The total kinetic energy of the system is 2.5J
Option d) is the correct free body diagram.
Explanation:
A free-body diagram is a diagram that shows all the forces acting on a body. Each force is represented using an arrow, where:
- The length of the arrow is proportional to the magnitude of the force
- The direction of the arrow corresponds to the direction of the force
For the block in this problem, we have the following forces:
- The force F applied from the child, which acts at an angle with respect to the horizontal --> this rules out option a) and c), where the force acts horizontally
- The force of gravity (the weight of the object), labelled with W, which always acts downward --> this rules out option b), since the weight acts downward.
Therefore, the correct option is d).
(in reality, there should be another force: the normal reaction exerted by the floor on the block, N, acting upward).
Learn more about forces and weight:
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The answer to your question is 77.3
Let N be the normal force that forces the person against the wall.
Then u N = m g is the frictional force supporting the person's weight
and N = m g / u
also, N = m v^2 / R is the normal force providing the centripetal acceleration
So, m g / u = m v^2 / R
v^2 = g R / u
since v = 2 pi R T
4 pi^2 R^2 T^2 = g R / u and T^2 = g / (4 u pi^2 R)
T = 1/ (2 pi) (g /(u R))^1/2 = .159 * (9.8 m/s^2 / (.521 * 4.4 m)) ^1/2
T = .68 / s
Do you see any thing wrong here?
T should have units of seconds not 1 / seconds
v should be 2 * pi * R / T where T is the time for 1 revolution
So you need to make that correction in the above formula for v.
Answer:
IV family history of breast cancer or not.
DV chance of developing breast cancer. Hypothesis Someone with a family history of breast cancer will have a higher chance of developing it.
IV: Where the grass is placed: tree shade or direct sunlight.
Dv:The grasses growth rate
Hypothesis: Grass will grow faster in direct sunlight as opposed to tree shade
IV: Fresh veggies and fruit or not
Dv: how much the students eat: will they eat more or less?
Hypothesis The students will eat more in the lunchroom when Fresh veggies and fruits are served.
IV: The dog exercise everyday for 1 hour or not.
DV: The dogs barking: less or more.
Hypothesis: The dog will bark less when someone rings the doorbell if he exercises for 1 hour every day.
Explanation:
Observation When I wish my face before bed, I get less breakouts in the morning.
Question Does nightly face washing prevent morning breakouts?
IV Washing face at night or not
Dv How much breakouts in the morning.
Hypothesis Washing your face nightly decreases the occurrence of morning breakouts.