Answer:
a) 1.855m/s^2, 9.71\° to the east-north
b) 0.103N, 9.46° to the west-south
Explanation:
To find the acceleration of the system you can assume that the forces are applied in a xy plane, where force toward north are directed in the +y direction, and forces to the east in the +x direction. BY taking into account the components of the acceleration for each axis you obtain the following systems of equations:

m: mass of the crumb of bread = 0.056kg
you simplify the equations an replace the values of the mass in order to obtain the acceleration components:


then, the acceleration of the system has a magnitude of 1.855m/s^2 and a direction of 9.71\° to the east-north
The fifth force must cancel both x an y components of the previous net force, that is:


the, the force needed to reach the equilibrium has a magnitude of 0.103N and a direction of 9.46° to the west-south
Answer:
f = 878,080 N
Explanation:
mass of pile driver (m) = 2100 kg
distance of pile driver to steel beam (s) = 5 m
depth of steel driven (d) = 12 cm = 0.12 m
acceleration due to gravity (g0 = 9.8 m/s^{2}
calculate the average force exerted on the pile driver by the beam.
- from work done = force x distance
- work done = change in potential energy of the pile driver
- equating the two equations above we have
force x distance = m x g x (s - d)
f x 0.12 = 2100 x 9.8 x (5- (-0.12))
d = - 0.12 because the steel beam went down at we are taking its
initial position to be an origin point which is 0
f = ( 2100 x 9.8 x (5- (-0.12)) ) ÷ 0.12
f = 878,080 N
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The distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.
The period of pendulum can be calculated by

Where,
- period
- length = 12 inches
- gravitational acceleration = 
Put the values,

Now, the angular displacement of the pendulum can be calculated by,

Where,
- amplitude
- angle = 
- angular displacement =
= 2.866 m
Put the values and calculate for
,

Therefore, the distance traveled by pendulum, in one back-and-forth swing is 75.75 inches.
To know more about Amplitude of pendulum,
brainly.com/question/14840171
Answer:0.38
Explanation:
the formula is f = c / λ
so f= 2.5/6.5
and that equals 0.38 46 and so on so i just rounded it