Answer:
x=0.46m, speed=7.9m/s
Explanation:
Using the concept of conservation of energy:
1. kinetic energy of mass m and velocity v:
2. gravitational potential energy of mass m, grav. acc. g and height h:
3. potential energy in a spring with spring constant k and displacement from equilibrium x:
Calculating x:
Calculating the speed:
Solving for :
Answer:
Q = - 256 X 10⁻⁷ C .
Explanation:
Electric field due to a charge Q at a distance d from the center is given by the expression
E = k Q /d² Where k is a constant and it is equal to 9 x 10⁹
Put the given value in the equation
9 x 10² =
Q =
Q = - 256 X 10⁻⁷ C .
It will be negative in nature as the field is directed towards the center.
1) Impulse:
2) Strong force: -131.1 N, weak force: -44.7 N
Explanation:
1)
The impulse exerted on an object is equal to the change in momentum of the object itself.
Mathematically:
where
m is the mass of the object
u is the initial velocity
v is the final velocity
For the skateboarder in this problem, we have:
m = 53.6 kg
u = 4.45 m/s
v = 0 (it comes to a stop)
Therefore, the impulse is
Where the negative sign indicates that the direction is opposite to the motion of the object.
2)
The impulse is also equal to the product between the force applied and the duration of the collision:
where
I is the impulse
F is the average force
is the time during which the force is applied
The strong force is applied in a time of
Therefore this force is
The weak force is applied in a time of
So this force is
Learn more about impulse:
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