Answer:
a = 0.7267
, acceleration is positive therefore the speed is increasing
Explanation:
The definition of acceleration is
a = dv / dt
they give us the function of speed
v = - (t-1) sin (t² / 2)
a = - sin (t²/2) - (t-1) cos (t²/2) 2t / 2
a = - sin (t²/2) - t (t-1) cos (t²/2)
the acceleration for t = 4 s
a = - sin (4²/2) - 4 (4-1) cos (4²/2)
a = -sin 8 - 12 cos 8
remember that the angles are in radians
a = 0.7267
the problem does not indicate the units, but to be correct they must be m/s²
We see that the acceleration is positive therefore the speed is increasing
Answer:
2 ohms
Explanation:
Hi there!
Ohm's law states that
where V is the voltage, I is the current and R is the resistance.
Plug in the given information (I=7.5, V=15) and solve for R

Divide both sides by 7.5 to isolate R

Therefore, the circuit resistance would be 2 ohms.
I hope this helps!
Answer: B
Explanation:
The equation to find momentum is velocity*mass. Without velocity, there would be no momentum. Therefore the object CAN NOT be at rest.
Answer:
Total momentum of the system is 378 kg-m/s
Explanation:
It is given that,
Mass of first bumper car, m₁ = 222 kg
Velocity of first bumper car, v₁ = 3.10 m/s (in right)
Mass of other bumper car, m₂ = 165 kg
Velocity of second bumper car, v₂ = -1.88 m/s (in left)
Momentum of the system is given by the product of its mass and velocity. So, the total momentum of this system is given by :


p = 378 kg-m/s
Hence, the total momentum of the system is 378 kg-m/s
Answer:
v = 330.7 m/s
Explanation:
Let say initially the speed of two blood cells is v and they are far apart from each other
when they come to the closest distance to each other then in that case the initial total kinetic energy of two blood cells will convert into electrostatic potential energy of the cells
So we can say

here we know that




now we will have


