Answer:
0.064 m
Explanation:
When a spring is stretched/compressed, the force exerted in the spring is related to the elongation of the spring by the equation:
where:
F is the force applied
k is the spring constant
x is the stretching/compression of the spring
In this problem, we have:
is the force applied by the kid on the spring
k = 128 N/m is the spring constant
Solving for x, we find how far the spring stretches:
Answer:
Kinetic energy and potential energy.
Explanation:
Kinetic energy is directly proportional to the mass of the object and to the square of its velocity: K.E. = 1/2 m v^2. If the mass has units of kilograms and the velocity of meters per second, the kinetic energy has units of kilograms-meters squared per second squared. Kinetic energy is usually measured in units of Joules (J); one Joule is equal to 1 kg m^2 / s^2.
The formula for potential energy depends on the force acting on the two objects. For the gravitational force, the formula is P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (9.8 m/s^2 at the surface of the earth) and h is the height in meters. Notice that gravitational potential energy has the same units as kinetic energy, kg m^2/s^2. In fact, all energy has the same units, kg m^2/s^2, and is measured using the unit Joule (J).
Work is also measured with the unit Joule (J).
The direction of this vector is 170° from the positive x-axis.
- Vectors are physical quantities with both magnitude and direction
- To identify the direction, we usually use angles and take a reference axis
- The vector in the diagram is 80° to the left of the positive y-axis, so the direction of the vector is 80° + 90° = 170° anti-clockwise from the positive x-axis.
- Scalars are physical quantities which have only magnitude
- Examples of vector quantities are displacement, velocity, acceleration, force etc
- Examples of scalar quantities are distance, speed, volume, density, mass, time etc
- The direction of the given vector is 170° from the positive x-axis.
Learn more about vectors here:
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<span>The electromagnet in a Galvanometer moves a pointer
along a numbered scale in response to a current. </span>
Answer:
The distance traveled by the woman is 34.1m
Explanation:
Given
The initial height of the cliff
yo = 45m final, positition y = 0m bottom of the cliff
y = yo + ut -1/2gt²
u = 20.0m/s initial speed
g = 9.80m/s²
0 = 45.0 + 20×t –1/2×9.8×t²
0 = 45 +20t –4.9t²
Solving quadratically or by using a calculator,
t = 5.69s and –1.61s byt time cannot be negative so t = 5.69s
So this is the total time it takes for the ball to reach the ground from the height it was thrown.
The distance traveled by the woman is
s = vt
Given the speed of the woman v = 6.00m/s
Therefore
s = 6.00×5.69 = 34.14m
Approximately 34.1m to 3 significant figures.
