Answer:
The new velocity of the string is 100 centimeters per second (1 meter per second).
Explanation:
The speed of a wave through a string (
), in meters per second, is defined by the following formula:
(1)
Where:
- Tension, in newtons.
- Length of the string, in meters.
- Mass of the string, in kilograms.
The expression for initial and final speeds of the wave are:
Initial speed
(2)
Final speed

(3)
By (2), we conclude that:
If we know that
, then the new speed of the wave in the string is
.
The hand saw would involve more work because it takes more time and effort.
Olivia is on a swing at the playground. The kinetic energy is increasing and her potential energy decreasing at point X.
<h3>What is kinetic energy and potential energy?</h3>
The kinetic energy of an object is the ability to do work by virtue of its motion and potential energy is the ability to do work by virtue of its position.
At point W and Z, Olivia is at the maximum displacement from the mean position, where kinetic energy is zero and potential energy is maximum.
At point Y, it is approaching to increase its potential energy and decreasing kinetic energy. Opposite to this, at point X, kinetic energy is increasing and potential energy is decreasing.
Thus, the kinetic energy is increasing and her potential energy decreasing at point X.
Learn more about kinetic energy and potential energy.
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Answer:
Velocity of electron along x direction is 57.9 m/s
Explanation:
The uncertainty in x coordinate of electron, Δx = 0.200 mm = 0.2 x 10⁻³ m
Let vₓ be the x component of electrons velocity.
The uncertainty in x component of electrons momentum is:
Δpₓ = mΔvₓ
Here m is mass of the electron.
The uncertainty in velocity x component is 1% i.e. 0.01.
So, the above equation can be written as :
Δpₓ = 0.01mvₓ ....(1)
The minimum uncertainty principle is:
....(2)
Here h is Planck's constant.
From equation (1) and (2),

Substitute 0.2 x 10⁻³ m for Δx, 9.1 x 10⁻³¹ kg for m and 6.626 x 10⁻³⁴ m²kg/s in the above equation.

vₓ = 57.9 m/s