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joja [24]
3 years ago
9

Back to 'Energy & Work'

Physics
1 answer:
mixer [17]3 years ago
3 0

Answer:

Explanation: Two possible solutions

in the absence of friction

mgh = ½mv²

h = v²/2g = 24.4²(2(9.81) = 30.344...  = 30.3 m

if enough rolling friction exists to keep the ball from sliding, but ignoring air resistance and assuming the ball is already rolling smoothly at the start

mgh = ½mv² + ½Iω²

mgh = ½mv² + ½((2/3)mR²)(v/R)²

2gh = v² + (2/3)v²

2gh = (5/3)v²

h = (5/6)v²/g

h = (5/6)24.4²/9.81 = 50.5742 = 50.6 m

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It takes me 12s to lift a box upward with 20 N of force to a height of 45m. What was my power output ?
Finger [1]

Answer:

75Watts

Explanation:

Given parameters:

Time  = 12s

Force applied  = 20N

Height  = 45m

Unknown:

Power output  = ?

Solution:

Power is defined as the rate at which work is done.

 It is mathematically expressed as;

        Power  = \frac{work done}{time}

Work done  = force x distance  = 20 x 45  = 900J

        Power  = \frac{900}{12}   = 75Watts

6 0
3 years ago
Describe the difference between a transverse wave and longitudinal wave. Include the parts that you would find on a transverse w
spayn [35]
A transverse wave is a moving wave in which the current is perpendicular to the direction of the wave or path of propagation. A longitudinal wave are waves in which the displacement of the median is in the direction of the propagation.
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6 0
3 years ago
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To use Faraday's law for this problem, you will need to construct a suitable loop, around which you will integrate the electric
VikaD [51]

Answer:

a. xy

Explanation:

The Faraday's law of induction can be used to express the relationship between the electric field line integral and the magnetic flux rate change in a closed loop. In order to ensure that the relationship between the two variables is equivalent to zero, the integration should be conducted on the xy plane. The correct option is option a.

6 0
4 years ago
When a pendulum is at the position all the way to the left when it is swinging (at the top of the arc), what is true of the kine
sveticcg [70]
Kinetic energy is greatest when it passes through the center, lowest point. Potential energy is zero there.
Potential energy is greatest at the left and right ends, where it stops and heads back the other way. Kinetic energy is zero there.
So the pendulum is constantly converting its energy from one state to the other.
Pull it to the side and hold. Energy is all potential. Then let it go.
One complete swing ... to the other side and back to your hand ... does this:
Potential & let it go -> kinetic -> potential -> kinetic -> Potential & catch it.
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6 0
3 years ago
A uniform hollow spherical ball of mass 1.75 kg and radius 40.0 cm rolls without slipping up a ramp that rises at 30.0° above th
chubhunter [2.5K]

Answer:

The acceleration of the ball's center of mass = 2.94 m/s²

Explanation:

The speed of the ball at the base of the ramp, v = 2.63 m/s

Mass of the ball = 1.75 kg

Radius of the ball, R = 40 cm = 0.4 m

In this motion, potential energy due to the height of the ball is converted to linear angular kinetic energy

Based on the law of energy conservation

Potential energy = Linear KE + angular KE

KE = kinetic Energy

Linear KE = 0.5 mv²

Linear KE = 0.5 * 1.75 * 2.63²

Linear KE = 6.052 J

Angular KE = 0.5 Iω²

I = 2/ 3 MR² = 0.667 * 1.75 * 0.4²

I = 0.187 N.s

ω = V/R = 2.63/0.4

ω = 6.575 Rad/s

Angular KE = 0.5 * 0.187 * 6.575²

Angular KE = 4.04 J

PE = mgh = 1.75 * 9.8 * h = 17.15h

Using the law of energy conservation

17.15h = 6.052 + 4.04

h = 10.092/17.15

h = 0.589 m

h = Ssin \theta\\S = h/sin \theta\\S = 0.589/sin30\\S = 1.178 m\\

Using the equation of motion

v^{2} = u^{2} + 2as\\2.63^{2} = 0^{2} + 2a(1.178)\\6.917 =2.356a\\a = 6.917/2.356\\a =2.94 m/s^{2}

5 0
4 years ago
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