First convert the speed of mosquito to m/s:
So the mosquito is flying at (2,400/3,600) m/s,
or ⅔ m/s.
<span>
Since you are moving at 2m/s, so this makes the closing
velocity between you and the mosquito to be 2⅔ m/s. </span>
Therefore the mosquito will hit your sunglasses at:<span>
35 m / (2⅔ m/s) = 13⅛ seconds.
2.0 m/s * 13⅛ s = 26¼ m from your initial position.
<span>⅔ m/s * 13⅛ s = 8¾ m from the mosquito's initial position. </span></span>
Explanation:
Problem 2.5, mixing dough.
Please note dimensional units and standard formulas for energies.
Input:
Electrical energy = VIT = 110 V * 1.5 A * 5 min. * 60 s/min = 49500 joules = 49.5 kJ
Output:
Warming of dough = mCΔT = 1 kg * 4.2 kJ/(kg*K) * 5 deg.K = 21 kJ
Dissipation of energy = remainder of input energy = (49.5-21) kJ = 28.5 kJ
Fraction of energy converted to energy of dough = 21 kJ / 49.5 kJ
= forty-two percent (to the nearest percent)
The last item, dissipation of energy could be attributed to:
1. Loss in efficiency of mixer in the form of mechanical friction, heating up due to resistance of motor circuit, etc.
2. Loss in mechanical mixing of dough due to friction between mixer paddle and dough in the form of heat, part of which stays with dough (thus heating up of dough), and the remainder heats up the dough container, loss of heat to environment, air, heat of vaporization of water content of dough, etc.
Answer:
The maximum speed of the heart wall during the motion is 0.032 m/s
Explanation:
Given:
A = amplitude of vibration = 1.7 mm = 1.7x10⁻³m
f = frequency = 3 Hz
The angular velocity is:
The maximum speed of the heart wall during the motion is equal to:
Answer:
This can easily be solved using the "range" formula
R = V0^2 * sin 2θ / g
V0^2 = g R / sin 2θ = 9.80 * 43 / sin 144 = 717 m^2/s^2
V0 = 26.8 m/s
Answer:
6.2 seconds
Explanation:
Using Newton's second law, ∑F=ma, we know the net force acting on the object is Force applied-Force of friction. The net force is 203 N. Newton's second law requires the mass of an object, not the weight force, so we will have to calculate the mass. We know that m*g=weight force, in this case, solve for the mass and you will get 210 kg. Now that we have the value of the net force and the mass, we can solve for acceleration. =0.967 m/s^2. Now, since we have the acceleration, initial velocity(0 m/s), and the final velocity (6m/s) we will use these to solve for time using the kinematic equation Vf=Vi + at. Plug in the values we know and solve for time and you will get 6.2 seconds