A block of mass m attached to a horizontally mounted spring with spring constant ???? undergoes simple harmonic motion on a fric
1 answer:
Answer:
(E) It would increase by a factor of 2.
Explanation:
Maximum speed (v) is given by:
Where ω is the angular frequency and A is the amplitude.
The angular frequency of a spring-mass system is given by:
Where k is the spring constant and m is the mass of the block attached to the spring.
Therefore, maximum speed can be written as:
Since mass and amplitude are constant values, a relationship between maximum velocity and spring constant can be defined as:
There is a linear relationship between maximum velocity and the square root of the spring constant. Therefore if the spring constant is increased by a factor of 4, the velocity is increased by a factor of the square root of 4, which is 2.
The answer is (E) It would increase by a factor of 2.
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Explanation:
The expression for the potential difference due to charge is as follows;
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is the absolute permittivity of free space.
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Answer:
15 deg
Explanation:
Assume both snowballs are thrown with the same initial speed 27.2 m/s. The first snowball is thrown at an angle of 75◦ above the horizontal. At what angle should you throw the second snowball to make it hit the same point as the first? The acceleration of gravity is 9.8 m/s 2 . Answer in units of ◦ .
Given:
For first ball, θ1 = 75◦
initial velocity for both the balls, u = 27.2 m/s
for second ball, θ2 = ?
since distance covered by both the balls is same.
Therefore,..
R1=(u^{2} sin2\alpha _{1}) /g[/tex]
the range for the first ball
the range for the second ball
R2=(u^{2} sin2\alpha _{2}) /g[/tex]
(u^{2} sin2\alpha _{2}) /g[/tex]=(u^{2} sin2\alpha _{1}) /g[/tex]
sin2\alpha _{2})=sin2\alpha _{1})
=sin^-1(sin2\alpha _{1})
=1/2sin^-1(sin2\alpha _{1})
=
15 deg