a) The acceleration of the car is
b) The new acceleration would be
Explanation:
a)
The acceleration of a body is equal to the rate of change of the velocity:
where
is the change in velocity
is the time interval considered
For the data of the car in this problem, we have:
is the initial velocity
is the final velocity
is the initial time
is the final time
Substituting, we find the acceleration:
b)
To solve this part, we can apply Newton's second law of motion, which states that the net force applied on a body is equal to the product between its mass and its acceleration:
where
F is the net force
m is the mass
a is the acceleration
The equation can be rewritten as
We observe that the acceleration is directly proportional to the force: therefore, if the force were cut in half, the acceleration will also halve. Therefore, the new acceleration would be
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The gravitational force <em>F</em> between two masses <em>M</em> and <em>m</em> a distance <em>r</em> apart is
<em>F</em> = <em>G M m</em> / <em>r</em> ²
Decrease the distance by a factor of 7 by replacing <em>r</em> with <em>r</em> / 7, and decrease both masses by a factor of 8 by replacing <em>M</em> and <em>m</em> with <em>M</em> / 8 and <em>m</em> / 8, respectively. Then the new force <em>F*</em> is
<em>F*</em> = <em>G </em>(<em>M</em> / 8) (<em>m</em> / 8) / (<em>r</em> / 7)²
<em>F*</em> = (1/64 × <em>G M m</em>) / (1/49 × <em>r</em> ²)
<em>F*</em> = 49/64 × <em>G M m</em> / <em>r</em> ²
In other words, the new force is scaled down by a factor of 49/64 ≈ 0.7656, so the new force has magnitude approx. 76.56 N.
Breaking down food molecules
Answer:
24.26 m/s
Explanation:
= Linear density of string =
T = Tension on the string = mg =
g = Acceleration due to gravity = 9.81 m/s²
Velocity of a string is given by
The velocity of the wave is 24.26 m/s