 810-N merry-go-round of radius 1.60 m is started from rest by a constant horizontal force of 55 N applied tangentia

lly to the merry-go-round. Find the kinetic energy of the merry-go-round after 4.0 s. (Assume it is a solid cylinder. Also assume the force is applied at the outside edge.)
Physics
1 answer:
Sloan [31]3 years ago
6 0

Answer:

576 joules

Explanation:

From the question we are given the following:

weight = 810 N

radius (r) = 1.6 m

horizontal force (F) = 55 N

time (t) = 4 s

acceleration due to gravity (g) = 9.8 m/s^{2}

K.E = 0.5 x MI x ω^{2}

where MI is the moment of inertia and ω is the angular velocity

MI = 0.5 x m x r^2

mass = weight ÷ g = 810 ÷ 9.8 = 82.65 kg

MI = 0.5 x 82.65 x 1.6^{2}

MI = 105.8 kg.m^{2}

angular velocity (ω) = a x t

angular acceleration (a) = torque ÷ MI

where torque = F x r = 55 x 1.6 = 88 N.m

a= 88 ÷ 105.8 = 0.83 rad /s^{2}

therefore

angular velocity (ω) = a x t = 0.83 x 4 = 3.33 rad/s

K.E = 0.5 x MI x ω^{2}

K.E = 0.5 x 105.8 x 3.33^{2} = 576 joules

You might be interested in
What does Newton’s second law predict about the acceleration if the net force acting on an object increases?
Lorico [155]
The acceleration of an object depends directly upon the net force acting upon the object, and inversely upon the mass of the object. As the force acting upon an object is increased, the acceleration of the object is increased. As the mass of an object is increased, the acceleration of the object is decreased.
7 0
2 years ago
Read 2 more answers
How much work is accomplished when a force of 300N pushes a box across the floor for a distance of 100 meters?
Nesterboy [21]

So the correct ans is B.

hope it helps u.

5 0
3 years ago
Read 2 more answers
The Democratic Party today is generally considered more liberal than the Republican Party because its members and elected offici
m_a_m_a [10]
Today, the House Democratic caucus is composed mostly of progressives<span> and </span>centrists,<span> with a smaller minority of </span>conservative Democrats<span>. The party's philosophy of </span>modern liberalism<span> advocates </span>social<span> and </span>economic equality<span>, along with the </span>welfare state.<span> It seeks to provide government intervention and regulation in the economy.</span>
5 0
3 years ago
What are the smallest parts that make up matter?
Alecsey [184]
The smallest parts that make up different types of matter are called atoms.
Atoms are tiny elements that are made up of literally everything on earth. <span />
3 0
3 years ago
PLEASE HELP ME ON THIS ONE ANYONE
andreev551 [17]

Answer:

A & B

Explanation:

A & B Would be the right answer since Morse code cannot be represented through the height of the fire.

6 0
2 years ago
Other questions:
  • Describe how kinetic and potential energy change as a diver climbs up to a diving board and then dives into the water below.
    10·2 answers
  • Light is not a wave because it does not need a medium
    8·2 answers
  • Examples of energy transfers include collisions in chemical and nuclear reactions.
    8·1 answer
  • A student throws a water balloon vertically downward from the top of a building. The balloon leaves the thrower's hand with a sp
    8·1 answer
  • What is the fastest thing in the world, and what is its speed?
    8·1 answer
  • Ii.
    5·1 answer
  • Physical therapists know as you soak tired muscles in a hot tub, the water will cool down as you heat up. If a 67.9 kg person at
    7·1 answer
  • A metal object is suspended from a spring scale. The scale reads 920 N when the object is suspended in air, and 750N when the ob
    6·1 answer
  • The average lifespan of an incandescent lightbulb (at 60 W) is 1,200 hours. How much energy does the incandescent lightbulb use
    8·1 answer
  • A vector has an x-component
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!