Answer:
Explanation:
A differential equation that contain a term with di(t)/dt is in a RL circuit. Here we have
where vr is the voltage in the resistance, vi is the voltage in the inductance and vb is the source voltage. But also we have that
where L is the inductance of the circuit, r is the resistance an i is the current. By replacing we have the differential equation
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Acceleration is defined as rate of change in velocity
So we can write its formula as
here we know that
= final velocity = 56 m/s
= initial velocity = 7.6 m/s
t = time interval to change the velocity = 3 s
now we will plug in all values in the above equation
so here roller coaster will accelerate at rate of 16 m/s^2 and hence correct answer is "option d"
Use light-years as the unit of measurement <span />
The difference in the force exerted by the ground during a race between these two species is 259.25
<h3>What is force?</h3>
Forces are influences that can change the movement of an object. A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.
Force exerted by the lion:
Normal force = mg
170 = m × 9.8
m = 17.34 kg
Forward force = ma
= 17.34 × 10.0
= 173.4 N
Total force = Normal force + Forward force
Total force = 170 + 173.4
= 343.4 N
Force exerted by the man:
Normal force = mg
75 = m × 9.8
m = 7.65 kg
Forward force = ma
= 7.65 × 10.0
= 76.5 N
Total force = Normal force + Forward force
Total force = 7.65 + 76.5
= 84.15 N
The difference in the forces exerted by these species is:
343.4 N - 76.5 N = 259.25 N
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Answer:
(a)
(b)
Explanation:
According to the law of conservation of momentum:
Initially, the girl and the plank are at rest. So, relative to the ice, we have:
(a) The velocity of the girl relative to the ice is:
Here, is the velocity of the girl relative to the plank and is the velocity of the plank relative to the ice.
Replacing (1) in (2):
(b) According to (2), the velocity of the plank relative to the surface of ice is:
The negative sing indicates that the plank is moving to the left.