We know that in a collision the momentum is conserved, that is:
Since this is vector equation we can divide it in two scalar equations, one for x and for y. Then we have:
Then we have for the x direction:
and for the y direction:
Hence, we have the system of equations:
From the second equation we have:
Plugging this in the first equation:
Now that we know the value of the angle we plug it in the expression for the velocity, then we have:
Therefore, the magnitude of the final speed of the orange ball is 1.04 m/s and the direction is 69.69°
Equation of power in a electrical circuit is given as:
I → Current flowing through the circuit.
R → Resistance of the circuit
We need to calculate power when;
Current (I) = 0.02 A
Resistance (R) = 30 Ω
By substituting values in the equation, we get:
Power in the circuit = 0.012 W
Answer: 0.512 kgm²
Explanation:
Given
Force, F = 2*10^3 N
Angular acceleration, α = 121 rad/s²
Lever arm, r(⊥) = 3.1 cm = 3.1*10^-2 m
τ = r(⊥) * F
Also,
τ = Iα
Using the first equation, we have
τ = r(⊥) * F
τ = 0.031 * 2*10^3
τ = 62 Nm
Now we calculate for the inertia using the second equation
τ = Iα, making I subject of formula, we have
I = τ / α, on substituting, we have
I = 62 / 121
I = 0.512 kgm²
Thus, the moment of inertia of the boxers forearm is 0.512 kgm²
A camera lens (also known as photographic lens or photographic objective) is an optical lens or assembly of lenses used in conjunction with a camera body and mechanism to make images of objects either on photographic film or on other media capable of storing an image chemically or electronically.
Answer:
1 second later the vehicle's velocity will be:
5 seconds later the vehicle's velocity will be:
Explanation:
Recall the formula for the velocity of an object under constant accelerated motion (with acceleration ""):
Therefore, in this case and
so we can estimate the velocity of the vehicle at different times just by replacing the requested "t" in the expression: