You travel in a circle, whose circumference is 8 kilometers, at an average speed of 8 kilometers/hour. If you stop at the same p
2 answers:
You might be interested in
Answer:
Explanation:
If a particle move with time and expressed according to the formula:
f(t) = 0.01t⁴ − 0.03t³
a) Velocity is the change in motion of the particle with respect to time and it is expressed as;
Hence the velocity of the particle at time t is
b) To calculate the velocity after 1 second, we will substitute t = 1 into the function v(t) in (a) as shown:
Hence the velocity after 1second is -0.05
c) The particle is at rest when when the time is zero.
Initially, the body is not moving and the time during this time is 0. Hence the particle is at rest when t = 0second
Answer:
0.0367
Explanation:
The loss in kinetic energy results into work done by friction.
Since kinetic energy is given by
KE=0.5mv^{2}
Work done by friction is given as
W= umgd
Where m is the mass of suitacase, v is velocity of the suitcase, g is acceleration due to gravity, d is perpendicular distance where force is applied and u is coefficient of kinetic friction.
Making u the subject of the formula then we deduce that
Substituting v with 1.2 m/s, d with 2m and taking g as 9.81 m/s2 then
Therefore, the coefficient of kinetic friction is approximately 0.0367
Answer:
a) Q = C*emf
b) Reduction in electric field strength and electric potential
c) Initial current through the resistor = emf/R
d) The final charge = K*C*emf
Explanation:
a) The resistors and capacitors are connected in series with the battery
Using Kirchoff's voltage law, sum of all voltages in the circuit is zero
Let = Voltage dropped across the Resistor
= Voltage dropped across the capacitor
Applying KVL;
.........................(1)
Since the connection is in series, the same current flow through the circuit
Putting and
into equation (1)
At the final charge, the capacitor in fully charged, and current drops to zero due to equilibrium
b) Current starts running through the plate because as the sheet of plastic is inserted between the plates both the electric field intensity and the electric potential reduces. The charge also reduces, then current flows
c) The current through the resistor is the current through the entire circuit ( series connection)
Putting the values of t and I₀ into the formula for I written above
d) NB: The initial charge on the capacitor = C * emf
The final charge will be: