Answer:c
Explanation:
Given
Alice launches with horizontal velocity
Tom simply drops straight down from the edge
Time taken by both the person is same as they have same initial vertical velocity i.e. zero so the time taken to reach the ground is zero.
Although Alice will travel more horizontal distance compared to Tom.
Thus option c is correct
Given that,
Mass of magnesium, m = 2 kg
Heat added to it, Q = 8160 J
Increase in temperature,
To find,
The specific heat of magnesium.
Solution,
Th formula that is used to find the heat required to raise the temperature in terms of specific heat is given by :
So, the specific heat of magnesium is .
To determine the wave speed from purely kinematic quantities, you need to know the wavelength of the wave. What is the wavelength λ of the fundamental mode in the C string of the cello?
Explanation:
Given that,
Fundamental frequency of the string, f = 65.4 Hz
Length of the string, l = 0.6 m
Mass, m = 14.4 g = 0.0144 kg
(a) Let is the mass per unit length of the string. It can be calculated as :
(b) If f is the fundamental frequency of the string, the wavelength of the fundamental mode is given by :
n = 1
Hence, this is the required solution.
The mass per unit length of the string is 0.024 kg/m, and the wavelength is 1.2 meters.
It is defined as the number of waves that crosses a fixed point in one second known as frequency. The unit of frequency is per second.
We have:
Fundamental frequency = 65.4 Hz
Length of the vibrating string portion = 0.6 meter
Mass of the vibrating string portion = 144 grams
We know the formula for mass per unit length:
( m = 144 grams ⇒ 0.0144 kg)
The wavelength of the fundamental mode is given by:
(n = 1)
Thus, the mass per unit length of the string is 0.024 kg/m, and the wavelength is 1.2 meters.
Learn more about the frequency here:
The angular velocity of the disk must be 2.25 rpm
Explanation:
The centripetal acceleration of an object in circular motion is given by
where
is the angular velocity
r is the distance of the object from the axis of rotation
For the space station in this problem, we have
is the centripetal acceleration
The diameter of the disk is
d = 175 m
So the radius is
So, a point on the rim has a distance of 87.5 m from the axis of rotation. Therefore, we can re-arrange the previous equation to find the angular velocity:
And this is the angular velocity of any point along the disk. Converting into rpm,
Learn more about circular motion:
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According to her friends, with what speed was ball 2 thrown?
In the context of relative velocity, Ball 1 was thrown with a speed of 21 m/s and Ball 2 was thrown with a speed of 11 m/s according to her friends.
The problem presented involves the concept of relative velocity. The speed of the balls relative to Anita is 16 m/s and she is running at a speed of 5 m/s.
If ball 1 is thrown in the same direction as Anita is running, then the friends on ground would see the speed of the ball as the sum of its velocity relative to Anita and the speed of Anita. So, the speed of ball 1 would be 16 m/s + 5 m/s = 21 m/s. Ball 1 was thrown with a speed of 21 m/s according to her friends.
For Ball 2, if it's thrown in the opposite direction to which Anita is running, then according to her friends the speed of Ball 2 would be 16 m/s (speed of the ball relative to Anita) - 5 m/s (Anita's speed) = 11 m/s. Therefore, Ball 2 was thrown with a speed of 11 m/s according to her friends.
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